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Simplifying -4x2 + 8000x = 0 Reorder the terms: 8000x + -4x2 = 0 Solving 8000x + -4x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '4x'. 4x(2000 + -1x) = 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 '(2000 + -1x)' equal to zero and attempt to solve: Simplifying 2000 + -1x = 0 Solving 2000 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-2000' to each side of the equation. 2000 + -2000 + -1x = 0 + -2000 Combine like terms: 2000 + -2000 = 0 0 + -1x = 0 + -2000 -1x = 0 + -2000 Combine like terms: 0 + -2000 = -2000 -1x = -2000 Divide each side by '-1'. x = 2000 Simplifying x = 2000Solution
x = {0, 2000}
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