Go ahead and try it. Now, before I tell you about the answer, go ahead and check your work, by substituting your two solutions back into the original equation. This equation has no solution. But neither of these works. That is a good reason to check your work.
Many equations have no solutions.
In our more complicated equation, we didn't get obvious nonsense, until we checked our work. Well, our solutions were not imaginary, but imaginary numbers were encountered during the attempted solution, and during the checking of our work. Well yes, in a way. No imaginary number is one more than any imaginary number. So, where did we go wrong, when we solved it.