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Simplifying (3x + -3)(x) = (2x)(x + 6) Reorder the terms: (-3 + 3x)(x) = (2x)(x + 6) Reorder the terms for easier multiplication: x(-3 + 3x) = (2x)(x + 6) (-3 * x + 3x * x) = (2x)(x + 6) (-3x + 3x2) = (2x)(x + 6) Remove parenthesis around (2x) -3x + 3x2 = 2x(x + 6) Reorder the terms: -3x + 3x2 = 2x(6 + x) -3x + 3x2 = (6 * 2x + x * 2x) -3x + 3x2 = (12x + 2x2) Solving -3x + 3x2 = 12x + 2x2 Solving for variable 'x'. Reorder the terms: -3x + -12x + 3x2 + -2x2 = 12x + 2x2 + -12x + -2x2 Combine like terms: -3x + -12x = -15x -15x + 3x2 + -2x2 = 12x + 2x2 + -12x + -2x2 Combine like terms: 3x2 + -2x2 = 1x2 -15x + 1x2 = 12x + 2x2 + -12x + -2x2 Reorder the terms: -15x + 1x2 = 12x + -12x + 2x2 + -2x2 Combine like terms: 12x + -12x = 0 -15x + 1x2 = 0 + 2x2 + -2x2 -15x + 1x2 = 2x2 + -2x2 Combine like terms: 2x2 + -2x2 = 0 -15x + 1x2 = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(-15 + x) = 0Subproblem 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 = 0Subproblem 2
Set the factor '(-15 + x)' equal to zero and attempt to solve: Simplifying -15 + x = 0 Solving -15 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '15' to each side of the equation. -15 + 15 + x = 0 + 15 Combine like terms: -15 + 15 = 0 0 + x = 0 + 15 x = 0 + 15 Combine like terms: 0 + 15 = 15 x = 15 Simplifying x = 15Solution
x = {0, 15}
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