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Simplifying -2x2 + 1000x = 0 Reorder the terms: 1000x + -2x2 = 0 Solving 1000x + -2x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2x'. 2x(500 + -1x) = 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 '(500 + -1x)' equal to zero and attempt to solve: Simplifying 500 + -1x = 0 Solving 500 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-500' to each side of the equation. 500 + -500 + -1x = 0 + -500 Combine like terms: 500 + -500 = 0 0 + -1x = 0 + -500 -1x = 0 + -500 Combine like terms: 0 + -500 = -500 -1x = -500 Divide each side by '-1'. x = 500 Simplifying x = 500Solution
x = {0, 500}
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