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Simplifying 960 = -16x2 + 272x Reorder the terms: 960 = 272x + -16x2 Solving 960 = 272x + -16x2 Solving for variable 'x'. Reorder the terms: 960 + -272x + 16x2 = 272x + -272x + -16x2 + 16x2 Combine like terms: 272x + -272x = 0 960 + -272x + 16x2 = 0 + -16x2 + 16x2 960 + -272x + 16x2 = -16x2 + 16x2 Combine like terms: -16x2 + 16x2 = 0 960 + -272x + 16x2 = 0 Factor out the Greatest Common Factor (GCF), '16'. 16(60 + -17x + x2) = 0 Factor a trinomial. 16((5 + -1x)(12 + -1x)) = 0 Ignore the factor 16.Subproblem 1
Set the factor '(5 + -1x)' equal to zero and attempt to solve: Simplifying 5 + -1x = 0 Solving 5 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -1x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1x = 0 + -5 -1x = 0 + -5 Combine like terms: 0 + -5 = -5 -1x = -5 Divide each side by '-1'. x = 5 Simplifying x = 5Subproblem 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 = {5, 12}
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