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Simplifying (x + 8)(x + 1) = -12 Reorder the terms: (8 + x)(x + 1) = -12 Reorder the terms: (8 + x)(1 + x) = -12 Multiply (8 + x) * (1 + x) (8(1 + x) + x(1 + x)) = -12 ((1 * 8 + x * 8) + x(1 + x)) = -12 ((8 + 8x) + x(1 + x)) = -12 (8 + 8x + (1 * x + x * x)) = -12 (8 + 8x + (1x + x2)) = -12 Combine like terms: 8x + 1x = 9x (8 + 9x + x2) = -12 Solving 8 + 9x + x2 = -12 Solving for variable 'x'. Reorder the terms: 8 + 12 + 9x + x2 = -12 + 12 Combine like terms: 8 + 12 = 20 20 + 9x + x2 = -12 + 12 Combine like terms: -12 + 12 = 0 20 + 9x + x2 = 0 Factor a trinomial. (5 + x)(4 + x) = 0Subproblem 1
Set the factor '(5 + x)' equal to zero and attempt to solve: Simplifying 5 + x = 0 Solving 5 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + x = 0 + -5 x = 0 + -5 Combine like terms: 0 + -5 = -5 x = -5 Simplifying x = -5Subproblem 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 = {-5, -4}
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