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Simplifying (2x + -1)(x) = 120 Reorder the terms: (-1 + 2x)(x) = 120 Reorder the terms for easier multiplication: x(-1 + 2x) = 120 (-1 * x + 2x * x) = 120 (-1x + 2x2) = 120 Solving -1x + 2x2 = 120 Solving for variable 'x'. Reorder the terms: -120 + -1x + 2x2 = 120 + -120 Combine like terms: 120 + -120 = 0 -120 + -1x + 2x2 = 0 Factor a trinomial. (-15 + -2x)(8 + -1x) = 0Subproblem 1
Set the factor '(-15 + -2x)' equal to zero and attempt to solve: Simplifying -15 + -2x = 0 Solving -15 + -2x = 0 Move all terms containing x to the left, all other terms to the right. Add '15' to each side of the equation. -15 + 15 + -2x = 0 + 15 Combine like terms: -15 + 15 = 0 0 + -2x = 0 + 15 -2x = 0 + 15 Combine like terms: 0 + 15 = 15 -2x = 15 Divide each side by '-2'. x = -7.5 Simplifying x = -7.5Subproblem 2
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 = 8Solution
x = {-7.5, 8}
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