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Simplifying (x + 8)(x + 2) = -9 Reorder the terms: (8 + x)(x + 2) = -9 Reorder the terms: (8 + x)(2 + x) = -9 Multiply (8 + x) * (2 + x) (8(2 + x) + x(2 + x)) = -9 ((2 * 8 + x * 8) + x(2 + x)) = -9 ((16 + 8x) + x(2 + x)) = -9 (16 + 8x + (2 * x + x * x)) = -9 (16 + 8x + (2x + x2)) = -9 Combine like terms: 8x + 2x = 10x (16 + 10x + x2) = -9 Solving 16 + 10x + x2 = -9 Solving for variable 'x'. Reorder the terms: 16 + 9 + 10x + x2 = -9 + 9 Combine like terms: 16 + 9 = 25 25 + 10x + x2 = -9 + 9 Combine like terms: -9 + 9 = 0 25 + 10x + x2 = 0 Factor a trinomial. (5 + x)(5 + 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 '(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 = -5Solution
x = {-5, -5}
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