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Simplifying 0 = 120x + -16x2 Solving 0 = 120x + -16x2 Solving for variable 'x'. Remove the zero: -120x + 16x2 = 120x + -16x2 + -120x + 16x2 Reorder the terms: -120x + 16x2 = 120x + -120x + -16x2 + 16x2 Combine like terms: 120x + -120x = 0 -120x + 16x2 = 0 + -16x2 + 16x2 -120x + 16x2 = -16x2 + 16x2 Combine like terms: -16x2 + 16x2 = 0 -120x + 16x2 = 0 Factor out the Greatest Common Factor (GCF), '8x'. 8x(-15 + 2x) = 0 Ignore the factor 8.Subproblem 1
Set the factor 'x' equal to zero and attempt to solve: Simplifying x = 0 Solving x = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x = 0Subproblem 2
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 = 7.5Solution
x = {0, 7.5}
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