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Simplifying (x + -7)(x + -17) = 0 Reorder the terms: (-7 + x)(x + -17) = 0 Reorder the terms: (-7 + x)(-17 + x) = 0 Multiply (-7 + x) * (-17 + x) (-7(-17 + x) + x(-17 + x)) = 0 ((-17 * -7 + x * -7) + x(-17 + x)) = 0 ((119 + -7x) + x(-17 + x)) = 0 (119 + -7x + (-17 * x + x * x)) = 0 (119 + -7x + (-17x + x2)) = 0 Combine like terms: -7x + -17x = -24x (119 + -24x + x2) = 0 Solving 119 + -24x + x2 = 0 Solving for variable 'x'. Factor a trinomial. (7 + -1x)(17 + -1x) = 0Subproblem 1
Set the factor '(7 + -1x)' equal to zero and attempt to solve: Simplifying 7 + -1x = 0 Solving 7 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -1x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -1x = 0 + -7 -1x = 0 + -7 Combine like terms: 0 + -7 = -7 -1x = -7 Divide each side by '-1'. x = 7 Simplifying x = 7Subproblem 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 = {7, 17}
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