input stringlengths 13 66 | output stringlengths 30 276 |
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Solve 3x - 5/3 = 0 | 3x - 5/3 = 0
3x = 5/3
x = 5/3 / 3
x = 5/9 |
Solve quickly: x^2 + 4/5x - 12/5 = 0 | x^2 + 4/5x - 12/5 = 0
(x - 6/5)(x - -2) = 0
x - 6/5 = 0 or x - -2 = 0
x = 6/5
x = -2 |
Compute the solution of x^2 + 1/4x - 9/2 = 0 | x^2 + 1/4x - 9/2 = 0
(x - -9/4)(x - 2) = 0
x - -9/4 = 0 or x - 2 = 0
x = -9/4
x = 2 |
Find x and y such that
5x + 2y = 41/3
3x + 10y = -5 | 5x + 2y = 41/3
3x + 10y = -5
Using elimination
3*(5x + 2y = 41/3)
5*(3x + 10y = -5)
15x + 6y = 41
15x + 50y = -25
Subtract equations
-44y = 66
y = 66/-44
y = -3/2
Substitute y
5x + 2(-3/2) = 41/3
5x = 50/3
x = 50/3/5
x = 10/3 |
Determine x in x^3 - 241/70x^2 + 113/35x - 24/35 = 0 | x^3 - 241/70x^2 + 113/35x - 24/35 = 0
(x - 2)(x - 8/7)(x - 3/10) = 0
x - 2 = 0
x - 8/7 = 0
x - 3/10 = 0
x = 2
x = 8/7
x = 3/10 |
Solve x^2 + 97/6x + 247/6 = 0 | x^2 + 97/6x + 247/6 = 0
(x - -19/6)(x - -13) = 0
x - -19/6 = 0 or x - -13 = 0
x = -19/6
x = -13 |
Find x in x^3 - 277/40x^2 + 91/16x + 1881/80 = 0 | x^3 - 277/40x^2 + 91/16x + 1881/80 = 0
(x - -11/8)(x - 19/5)(x - 9/2) = 0
x - -11/8 = 0
x - 19/5 = 0
x - 9/2 = 0
x = -11/8
x = 19/5
x = 9/2 |
Determine x in x^2 + 50/63x - 32/7 = 0 | x^2 + 50/63x - 32/7 = 0
(x - -18/7)(x - 16/9) = 0
x - -18/7 = 0 or x - 16/9 = 0
x = -18/7
x = 16/9 |
Find x and y such that
6x + 9y = -18
8x + 4y = -40/3 | 6x + 9y = -18
8x + 4y = -40/3
Using elimination
8*(6x + 9y = -18)
6*(8x + 4y = -40/3)
48x + 72y = -144
48x + 24y = -80
Subtract equations
48y = -64
y = -64/48
y = -4/3
Substitute y
6x + 9(-4/3) = -18
6x = -6
x = -6/6
x = -1 |
Find the solution to x^3 - 7/12x^2 - 77/3x + 221/4 = 0 | x^3 - 7/12x^2 - 77/3x + 221/4 = 0
(x - 13/4)(x - 3)(x - -17/3) = 0
x - 13/4 = 0
x - 3 = 0
x - -17/3 = 0
x = 13/4
x = 3
x = -17/3 |
Compute the solution of 2x + 17/3 = 0 | 2x + 17/3 = 0
2x = -17/3
x = -17/3 / 2
x = -17/6 |
Compute the solution of x^2 - 47/20x - 11/10 = 0 | x^2 - 47/20x - 11/10 = 0
(x - -2/5)(x - 11/4) = 0
x - -2/5 = 0 or x - 11/4 = 0
x = -2/5
x = 11/4 |
Solve x^3 - 9x^2 + 74/9x + 544/9 = 0 | x^3 - 9x^2 + 74/9x + 544/9 = 0
(x - -2)(x - 17/3)(x - 16/3) = 0
x - -2 = 0
x - 17/3 = 0
x - 16/3 = 0
x = -2
