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Simplifying (x + 4)(3x + 12) = 0 Reorder the terms: (4 + x)(3x + 12) = 0 Reorder the terms: (4 + x)(12 + 3x) = 0 Multiply (4 + x) * (12 + 3x) (4(12 + 3x) + x(12 + 3x)) = 0 ((12 * 4 + 3x * 4) + x(12 + 3x)) = 0 ((48 + 12x) + x(12 + 3x)) = 0 (48 + 12x + (12 * x + 3x * x)) = 0 (48 + 12x + (12x + 3x2)) = 0 Combine like terms: 12x + 12x = 24x (48 + 24x + 3x2) = 0 Solving 48 + 24x + 3x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '3'. 3(16 + 8x + x2) = 0 Factor a trinomial. 3((4 + x)(4 + x)) = 0 Ignore the factor 3.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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