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Simplifying -16x2 + 60x = 56 Reorder the terms: 60x + -16x2 = 56 Solving 60x + -16x2 = 56 Solving for variable 'x'. Reorder the terms: -56 + 60x + -16x2 = 56 + -56 Combine like terms: 56 + -56 = 0 -56 + 60x + -16x2 = 0 Factor out the Greatest Common Factor (GCF), '4'. 4(-14 + 15x + -4x2) = 0 Factor a trinomial. 4((-2 + x)(7 + -4x)) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(-2 + x)' equal to zero and attempt to solve: Simplifying -2 + x = 0 Solving -2 + x = 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 + x = 0 + 2 Combine like terms: -2 + 2 = 0 0 + x = 0 + 2 x = 0 + 2 Combine like terms: 0 + 2 = 2 x = 2 Simplifying x = 2Subproblem 2
Set the factor '(7 + -4x)' equal to zero and attempt to solve: Simplifying 7 + -4x = 0 Solving 7 + -4x = 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 + -4x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -4x = 0 + -7 -4x = 0 + -7 Combine like terms: 0 + -7 = -7 -4x = -7 Divide each side by '-4'. x = 1.75 Simplifying x = 1.75Solution
x = {2, 1.75}
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