x = 17/3
x = 16/3 |
Solve the equations:
7x + 3y = 38
3x + 8y = 93/2 | 7x + 3y = 38
3x + 8y = 93/2
Using elimination
3*(7x + 3y = 38)
7*(3x + 8y = 93/2)
21x + 9y = 114
21x + 56y = 651/2
Subtract equations
-47y = -423/2
y = -423/2/-47
y = 9/2
Substitute y
7x + 3(9/2) = 38
7x = 49/2
x = 49/2/7
x = 7/2 |
Solve quickly: x^2 + 13/5x - 6/5 = 0 | x^2 + 13/5x - 6/5 = 0
(x - -3)(x - 2/5) = 0
x - -3 = 0 or x - 2/5 = 0
x = -3
x = 2/5 |
Solve the system:
6x + 9y = 21/2
1x + 4y = 1/2 | 6x + 9y = 21/2
1x + 4y = 1/2
Using elimination
1*(6x + 9y = 21/2)
6*(1x + 4y = 1/2)
6x + 9y = 21/2
6x + 24y = 3
Subtract equations
-15y = 15/2
y = 15/2/-15
y = -1/2
Substitute y
6x + 9(-1/2) = 21/2
6x = 15
x = 15/6
x = 5/2 |
Solve the equation x^3 + 15/4x^2 + 13/8x = 0 | x^3 + 15/4x^2 + 13/8x = 0
(x - -13/4)(x - -1/2)(x - 0) = 0
x - -13/4 = 0
x - -1/2 = 0
x - 0 = 0
x = -13/4
x = -1/2
x = 0 |
Find the solution to 6x + 24/5 = 0 | 6x + 24/5 = 0
6x = -24/5
x = -24/5 / 6
x = -4/5 |
Solve the equations:
5x + 8y = -161/5
10x + 2y = -84/5 | 5x + 8y = -161/5
10x + 2y = -84/5
Using elimination
10*(5x + 8y = -161/5)
5*(10x + 2y = -84/5)
50x + 80y = -322
50x + 10y = -84
Subtract equations
70y = -238
y = -238/70
y = -17/5
Substitute y
5x + 8(-17/5) = -161/5
5x = -5
x = -5/5
x = -1 |
Find x for 5x + 65/8 = 0 | 5x + 65/8 = 0
5x = -65/8
x = -65/8 / 5
x = -13/8 |
Find x in 2x + 2/3 = 0 | 2x + 2/3 = 0
2x = -2/3
x = -2/3 / 2
x = -1/3 |
Solve the equation x^3 - 557/28x^2 - 195/28x + 675/7 = 0 | x^3 - 557/28x^2 - 195/28x + 675/7 = 0
(x - -9/4)(x - 15/7)(x - 20) = 0
x - -9/4 = 0
x - 15/7 = 0
x - 20 = 0
x = -9/4
x = 15/7
x = 20 |
Solve the system:
6x + 10y = -97/7
3x + 1y = 31/14 | 6x + 10y = -97/7
3x + 1y = 31/14
Using elimination
3*(6x + 10y = -97/7)
6*(3x + 1y = 31/14)
18x + 30y = -291/7
18x + 6y = 93/7
Subtract equations
24y = -384/7
y = -384/7/24
y = -16/7
Substitute y
6x + 10(-16/7) = -97/7
6x = 9
x = 9/6
x = 3/2 |
Find the solution to 9x + 36/5 = 0 | 9x + 36/5 = 0
9x = -36/5
x = -36/5 / 9
x = -4/5 |
Find x for x^2 + 81/4x + 95/4 = 0 | x^2 + 81/4x + 95/4 = 0
(x - -5/4)(x - -19) = 0
x - -5/4 = 0 or x - -19 = 0
x = -5/4
x = -19 |
Compute the solution of x^3 - 1/15x^2 - 1321/300x + 91/25 = 0 | x^3 - 1/15x^2 - 1321/300x + 91/25 = 0
