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Simplifying 0 = -5x2 + 15000x Reorder the terms: 0 = 15000x + -5x2 Solving 0 = 15000x + -5x2 Solving for variable 'x'. Remove the zero: -15000x + 5x2 = 15000x + -5x2 + -15000x + 5x2 Reorder the terms: -15000x + 5x2 = 15000x + -15000x + -5x2 + 5x2 Combine like terms: 15000x + -15000x = 0 -15000x + 5x2 = 0 + -5x2 + 5x2 -15000x + 5x2 = -5x2 + 5x2 Combine like terms: -5x2 + 5x2 = 0 -15000x + 5x2 = 0 Factor out the Greatest Common Factor (GCF), '5x'. 5x(-3000 + x) = 0 Ignore the factor 5.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 '(-3000 + x)' equal to zero and attempt to solve: Simplifying -3000 + x = 0 Solving -3000 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '3000' to each side of the equation. -3000 + 3000 + x = 0 + 3000 Combine like terms: -3000 + 3000 = 0 0 + x = 0 + 3000 x = 0 + 3000 Combine like terms: 0 + 3000 = 3000 x = 3000 Simplifying x = 3000Solution
x = {0, 3000}
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