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Simplifying (3x + 12)(3x + 12) = 0 Reorder the terms: (12 + 3x)(3x + 12) = 0 Reorder the terms: (12 + 3x)(12 + 3x) = 0 Multiply (12 + 3x) * (12 + 3x) (12(12 + 3x) + 3x * (12 + 3x)) = 0 ((12 * 12 + 3x * 12) + 3x * (12 + 3x)) = 0 ((144 + 36x) + 3x * (12 + 3x)) = 0 (144 + 36x + (12 * 3x + 3x * 3x)) = 0 (144 + 36x + (36x + 9x2)) = 0 Combine like terms: 36x + 36x = 72x (144 + 72x + 9x2) = 0 Solving 144 + 72x + 9x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '9'. 9(16 + 8x + x2) = 0 Factor a trinomial. 9((4 + x)(4 + x)) = 0 Ignore the factor 9.Subproblem 1
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 = -4Subproblem 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 = {-4, -4}
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