(x - 13/10)(x - 7/6)(x - -12/5) = 0
x - 13/10 = 0
x - 7/6 = 0
x - -12/5 = 0
x = 13/10
x = 7/6
x = -12/5 |
Solve the equations:
7x + 2y = 35
5x + 10y = 25 | 7x + 2y = 35
5x + 10y = 25
Using elimination
5*(7x + 2y = 35)
7*(5x + 10y = 25)
35x + 10y = 175
35x + 70y = 175
Subtract equations
-60y = 0
y = 0/-60
y = 0
Substitute y
7x + 2(0) = 35
7x = 35
x = 35/7
x = 5 |
Solve simultaneously:
7x + 4y = -119/30
2x + 5y = -23/6 | 7x + 4y = -119/30
2x + 5y = -23/6
Using elimination
2*(7x + 4y = -119/30)
7*(2x + 5y = -23/6)
14x + 8y = -119/15
14x + 35y = -161/6
Subtract equations
-27y = 189/10
y = 189/10/-27
y = -7/10
Substitute y
7x + 4(-7/10) = -119/30
7x = -7/6
x = -7/6/7
x = -1/6 |
Find x and y such that
6x + 8y = -179/20
6x + 1y = -193/20 | 6x + 8y = -179/20
6x + 1y = -193/20
Using elimination
6*(6x + 8y = -179/20)
6*(6x + 1y = -193/20)
36x + 48y = -537/10
36x + 6y = -579/10
Subtract equations
42y = 21/5
y = 21/5/42
y = 1/10
Substitute y
6x + 8(1/10) = -179/20
6x = -39/4
x = -39/4/6
x = -13/8 |
Solve x^3 - 139/72x^2 - 19/18x = 0 | x^3 - 139/72x^2 - 19/18x = 0
(x - 0)(x - -4/9)(x - 19/8) = 0
x - 0 = 0
x - -4/9 = 0
x - 19/8 = 0
x = 0
x = -4/9
x = 19/8 |
Solve the equation x^2 - 7x - 30 = 0 | x^2 - 7x - 30 = 0
(x - -3)(x - 10) = 0
x - -3 = 0 or x - 10 = 0
x = -3
x = 10 |
Solve quickly: 1x + 15 = 0 | 1x + 15 = 0
1x = -15
x = -15 / 1
x = -15 |
Determine x in x^3 + 305/56x^2 - 291/28x + 27/8 = 0 | x^3 + 305/56x^2 - 291/28x + 27/8 = 0
(x - 9/8)(x - 3/7)(x - -7) = 0
x - 9/8 = 0
x - 3/7 = 0
x - -7 = 0
x = 9/8
x = 3/7
x = -7 |
Solve quickly: 3x - 42 = 0 | 3x - 42 = 0
3x = 42
x = 42 / 3
x = 14 |
Find x in 8x + 32 = 0 | 8x + 32 = 0
8x = -32
x = -32 / 8
x = -4 |
Find x for 2x - 36 = 0 | 2x - 36 = 0
2x = 36
x = 36 / 2
x = 18 |
Solve the system:
3x + 6y = -3
6x + 5y = -13 | 3x + 6y = -3
6x + 5y = -13
Using elimination
6*(3x + 6y = -3)
3*(6x + 5y = -13)
18x + 36y = -18
18x + 15y = -39
Subtract equations
21y = 21
y = 21/21
y = 1
Substitute y
3x + 6(1) = -3
3x = -9
x = -9/3
x = -3 |
Solve x^3 - 41/14x^2 - 34/7x + 10 = 0 | x^3 - 41/14x^2 - 34/7x + 10 = 0
(x - 7/2)(x - 10/7)(x - -2) = 0
x - 7/2 = 0
x - 10/7 = 0
x - -2 = 0
x = 7/2
x = 10/7
x = -2 |
Find x and y such that
1x + 7y = 23/4
5x + 6y = 7 | 1x + 7y = 23/4
