Cross-multiplication is a quick, easy way of solving rational equations. Unfortunately, this method only works for rational equations that contain exactly one rational expression or fraction on each side of the equals sign. If your equation isn't in proper cross-multiplication form, you may need to use algebraic operations to move its terms into their proper places. For instance, the equation (x + 3)/4 - x/(-2) = 0 can easily be rearranged into cross-multiplication form by adding x/(-2) to both sides of the equation, leaving you with (x + 3)/4 = x/(-2). Keep in mind that decimals and whole numbers can be made into fractions by giving them a denominator of 1. (x + 3)/4 - 2.5 = 5, for instance, can be rewritten as (x + 3)/4 = 7.5/1, making it a valid candidate for cross-multiplication. Some rational equations can't easily be reduced into a form with one fraction or rational equation on each side of the equals sign. In such cases, use a lowest common denominator approach. Cross-multiplication simply means multiplying one fraction's numerator by the other's denominator and vice versa. Multiply the numerator of the fraction on the left of the equal sign by the denominator of the fraction on the right. Repeat with the numerator of the right-hand fraction and the denominator of the fraction on the left. Cross-multiplication works according to basic algebraic principals. Rational expressions and other fractions can be made into non-fractions by multiplying them by their denominators. Cross-multiplication is basically a handy shortcut for multiplying both sides of the equation by both fraction's denominators. Don't believe it? Try it - you'll get the same results after simplifying. After cross-multiplying, you'll have two products. Set these two terms equal to each other and simplify to get each side of the equation in its simplest terms. For example, if your original rational expression was (x+3)/4 = x/(-2), after cross multiplying, your new equation is -2(x+3) = 4x. If we wish, this can also be written as -2x - 6 = 4x. Use algebraic operations to solve for the variable in your equation. Remember that, if x appears on both sides of the equals sign, you'll need to add or subtract x terms to both sides to get x terms on only one side of the equals sign. In our example, we can divide both sides of the equation by -2, giving us x+3 = -2x. Subtracting x from both sides gives us 3 = -3x. Finally, dividing both sides by -3 gives us -1 = x, which we can re-write as x = -1. We have found x, solving our rational equation.

Summary: If necessary, rearrange your equation to get one fraction on each side of the equals sign. Cross-multiply. Set the two products as equal to each other. Solve for your variable.

Kief is more potent than buds of marijuana, so take that into consideration when determining the amount to use. You can pack a bowl or roll a joint of kief. Keep in mind that kief burns quickly and stays lit until it's completely gonemeaning that if you get distracted, the kief will burn up on its own. Pack a bowl of bud into your pipe, bong, or other smoking implement. Then, simply sprinkle a little kief on top of the bowl. Try to "corner" the bowl so the kief doesn't burn up as quickly. "Cornering" the bowl means lighting the edge or a quadrant, rather than the entire surface. Sprinkle a little kief in a thin line down a rolling paper. Add ground marijuana on top and roll it up into a joint. An even distribution of kief guarantees a smooth burn. If you smoke tobacco in addition to marijuana, you can use kief in a spliff. Combine a little kief with ground tobacco and roll it into a joint.
Summary: Smoke kief by itself for the most intense effect. Crown a packed bowl with kief to increase its potency. Line a joint with kief for a smoother burn. Put it in a spliff if you enjoy tobacco.