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Simplifying 0 = -4x2 + 4000x Reorder the terms: 0 = 4000x + -4x2 Solving 0 = 4000x + -4x2 Solving for variable 'x'. Remove the zero: -4000x + 4x2 = 4000x + -4x2 + -4000x + 4x2 Reorder the terms: -4000x + 4x2 = 4000x + -4000x + -4x2 + 4x2 Combine like terms: 4000x + -4000x = 0 -4000x + 4x2 = 0 + -4x2 + 4x2 -4000x + 4x2 = -4x2 + 4x2 Combine like terms: -4x2 + 4x2 = 0 -4000x + 4x2 = 0 Factor out the Greatest Common Factor (GCF), '4x'. 4x(-1000 + x) = 0 Ignore the factor 4.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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