5x + 6y = 7
Using elimination
5*(1x + 7y = 23/4)
1*(5x + 6y = 7)
5x + 35y = 115/4
5x + 6y = 7
Subtract equations
29y = 87/4
y = 87/4/29
y = 3/4
Substitute y
1x + 7(3/4) = 23/4
1x = 1/2
x = 1/2/1
x = 1/2 |
Solve the equation x^2 + 31/7x + 12/7 = 0 | x^2 + 31/7x + 12/7 = 0
(x - -3/7)(x - -4) = 0
x - -3/7 = 0 or x - -4 = 0
x = -3/7
x = -4 |
Compute the solution of x^2 + 133/45x - 68/45 = 0 | x^2 + 133/45x - 68/45 = 0
(x - 4/9)(x - -17/5) = 0
x - 4/9 = 0 or x - -17/5 = 0
x = 4/9
x = -17/5 |
Find x and y such that
9x + 4y = 117
2x + 4y = 26 | 9x + 4y = 117
2x + 4y = 26
Using elimination
2*(9x + 4y = 117)
9*(2x + 4y = 26)
18x + 8y = 234
18x + 36y = 234
Subtract equations
-28y = 0
y = 0/-28
y = 0
Substitute y
9x + 4(0) = 117
9x = 117
x = 117/9
x = 13 |
Find x for x^3 - 83/30x^2 - 35/12x + 209/40 = 0 | x^3 - 83/30x^2 - 35/12x + 209/40 = 0
(x - 11/10)(x - 19/6)(x - -3/2) = 0
x - 11/10 = 0
x - 19/6 = 0
x - -3/2 = 0
x = 11/10
x = 19/6
x = -3/2 |
Find the solution to x^2 - 4 = 0 | x^2 - 4 = 0
(x - -2)(x - 2) = 0
x - -2 = 0 or x - 2 = 0
x = -2
x = 2 |
Find x for 3x + 21/2 = 0 | 3x + 21/2 = 0
3x = -21/2
x = -21/2 / 3
x = -7/2 |
Solve quickly: 5x + 5/2 = 0 | 5x + 5/2 = 0
5x = -5/2
x = -5/2 / 5
x = -1/2 |
Find x and y such that
1x + 3y = 24/5
9x + 9y = 297/5 | 1x + 3y = 24/5
9x + 9y = 297/5
Using elimination
9*(1x + 3y = 24/5)
1*(9x + 9y = 297/5)
9x + 27y = 216/5
9x + 9y = 297/5
Subtract equations
18y = -81/5
y = -81/5/18
y = -9/10
Substitute y
1x + 3(-9/10) = 24/5
1x = 15/2
x = 15/2/1
x = 15/2 |
Solve simultaneously:
1x + 9y = 453/20
2x + 9y = 219/10 | 1x + 9y = 453/20
2x + 9y = 219/10
Using elimination
2*(1x + 9y = 453/20)
1*(2x + 9y = 219/10)
2x + 18y = 453/10
2x + 9y = 219/10
Subtract equations
9y = 117/5
y = 117/5/9
y = 13/5
Substitute y
1x + 9(13/5) = 453/20
1x = -3/4
x = -3/4/1
x = -3/4 |
Determine x in 1x + 3/7 = 0 | 1x + 3/7 = 0
1x = -3/7
x = -3/7 / 1
x = -3/7 |
Solve the equations:
4x + 10y = -206/3
1x + 5y = -94/3 | 4x + 10y = -206/3
1x + 5y = -94/3
Using elimination
1*(4x + 10y = -206/3)
4*(1x + 5y = -94/3)
4x + 10y = -206/3
4x + 20y = -376/3
Subtract equations
-10y = 170/3
y = 170/3/-10
y = -17/3
Substitute y
4x + 10(-17/3) = -206/3
4x = -12
x = -12/4
x = -3 |
