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Simplifying (x + -9)(x + 17) = -165 Reorder the terms: (-9 + x)(x + 17) = -165 Reorder the terms: (-9 + x)(17 + x) = -165 Multiply (-9 + x) * (17 + x) (-9(17 + x) + x(17 + x)) = -165 ((17 * -9 + x * -9) + x(17 + x)) = -165 ((-153 + -9x) + x(17 + x)) = -165 (-153 + -9x + (17 * x + x * x)) = -165 (-153 + -9x + (17x + x2)) = -165 Combine like terms: -9x + 17x = 8x (-153 + 8x + x2) = -165 Solving -153 + 8x + x2 = -165 Solving for variable 'x'. Reorder the terms: -153 + 165 + 8x + x2 = -165 + 165 Combine like terms: -153 + 165 = 12 12 + 8x + x2 = -165 + 165 Combine like terms: -165 + 165 = 0 12 + 8x + x2 = 0 Factor a trinomial. (6 + x)(2 + x) = 0Subproblem 1
Set the factor '(6 + x)' equal to zero and attempt to solve: Simplifying 6 + x = 0 Solving 6 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + x = 0 + -6 Combine like terms: 6 + -6 = 0 0 + x = 0 + -6 x = 0 + -6 Combine like terms: 0 + -6 = -6 x = -6 Simplifying x = -6Subproblem 2
Set the factor '(2 + x)' equal to zero and attempt to solve: Simplifying 2 + x = 0 Solving 2 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + x = 0 + -2 x = 0 + -2 Combine like terms: 0 + -2 = -2 x = -2 Simplifying x = -2Solution
x = {-6, -2}
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