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Simplifying 0 = 2x2 + 4000x Reorder the terms: 0 = 4000x + 2x2 Solving 0 = 4000x + 2x2 Solving for variable 'x'. Remove the zero: -4000x + -2x2 = 4000x + 2x2 + -4000x + -2x2 Reorder the terms: -4000x + -2x2 = 4000x + -4000x + 2x2 + -2x2 Combine like terms: 4000x + -4000x = 0 -4000x + -2x2 = 0 + 2x2 + -2x2 -4000x + -2x2 = 2x2 + -2x2 Combine like terms: 2x2 + -2x2 = 0 -4000x + -2x2 = 0 Factor out the Greatest Common Factor (GCF), '-2x'. -2x(2000 + x) = 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 '(2000 + x)' equal to zero and attempt to solve: Simplifying 2000 + x = 0 Solving 2000 + x = 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 + x = 0 + -2000 Combine like terms: 2000 + -2000 = 0 0 + x = 0 + -2000 x = 0 + -2000 Combine like terms: 0 + -2000 = -2000 x = -2000 Simplifying x = -2000Solution
x = {0, -2000}
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