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Simplifying (x + 9)(x + 17) = 0 Reorder the terms: (9 + x)(x + 17) = 0 Reorder the terms: (9 + x)(17 + x) = 0 Multiply (9 + x) * (17 + x) (9(17 + x) + x(17 + x)) = 0 ((17 * 9 + x * 9) + x(17 + x)) = 0 ((153 + 9x) + x(17 + x)) = 0 (153 + 9x + (17 * x + x * x)) = 0 (153 + 9x + (17x + x2)) = 0 Combine like terms: 9x + 17x = 26x (153 + 26x + x2) = 0 Solving 153 + 26x + x2 = 0 Solving for variable 'x'. Factor a trinomial. (17 + x)(9 + 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 '(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 = -9Solution
x = {-17, -9}
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