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Simplifying (x + -4)(x + 17) = 0 Reorder the terms: (-4 + x)(x + 17) = 0 Reorder the terms: (-4 + x)(17 + x) = 0 Multiply (-4 + x) * (17 + x) (-4(17 + x) + x(17 + x)) = 0 ((17 * -4 + x * -4) + x(17 + x)) = 0 ((-68 + -4x) + x(17 + x)) = 0 (-68 + -4x + (17 * x + x * x)) = 0 (-68 + -4x + (17x + x2)) = 0 Combine like terms: -4x + 17x = 13x (-68 + 13x + x2) = 0 Solving -68 + 13x + x2 = 0 Solving for variable 'x'. Factor a trinomial. (-17 + -1x)(4 + -1x) = 0Subproblem 1
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 = -17Subproblem 2
Set the factor '(4 + -1x)' equal to zero and attempt to solve: Simplifying 4 + -1x = 0 Solving 4 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -1x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1x = 0 + -4 -1x = 0 + -4 Combine like terms: 0 + -4 = -4 -1x = -4 Divide each side by '-1'. x = 4 Simplifying x = 4Solution
x = {-17, 4}
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