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

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


Simplifying
x(x + 2) + -2(x + 2) * x = 0

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

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

Reorder the terms for easier multiplication:
2x + x2 + -2x(2 + x) = 0
2x + x2 + (2 * -2x + x * -2x) = 0
2x + x2 + (-4x + -2x2) = 0

Reorder the terms:
2x + -4x + x2 + -2x2 = 0

Combine like terms: 2x + -4x = -2x
-2x + x2 + -2x2 = 0

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

Solving
-2x + -1x2 = 0

Solving for variable 'x'.

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

Ignore the factor -1.

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}

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