- #1

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## Homework Statement

Solve (z+1)^5 = z^5

## Homework Equations

None

## 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.