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Simplifying 160 = -32x + 2x2 Solving 160 = -32x + 2x2 Solving for variable 'x'. Reorder the terms: 160 + 32x + -2x2 = -32x + 32x + 2x2 + -2x2 Combine like terms: -32x + 32x = 0 160 + 32x + -2x2 = 0 + 2x2 + -2x2 160 + 32x + -2x2 = 2x2 + -2x2 Combine like terms: 2x2 + -2x2 = 0 160 + 32x + -2x2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(80 + 16x + -1x2) = 0 Factor a trinomial. 2((20 + -1x)(4 + x)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(20 + -1x)' equal to zero and attempt to solve: Simplifying 20 + -1x = 0 Solving 20 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-20' to each side of the equation. 20 + -20 + -1x = 0 + -20 Combine like terms: 20 + -20 = 0 0 + -1x = 0 + -20 -1x = 0 + -20 Combine like terms: 0 + -20 = -20 -1x = -20 Divide each side by '-1'. x = 20 Simplifying x = 20Subproblem 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 = {20, -4}
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