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Simplifying 0 = -2x2 + 600x Reorder the terms: 0 = 600x + -2x2 Solving 0 = 600x + -2x2 Solving for variable 'x'. Remove the zero: -600x + 2x2 = 600x + -2x2 + -600x + 2x2 Reorder the terms: -600x + 2x2 = 600x + -600x + -2x2 + 2x2 Combine like terms: 600x + -600x = 0 -600x + 2x2 = 0 + -2x2 + 2x2 -600x + 2x2 = -2x2 + 2x2 Combine like terms: -2x2 + 2x2 = 0 -600x + 2x2 = 0 Factor out the Greatest Common Factor (GCF), '2x'. 2x(-300 + x) = 0 Ignore the factor 2.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 '(-300 + x)' equal to zero and attempt to solve: Simplifying -300 + x = 0 Solving -300 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '300' to each side of the equation. -300 + 300 + x = 0 + 300 Combine like terms: -300 + 300 = 0 0 + x = 0 + 300 x = 0 + 300 Combine like terms: 0 + 300 = 300 x = 300 Simplifying x = 300Solution
x = {0, 300}
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