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Simplifying (x + 2)(x + -17) = 0 Reorder the terms: (2 + x)(x + -17) = 0 Reorder the terms: (2 + x)(-17 + x) = 0 Multiply (2 + x) * (-17 + x) (2(-17 + x) + x(-17 + x)) = 0 ((-17 * 2 + x * 2) + x(-17 + x)) = 0 ((-34 + 2x) + x(-17 + x)) = 0 (-34 + 2x + (-17 * x + x * x)) = 0 (-34 + 2x + (-17x + x2)) = 0 Combine like terms: 2x + -17x = -15x (-34 + -15x + x2) = 0 Solving -34 + -15x + x2 = 0 Solving for variable 'x'. Factor a trinomial. (-2 + -1x)(17 + -1x) = 0Subproblem 1
Set the factor '(-2 + -1x)' equal to zero and attempt to solve: Simplifying -2 + -1x = 0 Solving -2 + -1x = 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 + -1x = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -1x = 0 + 2 -1x = 0 + 2 Combine like terms: 0 + 2 = 2 -1x = 2 Divide each side by '-1'. x = -2 Simplifying x = -2Subproblem 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 = {-2, 17}
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