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Simplifying X(2X + -4) = 160 Reorder the terms: X(-4 + 2X) = 160 (-4 * X + 2X * X) = 160 (-4X + 2X2) = 160 Solving -4X + 2X2 = 160 Solving for variable 'X'. Reorder the terms: -160 + -4X + 2X2 = 160 + -160 Combine like terms: 160 + -160 = 0 -160 + -4X + 2X2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-80 + -2X + X2) = 0 Factor a trinomial. 2((-8 + -1X)(10 + -1X)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-8 + -1X)' equal to zero and attempt to solve: Simplifying -8 + -1X = 0 Solving -8 + -1X = 0 Move all terms containing X to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + -1X = 0 + 8 Combine like terms: -8 + 8 = 0 0 + -1X = 0 + 8 -1X = 0 + 8 Combine like terms: 0 + 8 = 8 -1X = 8 Divide each side by '-1'. X = -8 Simplifying X = -8Subproblem 2
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 = 10Solution
X = {-8, 10}
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