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Simplifying (x + -10)(x + -17) = 0 Reorder the terms: (-10 + x)(x + -17) = 0 Reorder the terms: (-10 + x)(-17 + x) = 0 Multiply (-10 + x) * (-17 + x) (-10(-17 + x) + x(-17 + x)) = 0 ((-17 * -10 + x * -10) + x(-17 + x)) = 0 ((170 + -10x) + x(-17 + x)) = 0 (170 + -10x + (-17 * x + x * x)) = 0 (170 + -10x + (-17x + x2)) = 0 Combine like terms: -10x + -17x = -27x (170 + -27x + x2) = 0 Solving 170 + -27x + x2 = 0 Solving for variable 'x'. Factor a trinomial. (10 + -1x)(17 + -1x) = 0Subproblem 1
Set the factor '(10 + -1x)' equal to zero and attempt to solve: Simplifying 10 + -1x = 0 Solving 10 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + -1x = 0 + -10 Combine like terms: 10 + -10 = 0 0 + -1x = 0 + -10 -1x = 0 + -10 Combine like terms: 0 + -10 = -10 -1x = -10 Divide each side by '-1'. x = 10 Simplifying x = 10Subproblem 2
Set the factor '(17 + -1x)' equal to zero and attempt to solve: Simplifying 17 + -1x = 0 Solving 17 + -1x = 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 + -1x = 0 + -17 Combine like terms: 17 + -17 = 0 0 + -1x = 0 + -17 -1x = 0 + -17 Combine like terms: 0 + -17 = -17 -1x = -17 Divide each side by '-1'. x = 17 Simplifying x = 17Solution
x = {10, 17}
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