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Simplifying 0 = 18000x + -2x2 Solving 0 = 18000x + -2x2 Solving for variable 'x'. Remove the zero: -18000x + 2x2 = 18000x + -2x2 + -18000x + 2x2 Reorder the terms: -18000x + 2x2 = 18000x + -18000x + -2x2 + 2x2 Combine like terms: 18000x + -18000x = 0 -18000x + 2x2 = 0 + -2x2 + 2x2 -18000x + 2x2 = -2x2 + 2x2 Combine like terms: -2x2 + 2x2 = 0 -18000x + 2x2 = 0 Factor out the Greatest Common Factor (GCF), '2x'. 2x(-9000 + 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 '(-9000 + x)' equal to zero and attempt to solve: Simplifying -9000 + x = 0 Solving -9000 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '9000' to each side of the equation. -9000 + 9000 + x = 0 + 9000 Combine like terms: -9000 + 9000 = 0 0 + x = 0 + 9000 x = 0 + 9000 Combine like terms: 0 + 9000 = 9000 x = 9000 Simplifying x = 9000Solution
x = {0, 9000}
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