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Simplifying 5x2 = 160 + -20x Solving 5x2 = 160 + -20x Solving for variable 'x'. Reorder the terms: -160 + 20x + 5x2 = 160 + -20x + -160 + 20x Reorder the terms: -160 + 20x + 5x2 = 160 + -160 + -20x + 20x Combine like terms: 160 + -160 = 0 -160 + 20x + 5x2 = 0 + -20x + 20x -160 + 20x + 5x2 = -20x + 20x Combine like terms: -20x + 20x = 0 -160 + 20x + 5x2 = 0 Factor out the Greatest Common Factor (GCF), '5'. 5(-32 + 4x + x2) = 0 Factor a trinomial. 5((-8 + -1x)(4 + -1x)) = 0 Ignore the factor 5.Subproblem 1
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 = -8Subproblem 2
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 = 4Solution
x = {-8, 4}
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