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Simplifying (x + 8)(x + 12) = 0 Reorder the terms: (8 + x)(x + 12) = 0 Reorder the terms: (8 + x)(12 + x) = 0 Multiply (8 + x) * (12 + x) (8(12 + x) + x(12 + x)) = 0 ((12 * 8 + x * 8) + x(12 + x)) = 0 ((96 + 8x) + x(12 + x)) = 0 (96 + 8x + (12 * x + x * x)) = 0 (96 + 8x + (12x + x2)) = 0 Combine like terms: 8x + 12x = 20x (96 + 20x + x2) = 0 Solving 96 + 20x + x2 = 0 Solving for variable 'x'. Factor a trinomial. (12 + x)(8 + x) = 0Subproblem 1
Set the factor '(12 + x)' equal to zero and attempt to solve: Simplifying 12 + x = 0 Solving 12 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + x = 0 + -12 Combine like terms: 12 + -12 = 0 0 + x = 0 + -12 x = 0 + -12 Combine like terms: 0 + -12 = -12 x = -12 Simplifying x = -12Subproblem 2
Set the factor '(8 + x)' equal to zero and attempt to solve: Simplifying 8 + x = 0 Solving 8 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + x = 0 + -8 x = 0 + -8 Combine like terms: 0 + -8 = -8 x = -8 Simplifying x = -8Solution
x = {-12, -8}
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