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Simplifying 0 = 2000x + -2x2 Solving 0 = 2000x + -2x2 Solving for variable 'x'. Remove the zero: -2000x + 2x2 = 2000x + -2x2 + -2000x + 2x2 Reorder the terms: -2000x + 2x2 = 2000x + -2000x + -2x2 + 2x2 Combine like terms: 2000x + -2000x = 0 -2000x + 2x2 = 0 + -2x2 + 2x2 -2000x + 2x2 = -2x2 + 2x2 Combine like terms: -2x2 + 2x2 = 0 -2000x + 2x2 = 0 Factor out the Greatest Common Factor (GCF), '2x'. 2x(-1000 + 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 '(-1000 + x)' equal to zero and attempt to solve: Simplifying -1000 + x = 0 Solving -1000 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '1000' to each side of the equation. -1000 + 1000 + x = 0 + 1000 Combine like terms: -1000 + 1000 = 0 0 + x = 0 + 1000 x = 0 + 1000 Combine like terms: 0 + 1000 = 1000 x = 1000 Simplifying x = 1000Solution
x = {0, 1000}
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