Expanded out your equation is:Originally Posted by dgolverk
Using the rational roots test the possible rational zeros are x = +/- 1, +/- 2. The only rational solution is x = -1. Using synthetic division on the zero x = -1 gives:
which does have a real solution near x = 0.611 (so the other 4 are complex), but being a 5th degree polynomial equation I don't have a way to generally solve it exactly.