(3x-3)*x=(2x)*x

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


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

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

Reorder the terms for easier multiplication:
x(-3 + 3x) = (2x) * x
(-3 * x + 3x * x) = (2x) * x
(-3x + 3x2) = (2x) * x

Remove parenthesis around (2x)
-3x + 3x2 = 2x * x

Multiply x * x
-3x + 3x2 = 2x2

Solving
-3x + 3x2 = 2x2

Solving for variable 'x'.

Combine like terms: 3x2 + -2x2 = 1x2
-3x + 1x2 = 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
-3x + 1x2 = 0

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