Compute the solution of x^3 - 16/7x^2 - 95/7x = 0 | x^3 - 16/7x^2 - 95/7x = 0
(x - 5)(x - -19/7)(x - 0) = 0
x - 5 = 0
x - -19/7 = 0
x - 0 = 0
x = 5
x = -19/7
x = 0 |
Compute the solution of 6x + 48 = 0 | 6x + 48 = 0
6x = -48
x = -48 / 6
x = -8 |
Find x in x^3 - 17x^2 + 134/25x + 4256/25 = 0 | x^3 - 17x^2 + 134/25x + 4256/25 = 0
(x - 19/5)(x - 16)(x - -14/5) = 0
x - 19/5 = 0
x - 16 = 0
x - -14/5 = 0
x = 19/5
x = 16
x = -14/5 |
Find the solution to 10x - 50/3 = 0 | 10x - 50/3 = 0
10x = 50/3
x = 50/3 / 10
x = 5/3 |
Find x for 1x - 8/3 = 0 | 1x - 8/3 = 0
1x = 8/3
x = 8/3 / 1
x = 8/3 |
Determine x in x^3 + 179/30x^2 + 57/5x + 104/15 = 0 | x^3 + 179/30x^2 + 57/5x + 104/15 = 0
(x - -2)(x - -8/3)(x - -13/10) = 0
x - -2 = 0
x - -8/3 = 0
x - -13/10 = 0
x = -2
x = -8/3
x = -13/10 |
Solve 10x + 130/9 = 0 | 10x + 130/9 = 0
10x = -130/9
x = -130/9 / 10
x = -13/9 |
Solve x^2 - 14/9x + 13/81 = 0 | x^2 - 14/9x + 13/81 = 0
(x - 13/9)(x - 1/9) = 0
x - 13/9 = 0 or x - 1/9 = 0
x = 13/9
x = 1/9 |
Solve 7x + 2 = 0 | 7x + 2 = 0
7x = -2
x = -2 / 7
x = -2/7 |
Find the solution to x^3 + 149/40x^2 + 201/200x - 54/25 = 0 | x^3 + 149/40x^2 + 201/200x - 54/25 = 0
(x - 3/5)(x - -16/5)(x - -9/8) = 0
x - 3/5 = 0
x - -16/5 = 0
x - -9/8 = 0
x = 3/5
x = -16/5
x = -9/8 |
What value of x satisfies 5x - 90 = 0 | 5x - 90 = 0
5x = 90
x = 90 / 5
x = 18 |
What value of x satisfies x^3 - 16/3x^2 + 13/9x + 10/9 = 0 | x^3 - 16/3x^2 + 13/9x + 10/9 = 0
(x - -1/3)(x - 5)(x - 2/3) = 0
x - -1/3 = 0
x - 5 = 0
x - 2/3 = 0
x = -1/3
x = 5
x = 2/3 |
Solve the system:
7x + 1y = -51/8
7x + 2y = -53/8 | 7x + 1y = -51/8
7x + 2y = -53/8
Using elimination
7*(7x + 1y = -51/8)
7*(7x + 2y = -53/8)
49x + 7y = -357/8
49x + 14y = -371/8
Subtract equations
-7y = 7/4
y = 7/4/-7
y = -1/4
Substitute y
7x + 1(-1/4) = -51/8
7x = -49/8
x = -49/8/7
x = -7/8 |
Solve x^2 - 9/2x + 5 = 0 | x^2 - 9/2x + 5 = 0
(x - 5/2)(x - 2) = 0
x - 5/2 = 0 or x - 2 = 0
x = 5/2
x = 2 |
Find x and y such that
1x + 7y = -173/4
8x + 2y = -22 | 1x + 7y = -173/4
8x + 2y = -22
Using elimination
8*(1x + 7y = -173/4)
1*(8x + 2y = -22)
8x + 56y = -346
8x + 2y = -22
Subtract equations
54y = -324
y = -324/54
y = -6
Substitute y
1x + 7(-6) = -173/4
1x = -5/4
x = -5/4/1
x = -5/4 |
Solve quickly: x^2 + 5/2x - 6 = 0 | x^2 + 5/2x - 6 = 0
