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Simplifying (2x + 12)(2x + 8) = 0 Reorder the terms: (12 + 2x)(2x + 8) = 0 Reorder the terms: (12 + 2x)(8 + 2x) = 0 Multiply (12 + 2x) * (8 + 2x) (12(8 + 2x) + 2x * (8 + 2x)) = 0 ((8 * 12 + 2x * 12) + 2x * (8 + 2x)) = 0 ((96 + 24x) + 2x * (8 + 2x)) = 0 (96 + 24x + (8 * 2x + 2x * 2x)) = 0 (96 + 24x + (16x + 4x2)) = 0 Combine like terms: 24x + 16x = 40x (96 + 40x + 4x2) = 0 Solving 96 + 40x + 4x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '4'. 4(24 + 10x + x2) = 0 Factor a trinomial. 4((6 + x)(4 + x)) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(6 + x)' equal to zero and attempt to solve: Simplifying 6 + x = 0 Solving 6 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + x = 0 + -6 Combine like terms: 6 + -6 = 0 0 + x = 0 + -6 x = 0 + -6 Combine like terms: 0 + -6 = -6 x = -6 Simplifying x = -6Subproblem 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 = {-6, -4}
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