-х^2+2х=0

To solve the equation -x^2 + 2x = 0, we can factor out an x from the equation:

x*(-x + 2) = 0

Now, we have two factors, x and (-x + 2), and the product of these factors is equal to zero.

For the equation to be true, either x = 0 or (-x + 2) = 0.

Simplifying (-x + 2) = 0, we get:

-x = -2 x = 2

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