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Simplifying 80x + -5x2 = 140 Solving 80x + -5x2 = 140 Solving for variable 'x'. Reorder the terms: -140 + 80x + -5x2 = 140 + -140 Combine like terms: 140 + -140 = 0 -140 + 80x + -5x2 = 0 Factor out the Greatest Common Factor (GCF), '5'. 5(-28 + 16x + -1x2) = 0 Factor a trinomial. 5((-14 + x)(2 + -1x)) = 0 Ignore the factor 5.Subproblem 1
Set the factor '(-14 + x)' equal to zero and attempt to solve: Simplifying -14 + x = 0 Solving -14 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '14' to each side of the equation. -14 + 14 + x = 0 + 14 Combine like terms: -14 + 14 = 0 0 + x = 0 + 14 x = 0 + 14 Combine like terms: 0 + 14 = 14 x = 14 Simplifying x = 14Subproblem 2
Set the factor '(2 + -1x)' equal to zero and attempt to solve: Simplifying 2 + -1x = 0 Solving 2 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -1x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1x = 0 + -2 -1x = 0 + -2 Combine like terms: 0 + -2 = -2 -1x = -2 Divide each side by '-1'. x = 2 Simplifying x = 2Solution
x = {14, 2}
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