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Simplifying 0 = x(250 + -1x) 0 = (250 * x + -1x * x) 0 = (250x + -1x2) Solving 0 = 250x + -1x2 Solving for variable 'x'. Remove the zero: -250x + x2 = 250x + -1x2 + -250x + x2 Reorder the terms: -250x + x2 = 250x + -250x + -1x2 + x2 Combine like terms: 250x + -250x = 0 -250x + x2 = 0 + -1x2 + x2 -250x + x2 = -1x2 + x2 Combine like terms: -1x2 + x2 = 0 -250x + x2 = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(-250 + x) = 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 '(-250 + x)' equal to zero and attempt to solve: Simplifying -250 + x = 0 Solving -250 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '250' to each side of the equation. -250 + 250 + x = 0 + 250 Combine like terms: -250 + 250 = 0 0 + x = 0 + 250 x = 0 + 250 Combine like terms: 0 + 250 = 250 x = 250 Simplifying x = 250Solution
x = {0, 250}
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