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Simplifying (x + 8)(x + 17) = 0 Reorder the terms: (8 + x)(x + 17) = 0 Reorder the terms: (8 + x)(17 + x) = 0 Multiply (8 + x) * (17 + x) (8(17 + x) + x(17 + x)) = 0 ((17 * 8 + x * 8) + x(17 + x)) = 0 ((136 + 8x) + x(17 + x)) = 0 (136 + 8x + (17 * x + x * x)) = 0 (136 + 8x + (17x + x2)) = 0 Combine like terms: 8x + 17x = 25x (136 + 25x + x2) = 0 Solving 136 + 25x + x2 = 0 Solving for variable 'x'. Factor a trinomial. (17 + x)(8 + x) = 0Subproblem 1
Set the factor '(17 + x)' equal to zero and attempt to solve: Simplifying 17 + x = 0 Solving 17 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-17' to each side of the equation. 17 + -17 + x = 0 + -17 Combine like terms: 17 + -17 = 0 0 + x = 0 + -17 x = 0 + -17 Combine like terms: 0 + -17 = -17 x = -17 Simplifying x = -17Subproblem 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 = {-17, -8}
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