2x(-2x)=-4x

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Solution for 2x(-2x)=-4x equation:


Simplifying
2x(-2x) = -4x

Remove parenthesis around (-2x)
2x * -2x = -4x

Reorder the terms for easier multiplication:
2 * -2x * x = -4x

Multiply 2 * -2
-4x * x = -4x

Multiply x * x
-4x2 = -4x

Solving
-4x2 = -4x

Solving for variable 'x'.

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

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

Factor out the Greatest Common Factor (GCF), '4x'.
4x(1 + -1x) = 0

Ignore the factor 4.

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 '(1 + -1x)' equal to zero and attempt to solve: Simplifying 1 + -1x = 0 Solving 1 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -1x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1x = 0 + -1 -1x = 0 + -1 Combine like terms: 0 + -1 = -1 -1x = -1 Divide each side by '-1'. x = 1 Simplifying x = 1

Solution

x = {0, 1}

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