-х^2+2х=0

To solve the equation -x^2 + 2x = 0, we can factor out a common factor of x:

x(-x + 2) = 0

Now, we have two factors: x and (-x + 2). To find the values of x that satisfy the equation, we set each factor equal to zero and solve for x:

1. x = 0
2. -x + 2 = 0

For equation 2, we can add x to both sides:

-x + x + 2 = x 2 = x

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