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Simplifying 36 = -16x2 + 60x Reorder the terms: 36 = 60x + -16x2 Solving 36 = 60x + -16x2 Solving for variable 'x'. Reorder the terms: 36 + -60x + 16x2 = 60x + -60x + -16x2 + 16x2 Combine like terms: 60x + -60x = 0 36 + -60x + 16x2 = 0 + -16x2 + 16x2 36 + -60x + 16x2 = -16x2 + 16x2 Combine like terms: -16x2 + 16x2 = 0 36 + -60x + 16x2 = 0 Factor out the Greatest Common Factor (GCF), '4'. 4(9 + -15x + 4x2) = 0 Factor a trinomial. 4((3 + -4x)(3 + -1x)) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(3 + -4x)' equal to zero and attempt to solve: Simplifying 3 + -4x = 0 Solving 3 + -4x = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -4x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -4x = 0 + -3 -4x = 0 + -3 Combine like terms: 0 + -3 = -3 -4x = -3 Divide each side by '-4'. x = 0.75 Simplifying x = 0.75Subproblem 2
Set the factor '(3 + -1x)' equal to zero and attempt to solve: Simplifying 3 + -1x = 0 Solving 3 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -1x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1x = 0 + -3 -1x = 0 + -3 Combine like terms: 0 + -3 = -3 -1x = -3 Divide each side by '-1'. x = 3 Simplifying x = 3Solution
x = {0.75, 3}
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