-3x(-x+2)=3x

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Solution for -3x(-x+2)=3x equation:


Simplifying
-3x(-1x + 2) = 3x

Reorder the terms:
-3x(2 + -1x) = 3x
(2 * -3x + -1x * -3x) = 3x
(-6x + 3x2) = 3x

Solving
-6x + 3x2 = 3x

Solving for variable 'x'.

Reorder the terms:
-6x + -3x + 3x2 = 3x + -3x

Combine like terms: -6x + -3x = -9x
-9x + 3x2 = 3x + -3x

Combine like terms: 3x + -3x = 0
-9x + 3x2 = 0

Factor out the Greatest Common Factor (GCF), '3x'.
3x(-3 + x) = 0

Ignore the factor 3.

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 '(-3 + x)' equal to zero and attempt to solve: Simplifying -3 + x = 0 Solving -3 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + x = 0 + 3 Combine like terms: -3 + 3 = 0 0 + x = 0 + 3 x = 0 + 3 Combine like terms: 0 + 3 = 3 x = 3 Simplifying x = 3

Solution

x = {0, 3}

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