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Simplifying 0 = -40x2 + 2400x Reorder the terms: 0 = 2400x + -40x2 Solving 0 = 2400x + -40x2 Solving for variable 'x'. Remove the zero: -2400x + 40x2 = 2400x + -40x2 + -2400x + 40x2 Reorder the terms: -2400x + 40x2 = 2400x + -2400x + -40x2 + 40x2 Combine like terms: 2400x + -2400x = 0 -2400x + 40x2 = 0 + -40x2 + 40x2 -2400x + 40x2 = -40x2 + 40x2 Combine like terms: -40x2 + 40x2 = 0 -2400x + 40x2 = 0 Factor out the Greatest Common Factor (GCF), '40x'. 40x(-60 + x) = 0 Ignore the factor 40.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 '(-60 + x)' equal to zero and attempt to solve: Simplifying -60 + x = 0 Solving -60 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '60' to each side of the equation. -60 + 60 + x = 0 + 60 Combine like terms: -60 + 60 = 0 0 + x = 0 + 60 x = 0 + 60 Combine like terms: 0 + 60 = 60 x = 60 Simplifying x = 60Solution
x = {0, 60}
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