1. The problem statement, all variables and given/known data Find roots of complex equation (1-x)^5 = x^5 2. Relevant equations Probably Euler and/or De Moivre. 3. The attempt at a solution I know i need to have z^5 on one side and all the rest on the other side. But i need 5 roots, and i'm only getting one. (1-x)^5 = x^5 Use fifth root on both sides. (1-x) = x 2x= 1 x = 1/2 (only one solution, which i know is wrong, but no idea how to proceed).