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Simplifying (2x + 8)(3x + 12) = 0 Reorder the terms: (8 + 2x)(3x + 12) = 0 Reorder the terms: (8 + 2x)(12 + 3x) = 0 Multiply (8 + 2x) * (12 + 3x) (8(12 + 3x) + 2x * (12 + 3x)) = 0 ((12 * 8 + 3x * 8) + 2x * (12 + 3x)) = 0 ((96 + 24x) + 2x * (12 + 3x)) = 0 (96 + 24x + (12 * 2x + 3x * 2x)) = 0 (96 + 24x + (24x + 6x2)) = 0 Combine like terms: 24x + 24x = 48x (96 + 48x + 6x2) = 0 Solving 96 + 48x + 6x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '6'. 6(16 + 8x + x2) = 0 Factor a trinomial. 6((4 + x)(4 + x)) = 0 Ignore the factor 6.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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