(x - 3/2)(x - -4) = 0
x - 3/2 = 0 or x - -4 = 0
x = 3/2
x = -4 |
Find x in x^3 + 269/126x^2 + 101/189x + 13/378 = 0 | x^3 + 269/126x^2 + 101/189x + 13/378 = 0
(x - -1/9)(x - -1/6)(x - -13/7) = 0
x - -1/9 = 0
x - -1/6 = 0
x - -13/7 = 0
x = -1/9
x = -1/6
x = -13/7 |
Compute the solution of 2x - 3/4 = 0 | 2x - 3/4 = 0
2x = 3/4
x = 3/4 / 2
x = 3/8 |
What value of x satisfies x^2 + 31/2x + 21 = 0 | x^2 + 31/2x + 21 = 0
(x - -3/2)(x - -14) = 0
x - -3/2 = 0 or x - -14 = 0
x = -3/2
x = -14 |
Compute the solution of x^2 + 15/2x + 9 = 0 | x^2 + 15/2x + 9 = 0
(x - -3/2)(x - -6) = 0
x - -3/2 = 0 or x - -6 = 0
x = -3/2
x = -6 |
What value of x satisfies x^3 - 21/4x - 5/2 = 0 | x^3 - 21/4x - 5/2 = 0
(x - 5/2)(x - -1/2)(x - -2) = 0
x - 5/2 = 0
x - -1/2 = 0
x - -2 = 0
x = 5/2
x = -1/2
x = -2 |
Find x for x^3 - 81/35x^2 - 871/175x + 153/35 = 0 | x^3 - 81/35x^2 - 871/175x + 153/35 = 0
(x - -9/5)(x - 17/5)(x - 5/7) = 0
x - -9/5 = 0
x - 17/5 = 0
x - 5/7 = 0
x = -9/5
x = 17/5
x = 5/7 |
Determine x in 9x + 8 = 0 | 9x + 8 = 0
9x = -8
x = -8 / 9
x = -8/9 |
Solve simultaneously:
5x + 2y = 9/2
6x + 3y = 15/4 | 5x + 2y = 9/2
6x + 3y = 15/4
Using elimination
6*(5x + 2y = 9/2)
5*(6x + 3y = 15/4)
30x + 12y = 27
30x + 15y = 75/4
Subtract equations
-3y = 33/4
y = 33/4/-3
y = -11/4
Substitute y
5x + 2(-11/4) = 9/2
5x = 10
x = 10/5
x = 2 |
Solve simultaneously:
5x + 4y = 87/2
8x + 6y = 277/4 | 5x + 4y = 87/2
8x + 6y = 277/4
Using elimination
8*(5x + 4y = 87/2)
5*(8x + 6y = 277/4)
40x + 32y = 348
40x + 30y = 1385/4
Subtract equations
2y = 7/4
y = 7/4/2
y = 7/8
Substitute y
5x + 4(7/8) = 87/2
5x = 40
x = 40/5
x = 8 |
Find the solution to x^3 - 361/70x^2 + 181/35x + 4 = 0 | x^3 - 361/70x^2 + 181/35x + 4 = 0
(x - 14/5)(x - -1/2)(x - 20/7) = 0
x - 14/5 = 0
x - -1/2 = 0
x - 20/7 = 0
x = 14/5
x = -1/2
x = 20/7 |
Find x and y such that
6x + 10y = -56/3
4x + 10y = -148/9 | 6x + 10y = -56/3
4x + 10y = -148/9
Using elimination
4*(6x + 10y = -56/3)
6*(4x + 10y = -148/9)
24x + 40y = -224/3
24x + 60y = -296/3
Subtract equations
-20y = 24
y = 24/-20
y = -6/5
Substitute y
6x + 10(-6/5) = -56/3
6x = -20/3
x = -20/3/6
x = -10/9 |
Determine x in x^3 + 38/3x^2 - 485/3x - 300 = 0 | x^3 + 38/3x^2 - 485/3x - 300 = 0
