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Simplifying (3x)(4x) = 12x Remove parenthesis around (3x) 3x(4x) = 12x Remove parenthesis around (4x) 3x * 4x = 12x Reorder the terms for easier multiplication: 3 * 4x * x = 12x Multiply 3 * 4 12x * x = 12x Multiply x * x 12x^{2}= 12x Solving 12x^{2}= 12x Solving for variable 'x'. Reorder the terms: -12x + 12x^{2}= 12x + -12x Combine like terms: 12x + -12x = 0 -12x + 12x^{2}= 0 Factor out the Greatest Common Factor (GCF), '12x'. 12x(-1 + x) = 0 Ignore the factor 12.## 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 + x)' equal to zero and attempt to solve: Simplifying -1 + x = 0 Solving -1 + x = 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 + x = 0 + 1 Combine like terms: -1 + 1 = 0 0 + x = 0 + 1 x = 0 + 1 Combine like terms: 0 + 1 = 1 x = 1 Simplifying x = 1## Solution

x = {0, 1}

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