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Simplifying 20x2 = -80 + 116x Solving 20x2 = -80 + 116x Solving for variable 'x'. Reorder the terms: 80 + -116x + 20x2 = -80 + 116x + 80 + -116x Reorder the terms: 80 + -116x + 20x2 = -80 + 80 + 116x + -116x Combine like terms: -80 + 80 = 0 80 + -116x + 20x2 = 0 + 116x + -116x 80 + -116x + 20x2 = 116x + -116x Combine like terms: 116x + -116x = 0 80 + -116x + 20x2 = 0 Factor out the Greatest Common Factor (GCF), '4'. 4(20 + -29x + 5x2) = 0 Factor a trinomial. 4((4 + -5x)(5 + -1x)) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(4 + -5x)' equal to zero and attempt to solve: Simplifying 4 + -5x = 0 Solving 4 + -5x = 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 + -5x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -5x = 0 + -4 -5x = 0 + -4 Combine like terms: 0 + -4 = -4 -5x = -4 Divide each side by '-5'. x = 0.8 Simplifying x = 0.8Subproblem 2
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 = 5Solution
x = {0.8, 5}
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