(x - 9)(x - -20)(x - -5/3) = 0
x - 9 = 0
x - -20 = 0
x - -5/3 = 0
x = 9
x = -20
x = -5/3 |
Find x for x^2 + 11/6x - 13/18 = 0 | x^2 + 11/6x - 13/18 = 0
(x - 1/3)(x - -13/6) = 0
x - 1/3 = 0 or x - -13/6 = 0
x = 1/3
x = -13/6 |
Find x and y such that
6x + 9y = 48
9x + 4y = 53 | 6x + 9y = 48
9x + 4y = 53
Using elimination
9*(6x + 9y = 48)
6*(9x + 4y = 53)
54x + 81y = 432
54x + 24y = 318
Subtract equations
57y = 114
y = 114/57
y = 2
Substitute y
6x + 9(2) = 48
6x = 30
x = 30/6
x = 5 |
Determine x in 8x + 80/3 = 0 | 8x + 80/3 = 0
8x = -80/3
x = -80/3 / 8
x = -10/3 |
Solve simultaneously:
7x + 3y = -235/6
7x + 10y = -733/18 | 7x + 3y = -235/6
7x + 10y = -733/18
Using elimination
7*(7x + 3y = -235/6)
7*(7x + 10y = -733/18)
49x + 21y = -1645/6
49x + 70y = -5131/18
Subtract equations
-49y = 98/9
y = 98/9/-49
y = -2/9
Substitute y
7x + 3(-2/9) = -235/6
7x = -77/2
x = -77/2/7
x = -11/2 |
Solve x^3 + 1/3x^2 - 301/81x - 247/81 = 0 | x^3 + 1/3x^2 - 301/81x - 247/81 = 0
(x - -1)(x - -13/9)(x - 19/9) = 0
x - -1 = 0
x - -13/9 = 0
x - 19/9 = 0
x = -1
x = -13/9
x = 19/9 |
Determine x in x^3 - 136/35x^2 + 689/175x - 16/25 = 0 | x^3 - 136/35x^2 + 689/175x - 16/25 = 0
(x - 7/5)(x - 16/7)(x - 1/5) = 0
x - 7/5 = 0
x - 16/7 = 0
x - 1/5 = 0
x = 7/5
x = 16/7
x = 1/5 |
Find the solution to x^2 + 80/63x - 16/21 = 0 | x^2 + 80/63x - 16/21 = 0
(x - 4/9)(x - -12/7) = 0
x - 4/9 = 0 or x - -12/7 = 0
x = 4/9
x = -12/7 |
Compute the solution of x^2 - 127/7x + 240/7 = 0 | x^2 - 127/7x + 240/7 = 0
(x - 16)(x - 15/7) = 0
x - 16 = 0 or x - 15/7 = 0
x = 16
x = 15/7 |
Compute the solution of x^3 + 1/14x^2 - 793/175x - 187/50 = 0 | x^3 + 1/14x^2 - 793/175x - 187/50 = 0
(x - -7/5)(x - 17/7)(x - -11/10) = 0
x - -7/5 = 0
x - 17/7 = 0
x - -11/10 = 0
x = -7/5
x = 17/7
x = -11/10 |
Solve quickly: 5x + 35/2 = 0 | 5x + 35/2 = 0
5x = -35/2
x = -35/2 / 5
x = -7/2 |
What value of x satisfies x^3 + 515/168x^2 - 19/21x - 30/7 = 0 | x^3 + 515/168x^2 - 19/21x - 30/7 = 0
(x - -20/7)(x - -4/3)(x - 9/8) = 0
x - -20/7 = 0
x - -4/3 = 0
x - 9/8 = 0
x = -20/7
x = -4/3
x = 9/8 |
Find x for 3x - 3 = 0 | 3x - 3 = 0
3x = 3
x = 3 / 3
x = 1 |
Solve simultaneously:
6x + 10y = -78/35
7x + 3y = -351/35 | 6x + 10y = -78/35
7x + 3y = -351/35
Using elimination
