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Simplifying -2(x + -9)(x + -5) = 0 Reorder the terms: -2(-9 + x)(x + -5) = 0 Reorder the terms: -2(-9 + x)(-5 + x) = 0 Multiply (-9 + x) * (-5 + x) -2(-9(-5 + x) + x(-5 + x)) = 0 -2((-5 * -9 + x * -9) + x(-5 + x)) = 0 -2((45 + -9x) + x(-5 + x)) = 0 -2(45 + -9x + (-5 * x + x * x)) = 0 -2(45 + -9x + (-5x + x2)) = 0 Combine like terms: -9x + -5x = -14x -2(45 + -14x + x2) = 0 (45 * -2 + -14x * -2 + x2 * -2) = 0 (-90 + 28x + -2x2) = 0 Solving -90 + 28x + -2x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2'. 2(-45 + 14x + -1x2) = 0 Factor a trinomial. 2((-9 + x)(5 + -1x)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-9 + x)' equal to zero and attempt to solve: Simplifying -9 + x = 0 Solving -9 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + x = 0 + 9 Combine like terms: -9 + 9 = 0 0 + x = 0 + 9 x = 0 + 9 Combine like terms: 0 + 9 = 9 x = 9 Simplifying x = 9Subproblem 2
Set the factor '(5 + -1x)' equal to zero and attempt to solve: Simplifying 5 + -1x = 0 Solving 5 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -1x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1x = 0 + -5 -1x = 0 + -5 Combine like terms: 0 + -5 = -5 -1x = -5 Divide each side by '-1'. x = 5 Simplifying x = 5Solution
x = {9, 5}
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