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Simplifying (2x + -4) * x = 240 Reorder the terms: (-4 + 2x) * x = 240 Reorder the terms for easier multiplication: x(-4 + 2x) = 240 (-4 * x + 2x * x) = 240 (-4x + 2x2) = 240 Solving -4x + 2x2 = 240 Solving for variable 'x'. Reorder the terms: -240 + -4x + 2x2 = 240 + -240 Combine like terms: 240 + -240 = 0 -240 + -4x + 2x2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-120 + -2x + x2) = 0 Factor a trinomial. 2((-10 + -1x)(12 + -1x)) = 0 Ignore the factor 2.Subproblem 1
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 = -10Subproblem 2
Set the factor '(12 + -1x)' equal to zero and attempt to solve: Simplifying 12 + -1x = 0 Solving 12 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + -1x = 0 + -12 Combine like terms: 12 + -12 = 0 0 + -1x = 0 + -12 -1x = 0 + -12 Combine like terms: 0 + -12 = -12 -1x = -12 Divide each side by '-1'. x = 12 Simplifying x = 12Solution
x = {-10, 12}
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