7*(6x + 10y = -78/35)
6*(7x + 3y = -351/35)
42x + 70y = -78/5
42x + 18y = -2106/35
Subtract equations
52y = 312/7
y = 312/7/52
y = 6/7
Substitute y
6x + 10(6/7) = -78/35
6x = -54/5
x = -54/5/6
x = -9/5 |
Compute the solution of x^3 + 10x^2 + 433/49x - 72/49 = 0 | x^3 + 10x^2 + 433/49x - 72/49 = 0
(x - 1/7)(x - -8/7)(x - -9) = 0
x - 1/7 = 0
x - -8/7 = 0
x - -9 = 0
x = 1/7
x = -8/7
x = -9 |
Find x and y such that
1x + 5y = -53/4
9x + 4y = -909/20 | 1x + 5y = -53/4
9x + 4y = -909/20
Using elimination
9*(1x + 5y = -53/4)
1*(9x + 4y = -909/20)
9x + 45y = -477/4
9x + 4y = -909/20
Subtract equations
41y = -369/5
y = -369/5/41
y = -9/5
Substitute y
1x + 5(-9/5) = -53/4
1x = -17/4
x = -17/4/1
x = -17/4 |
What value of x satisfies x^3 - 55/4x^2 + 397/8x - 85/2 = 0 | x^3 - 55/4x^2 + 397/8x - 85/2 = 0
(x - 17/2)(x - 4)(x - 5/4) = 0
x - 17/2 = 0
x - 4 = 0
x - 5/4 = 0
x = 17/2
x = 4
x = 5/4 |
Find x for x^2 + 19/5x + 84/25 = 0 | x^2 + 19/5x + 84/25 = 0
(x - -7/5)(x - -12/5) = 0
x - -7/5 = 0 or x - -12/5 = 0
x = -7/5
x = -12/5 |
Solve the equations:
10x + 7y = 109/14
1x + 2y = 10/7 | 10x + 7y = 109/14
1x + 2y = 10/7
Using elimination
1*(10x + 7y = 109/14)
10*(1x + 2y = 10/7)
10x + 7y = 109/14
10x + 20y = 100/7
Subtract equations
-13y = -13/2
y = -13/2/-13
y = 1/2
Substitute y
10x + 7(1/2) = 109/14
10x = 30/7
x = 30/7/10
x = 3/7 |
Determine x in x^3 + 4/5x^2 - 1/25x - 4/125 = 0 | x^3 + 4/5x^2 - 1/25x - 4/125 = 0
(x - -4/5)(x - 1/5)(x - -1/5) = 0
x - -4/5 = 0
x - 1/5 = 0
x - -1/5 = 0
x = -4/5
x = 1/5
x = -1/5 |
Solve simultaneously:
10x + 1y = 83/4
1x + 4y = 64/5 | 10x + 1y = 83/4
1x + 4y = 64/5
Using elimination
1*(10x + 1y = 83/4)
10*(1x + 4y = 64/5)
10x + 1y = 83/4
10x + 40y = 128
Subtract equations
-39y = -429/4
y = -429/4/-39
y = 11/4
Substitute y
10x + 1(11/4) = 83/4
10x = 18
x = 18/10
x = 9/5 |
Find the solution to x^3 + 117/35x^2 - 72/5x + 324/35 = 0 | x^3 + 117/35x^2 - 72/5x + 324/35 = 0
(x - 6/7)(x - -6)(x - 9/5) = 0
x - 6/7 = 0
x - -6 = 0
x - 9/5 = 0
x = 6/7
x = -6
x = 9/5 |
Solve x^3 - 239/30x^2 + 103/5x - 171/10 = 0 | x^3 - 239/30x^2 + 103/5x - 171/10 = 0
(x - 3)(x - 19/6)(x - 9/5) = 0
x - 3 = 0
x - 19/6 = 0
x - 9/5 = 0
x = 3
x = 19/6
x = 9/5 |
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