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Simplifying -5x2 + 80x + -280 = 35 Reorder the terms: -280 + 80x + -5x2 = 35 Solving -280 + 80x + -5x2 = 35 Solving for variable 'x'. Reorder the terms: -280 + -35 + 80x + -5x2 = 35 + -35 Combine like terms: -280 + -35 = -315 -315 + 80x + -5x2 = 35 + -35 Combine like terms: 35 + -35 = 0 -315 + 80x + -5x2 = 0 Factor out the Greatest Common Factor (GCF), '5'. 5(-63 + 16x + -1x2) = 0 Factor a trinomial. 5((-9 + x)(7 + -1x)) = 0 Ignore the factor 5.Subproblem 1
Set the factor '(-9 + x)' equal to zero and attempt to solve: Simplifying -9 + x = 0 Solving -9 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + x = 0 + 9 Combine like terms: -9 + 9 = 0 0 + x = 0 + 9 x = 0 + 9 Combine like terms: 0 + 9 = 9 x = 9 Simplifying x = 9Subproblem 2
Set the factor '(7 + -1x)' equal to zero and attempt to solve: Simplifying 7 + -1x = 0 Solving 7 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -1x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -1x = 0 + -7 -1x = 0 + -7 Combine like terms: 0 + -7 = -7 -1x = -7 Divide each side by '-1'. x = 7 Simplifying x = 7Solution
x = {9, 7}
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