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Simplifying 5x2 = -160 + 60x Solving 5x2 = -160 + 60x Solving for variable 'x'. Reorder the terms: 160 + -60x + 5x2 = -160 + 60x + 160 + -60x Reorder the terms: 160 + -60x + 5x2 = -160 + 160 + 60x + -60x Combine like terms: -160 + 160 = 0 160 + -60x + 5x2 = 0 + 60x + -60x 160 + -60x + 5x2 = 60x + -60x Combine like terms: 60x + -60x = 0 160 + -60x + 5x2 = 0 Factor out the Greatest Common Factor (GCF), '5'. 5(32 + -12x + x2) = 0 Factor a trinomial. 5((4 + -1x)(8 + -1x)) = 0 Ignore the factor 5.Subproblem 1
Set the factor '(4 + -1x)' equal to zero and attempt to solve: Simplifying 4 + -1x = 0 Solving 4 + -1x = 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 + -1x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1x = 0 + -4 -1x = 0 + -4 Combine like terms: 0 + -4 = -4 -1x = -4 Divide each side by '-1'. x = 4 Simplifying x = 4Subproblem 2
Set the factor '(8 + -1x)' equal to zero and attempt to solve: Simplifying 8 + -1x = 0 Solving 8 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -1x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -1x = 0 + -8 -1x = 0 + -8 Combine like terms: 0 + -8 = -8 -1x = -8 Divide each side by '-1'. x = 8 Simplifying x = 8Solution
x = {4, 8}
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