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Simplifying -3(x + 2) * 4x = 12 Reorder the terms: -3(2 + x) * 4x = 12 Reorder the terms for easier multiplication: -3 * 4x(2 + x) = 12 Multiply -3 * 4 -12x(2 + x) = 12 (2 * -12x + x * -12x) = 12 (-24x + -12x2) = 12 Solving -24x + -12x2 = 12 Solving for variable 'x'. Reorder the terms: -12 + -24x + -12x2 = 12 + -12 Combine like terms: 12 + -12 = 0 -12 + -24x + -12x2 = 0 Factor out the Greatest Common Factor (GCF), '-12'. -12(1 + 2x + x2) = 0 Factor a trinomial. -12((1 + x)(1 + x)) = 0 Ignore the factor -12.Subproblem 1
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 = -1Subproblem 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 = -1Solution
x = {-1, -1}
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