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Simplifying 3(x2 + -2) = 12x + -6 Reorder the terms: 3(-2 + x2) = 12x + -6 (-2 * 3 + x2 * 3) = 12x + -6 (-6 + 3x2) = 12x + -6 Reorder the terms: -6 + 3x2 = -6 + 12x Add '6' to each side of the equation. -6 + 6 + 3x2 = -6 + 6 + 12x Combine like terms: -6 + 6 = 0 0 + 3x2 = -6 + 6 + 12x 3x2 = -6 + 6 + 12x Combine like terms: -6 + 6 = 0 3x2 = 0 + 12x 3x2 = 12x Solving 3x2 = 12x Solving for variable 'x'. Reorder the terms: -12x + 3x2 = 12x + -12x Combine like terms: 12x + -12x = 0 -12x + 3x2 = 0 Factor out the Greatest Common Factor (GCF), '3x'. 3x(-4 + 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 = 0Subproblem 2
Set the factor '(-4 + x)' equal to zero and attempt to solve: Simplifying -4 + x = 0 Solving -4 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + x = 0 + 4 Combine like terms: -4 + 4 = 0 0 + x = 0 + 4 x = 0 + 4 Combine like terms: 0 + 4 = 4 x = 4 Simplifying x = 4Solution
x = {0, 4}
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