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Simplifying (x + -8)(x) = 240 Reorder the terms: (-8 + x)(x) = 240 Reorder the terms for easier multiplication: x(-8 + x) = 240 (-8 * x + x * x) = 240 (-8x + x2) = 240 Solving -8x + x2 = 240 Solving for variable 'x'. Reorder the terms: -240 + -8x + x2 = 240 + -240 Combine like terms: 240 + -240 = 0 -240 + -8x + x2 = 0 Factor a trinomial. (-12 + -1x)(20 + -1x) = 0Subproblem 1
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 = -12Subproblem 2
Set the factor '(20 + -1x)' equal to zero and attempt to solve: Simplifying 20 + -1x = 0 Solving 20 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-20' to each side of the equation. 20 + -20 + -1x = 0 + -20 Combine like terms: 20 + -20 = 0 0 + -1x = 0 + -20 -1x = 0 + -20 Combine like terms: 0 + -20 = -20 -1x = -20 Divide each side by '-1'. x = 20 Simplifying x = 20Solution
x = {-12, 20}
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