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Simplifying 0 = 360x + -3x2 Solving 0 = 360x + -3x2 Solving for variable 'x'. Remove the zero: -360x + 3x2 = 360x + -3x2 + -360x + 3x2 Reorder the terms: -360x + 3x2 = 360x + -360x + -3x2 + 3x2 Combine like terms: 360x + -360x = 0 -360x + 3x2 = 0 + -3x2 + 3x2 -360x + 3x2 = -3x2 + 3x2 Combine like terms: -3x2 + 3x2 = 0 -360x + 3x2 = 0 Factor out the Greatest Common Factor (GCF), '3x'. 3x(-120 + x) = 0 Ignore the factor 3.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 '(-120 + x)' equal to zero and attempt to solve: Simplifying -120 + x = 0 Solving -120 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '120' to each side of the equation. -120 + 120 + x = 0 + 120 Combine like terms: -120 + 120 = 0 0 + x = 0 + 120 x = 0 + 120 Combine like terms: 0 + 120 = 120 x = 120 Simplifying x = 120Solution
x = {0, 120}
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