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Simplifying 160 = (8x2 + -8x) Reorder the terms: 160 = (-8x + 8x2) Remove parenthesis around (-8x + 8x2) 160 = -8x + 8x2 Solving 160 = -8x + 8x2 Solving for variable 'x'. Reorder the terms: 160 + 8x + -8x2 = -8x + 8x + 8x2 + -8x2 Combine like terms: -8x + 8x = 0 160 + 8x + -8x2 = 0 + 8x2 + -8x2 160 + 8x + -8x2 = 8x2 + -8x2 Combine like terms: 8x2 + -8x2 = 0 160 + 8x + -8x2 = 0 Factor out the Greatest Common Factor (GCF), '8'. 8(20 + x + -1x2) = 0 Factor a trinomial. 8((5 + -1x)(4 + x)) = 0 Ignore the factor 8.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 '(4 + x)' equal to zero and attempt to solve: Simplifying 4 + x = 0 Solving 4 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + x = 0 + -4 x = 0 + -4 Combine like terms: 0 + -4 = -4 x = -4 Simplifying x = -4Solution
x = {5, -4}
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