4x-x^2=-2x

Solution for 4x-x^2=-2x equation:

Simplifying
4x + -1x2 = -2x

Solving
4x + -1x2 = -2x

Solving for variable 'x'.

Reorder the terms:
4x + 2x + -1x2 = -2x + 2x

Combine like terms: 4x + 2x = 6x
6x + -1x2 = -2x + 2x

Combine like terms: -2x + 2x = 0
6x + -1x2 = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(6 + -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 '(6 + -1x)' equal to zero and attempt to solve:

Simplifying
6 + -1x = 0

Solving
6 + -1x = 0

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

Add '-6' to each side of the equation.
6 + -6 + -1x = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -1x = 0 + -6
-1x = 0 + -6

Combine like terms: 0 + -6 = -6
-1x = -6

Divide each side by '-1'.
x = 6

Simplifying
x = 6
Solution
x = {0, 6}