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Simplifying 928 = -2x2 + 120x + -800 Reorder the terms: 928 = -800 + 120x + -2x2 Solving 928 = -800 + 120x + -2x2 Solving for variable 'x'. Combine like terms: 928 + 800 = 1728 1728 + -120x + 2x2 = -800 + 120x + -2x2 + 800 + -120x + 2x2 Reorder the terms: 1728 + -120x + 2x2 = -800 + 800 + 120x + -120x + -2x2 + 2x2 Combine like terms: -800 + 800 = 0 1728 + -120x + 2x2 = 0 + 120x + -120x + -2x2 + 2x2 1728 + -120x + 2x2 = 120x + -120x + -2x2 + 2x2 Combine like terms: 120x + -120x = 0 1728 + -120x + 2x2 = 0 + -2x2 + 2x2 1728 + -120x + 2x2 = -2x2 + 2x2 Combine like terms: -2x2 + 2x2 = 0 1728 + -120x + 2x2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(864 + -60x + x2) = 0 Factor a trinomial. 2((24 + -1x)(36 + -1x)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(24 + -1x)' equal to zero and attempt to solve: Simplifying 24 + -1x = 0 Solving 24 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-24' to each side of the equation. 24 + -24 + -1x = 0 + -24 Combine like terms: 24 + -24 = 0 0 + -1x = 0 + -24 -1x = 0 + -24 Combine like terms: 0 + -24 = -24 -1x = -24 Divide each side by '-1'. x = 24 Simplifying x = 24Subproblem 2
Set the factor '(36 + -1x)' equal to zero and attempt to solve: Simplifying 36 + -1x = 0 Solving 36 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-36' to each side of the equation. 36 + -36 + -1x = 0 + -36 Combine like terms: 36 + -36 = 0 0 + -1x = 0 + -36 -1x = 0 + -36 Combine like terms: 0 + -36 = -36 -1x = -36 Divide each side by '-1'. x = 36 Simplifying x = 36Solution
x = {24, 36}
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