-х^2+2х=0

To solve this equation, we can first factor out a common factor of x from both terms:

x(-x + 2) = 0

Now we have two factors that multiply to give zero. This means that either x = 0 or -x + 2 = 0.

Solving -x + 2 = 0 for x, we get:

-x = -2 x = 2

Therefore, the solutions to the equation -x^2 + 2x = 0 are x = 0 and x = 2.