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Simplifying 624 = -16x2 + 220x Reorder the terms: 624 = 220x + -16x2 Solving 624 = 220x + -16x2 Solving for variable 'x'. Reorder the terms: 624 + -220x + 16x2 = 220x + -220x + -16x2 + 16x2 Combine like terms: 220x + -220x = 0 624 + -220x + 16x2 = 0 + -16x2 + 16x2 624 + -220x + 16x2 = -16x2 + 16x2 Combine like terms: -16x2 + 16x2 = 0 624 + -220x + 16x2 = 0 Factor out the Greatest Common Factor (GCF), '4'. 4(156 + -55x + 4x2) = 0 Factor a trinomial. 4((4 + -1x)(39 + -4x)) = 0 Ignore the factor 4.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 '(39 + -4x)' equal to zero and attempt to solve: Simplifying 39 + -4x = 0 Solving 39 + -4x = 0 Move all terms containing x to the left, all other terms to the right. Add '-39' to each side of the equation. 39 + -39 + -4x = 0 + -39 Combine like terms: 39 + -39 = 0 0 + -4x = 0 + -39 -4x = 0 + -39 Combine like terms: 0 + -39 = -39 -4x = -39 Divide each side by '-4'. x = 9.75 Simplifying x = 9.75Solution
x = {4, 9.75}
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