-x^2-2x=-2x^2

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

Simplifying
-1x2 + -2x = -2x2

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

Solving
-2x + -1x2 = -2x2

Solving for variable 'x'.

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

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

Factor out the Greatest Common Factor (GCF), 'x'.
x(-2 + x) = 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 + x)' equal to zero and attempt to solve:

Simplifying
-2 + x = 0

Solving
-2 + x = 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 + x = 0 + 2

Combine like terms: -2 + 2 = 0
0 + x = 0 + 2
x = 0 + 2

Combine like terms: 0 + 2 = 2
x = 2

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