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Simplifying (x) = -750x2 + 15000x x = -750x2 + 15000x Reorder the terms: x = 15000x + -750x2 Solving x = 15000x + -750x2 Solving for variable 'x'. Combine like terms: x + -15000x = -14999x -14999x + 750x2 = 15000x + -750x2 + -15000x + 750x2 Reorder the terms: -14999x + 750x2 = 15000x + -15000x + -750x2 + 750x2 Combine like terms: 15000x + -15000x = 0 -14999x + 750x2 = 0 + -750x2 + 750x2 -14999x + 750x2 = -750x2 + 750x2 Combine like terms: -750x2 + 750x2 = 0 -14999x + 750x2 = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(-14999 + 750x) = 0Subproblem 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 '(-14999 + 750x)' equal to zero and attempt to solve: Simplifying -14999 + 750x = 0 Solving -14999 + 750x = 0 Move all terms containing x to the left, all other terms to the right. Add '14999' to each side of the equation. -14999 + 14999 + 750x = 0 + 14999 Combine like terms: -14999 + 14999 = 0 0 + 750x = 0 + 14999 750x = 0 + 14999 Combine like terms: 0 + 14999 = 14999 750x = 14999 Divide each side by '750'. x = 19.99866667 Simplifying x = 19.99866667Solution
x = {0, 19.99866667}
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