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Simplifying 2500x + -2x2 = 0 Solving 2500x + -2x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2x'. 2x(1250 + -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 '(1250 + -1x)' equal to zero and attempt to solve: Simplifying 1250 + -1x = 0 Solving 1250 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-1250' to each side of the equation. 1250 + -1250 + -1x = 0 + -1250 Combine like terms: 1250 + -1250 = 0 0 + -1x = 0 + -1250 -1x = 0 + -1250 Combine like terms: 0 + -1250 = -1250 -1x = -1250 Divide each side by '-1'. x = 1250 Simplifying x = 1250Solution
x = {0, 1250}
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