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Simplifying x = 40000x + -250x2 Solving x = 40000x + -250x2 Solving for variable 'x'. Combine like terms: x + -40000x = -39999x -39999x + 250x2 = 40000x + -250x2 + -40000x + 250x2 Reorder the terms: -39999x + 250x2 = 40000x + -40000x + -250x2 + 250x2 Combine like terms: 40000x + -40000x = 0 -39999x + 250x2 = 0 + -250x2 + 250x2 -39999x + 250x2 = -250x2 + 250x2 Combine like terms: -250x2 + 250x2 = 0 -39999x + 250x2 = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(-39999 + 250x) = 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 '(-39999 + 250x)' equal to zero and attempt to solve: Simplifying -39999 + 250x = 0 Solving -39999 + 250x = 0 Move all terms containing x to the left, all other terms to the right. Add '39999' to each side of the equation. -39999 + 39999 + 250x = 0 + 39999 Combine like terms: -39999 + 39999 = 0 0 + 250x = 0 + 39999 250x = 0 + 39999 Combine like terms: 0 + 39999 = 39999 250x = 39999 Divide each side by '250'. x = 159.996 Simplifying x = 159.996Solution
x = {0, 159.996}
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