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Simplifying 0 = 120x + -5x2 Solving 0 = 120x + -5x2 Solving for variable 'x'. Remove the zero: -120x + 5x2 = 120x + -5x2 + -120x + 5x2 Reorder the terms: -120x + 5x2 = 120x + -120x + -5x2 + 5x2 Combine like terms: 120x + -120x = 0 -120x + 5x2 = 0 + -5x2 + 5x2 -120x + 5x2 = -5x2 + 5x2 Combine like terms: -5x2 + 5x2 = 0 -120x + 5x2 = 0 Factor out the Greatest Common Factor (GCF), '5x'. 5x(-24 + x) = 0 Ignore the factor 5.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 '(-24 + x)' equal to zero and attempt to solve: Simplifying -24 + x = 0 Solving -24 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '24' to each side of the equation. -24 + 24 + x = 0 + 24 Combine like terms: -24 + 24 = 0 0 + x = 0 + 24 x = 0 + 24 Combine like terms: 0 + 24 = 24 x = 24 Simplifying x = 24Solution
x = {0, 24}
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