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Simplifying -16x2 + 220x = 750 Reorder the terms: 220x + -16x2 = 750 Solving 220x + -16x2 = 750 Solving for variable 'x'. Reorder the terms: -750 + 220x + -16x2 = 750 + -750 Combine like terms: 750 + -750 = 0 -750 + 220x + -16x2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-375 + 110x + -8x2) = 0 Factor a trinomial. 2((-15 + 2x)(25 + -4x)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-15 + 2x)' equal to zero and attempt to solve: Simplifying -15 + 2x = 0 Solving -15 + 2x = 0 Move all terms containing x to the left, all other terms to the right. Add '15' to each side of the equation. -15 + 15 + 2x = 0 + 15 Combine like terms: -15 + 15 = 0 0 + 2x = 0 + 15 2x = 0 + 15 Combine like terms: 0 + 15 = 15 2x = 15 Divide each side by '2'. x = 7.5 Simplifying x = 7.5Subproblem 2
Set the factor '(25 + -4x)' equal to zero and attempt to solve: Simplifying 25 + -4x = 0 Solving 25 + -4x = 0 Move all terms containing x to the left, all other terms to the right. Add '-25' to each side of the equation. 25 + -25 + -4x = 0 + -25 Combine like terms: 25 + -25 = 0 0 + -4x = 0 + -25 -4x = 0 + -25 Combine like terms: 0 + -25 = -25 -4x = -25 Divide each side by '-4'. x = 6.25 Simplifying x = 6.25Solution
x = {7.5, 6.25}
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