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Simplifying -16x2 + 128x = 240 Reorder the terms: 128x + -16x2 = 240 Solving 128x + -16x2 = 240 Solving for variable 'x'. Reorder the terms: -240 + 128x + -16x2 = 240 + -240 Combine like terms: 240 + -240 = 0 -240 + 128x + -16x2 = 0 Factor out the Greatest Common Factor (GCF), '16'. 16(-15 + 8x + -1x2) = 0 Factor a trinomial. 16((-5 + x)(3 + -1x)) = 0 Ignore the factor 16.Subproblem 1
Set the factor '(-5 + x)' equal to zero and attempt to solve: Simplifying -5 + x = 0 Solving -5 + x = 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 + x = 0 + 5 Combine like terms: -5 + 5 = 0 0 + x = 0 + 5 x = 0 + 5 Combine like terms: 0 + 5 = 5 x = 5 Simplifying x = 5Subproblem 2
Set the factor '(3 + -1x)' equal to zero and attempt to solve: Simplifying 3 + -1x = 0 Solving 3 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -1x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1x = 0 + -3 -1x = 0 + -3 Combine like terms: 0 + -3 = -3 -1x = -3 Divide each side by '-1'. x = 3 Simplifying x = 3Solution
x = {5, 3}
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