(-x^2)+(2x)=

Solution for (-x^2)+(2x)= equation:

Simplifying
(-1x2) + (2x) = 0

Reorder the terms:
(2x) + (-1x2) = 0

Solving
(2x) + (-1x2) = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(2 + (-1x)) = 0

Subproblem 1
Set the factor 'x' equal to zero and attempt to solve:

Simplifying
x = 0

Solving
x = 0

Move all terms containing x to the left, all other terms to the right.

Simplifying
x = 0
Subproblem 2
Set the factor '(2 + (-1x))' equal to zero and attempt to solve:

Simplifying
2 + (-1x) = 0

Solving
2 + (-1x) = 0

Move all terms containing x to the left, all other terms to the right.

Add '-2' to each side of the equation.
2 + -2 + (-1x) = 0 + -2

Combine like terms: 2 + -2 = 0
0 + (-1x) = 0 + -2
(-1x) = 0 + -2

Combine like terms: 0 + -2 = -2
(-1x) = -2

Divide each side by '-1'.
x = 2

Simplifying
x = 2
Solution
x = {0, 2}