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Simplifying (x + 7)(x + 10) = -2 Reorder the terms: (7 + x)(x + 10) = -2 Reorder the terms: (7 + x)(10 + x) = -2 Multiply (7 + x) * (10 + x) (7(10 + x) + x(10 + x)) = -2 ((10 * 7 + x * 7) + x(10 + x)) = -2 ((70 + 7x) + x(10 + x)) = -2 (70 + 7x + (10 * x + x * x)) = -2 (70 + 7x + (10x + x2)) = -2 Combine like terms: 7x + 10x = 17x (70 + 17x + x2) = -2 Solving 70 + 17x + x2 = -2 Solving for variable 'x'. Reorder the terms: 70 + 2 + 17x + x2 = -2 + 2 Combine like terms: 70 + 2 = 72 72 + 17x + x2 = -2 + 2 Combine like terms: -2 + 2 = 0 72 + 17x + x2 = 0 Factor a trinomial. (9 + x)(8 + x) = 0Subproblem 1
Set the factor '(9 + x)' equal to zero and attempt to solve: Simplifying 9 + x = 0 Solving 9 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + x = 0 + -9 x = 0 + -9 Combine like terms: 0 + -9 = -9 x = -9 Simplifying x = -9Subproblem 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 = {-9, -8}
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