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Simplifying (x + 2)(x + 8) = -5 Reorder the terms: (2 + x)(x + 8) = -5 Reorder the terms: (2 + x)(8 + x) = -5 Multiply (2 + x) * (8 + x) (2(8 + x) + x(8 + x)) = -5 ((8 * 2 + x * 2) + x(8 + x)) = -5 ((16 + 2x) + x(8 + x)) = -5 (16 + 2x + (8 * x + x * x)) = -5 (16 + 2x + (8x + x2)) = -5 Combine like terms: 2x + 8x = 10x (16 + 10x + x2) = -5 Solving 16 + 10x + x2 = -5 Solving for variable 'x'. Reorder the terms: 16 + 5 + 10x + x2 = -5 + 5 Combine like terms: 16 + 5 = 21 21 + 10x + x2 = -5 + 5 Combine like terms: -5 + 5 = 0 21 + 10x + x2 = 0 Factor a trinomial. (7 + x)(3 + x) = 0Subproblem 1
Set the factor '(7 + x)' equal to zero and attempt to solve: Simplifying 7 + x = 0 Solving 7 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + x = 0 + -7 x = 0 + -7 Combine like terms: 0 + -7 = -7 x = -7 Simplifying x = -7Subproblem 2
Set the factor '(3 + x)' equal to zero and attempt to solve: Simplifying 3 + x = 0 Solving 3 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + x = 0 + -3 x = 0 + -3 Combine like terms: 0 + -3 = -3 x = -3 Simplifying x = -3Solution
x = {-7, -3}
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