1. The problem statement, all variables and given/known data Solve (z+1)^5 = z^5 2. Relevant equations None 3. The attempt at a solution z^5 + 5z^4 + 10z^3 + 10z^2 + 5z + 1 = z^5 5z^4 + 10z^3 + 10z^2 + 5z + 1 = 0 5z^3(z + 2) + 5z(2z + 1) = -1 I'm not quite sure how to go about solving this. Expanding, canceling terms, and then factoring doesn't get me anywhere.