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Simplifying 0 = -8x2 + 10000x Reorder the terms: 0 = 10000x + -8x2 Solving 0 = 10000x + -8x2 Solving for variable 'x'. Remove the zero: -10000x + 8x2 = 10000x + -8x2 + -10000x + 8x2 Reorder the terms: -10000x + 8x2 = 10000x + -10000x + -8x2 + 8x2 Combine like terms: 10000x + -10000x = 0 -10000x + 8x2 = 0 + -8x2 + 8x2 -10000x + 8x2 = -8x2 + 8x2 Combine like terms: -8x2 + 8x2 = 0 -10000x + 8x2 = 0 Factor out the Greatest Common Factor (GCF), '8x'. 8x(-1250 + x) = 0 Ignore the factor 8.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 + x)' equal to zero and attempt to solve: Simplifying -1250 + x = 0 Solving -1250 + x = 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 + x = 0 + 1250 Combine like terms: -1250 + 1250 = 0 0 + x = 0 + 1250 x = 0 + 1250 Combine like terms: 0 + 1250 = 1250 x = 1250 Simplifying x = 1250Solution
x = {0, 1250}
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