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Simplifying 375x + -1x2 = 31250 Solving 375x + -1x2 = 31250 Solving for variable 'x'. Reorder the terms: -31250 + 375x + -1x2 = 31250 + -31250 Combine like terms: 31250 + -31250 = 0 -31250 + 375x + -1x2 = 0 Factor a trinomial. (-250 + x)(125 + -1x) = 0Subproblem 1
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 = 250Subproblem 2
Set the factor '(125 + -1x)' equal to zero and attempt to solve: Simplifying 125 + -1x = 0 Solving 125 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-125' to each side of the equation. 125 + -125 + -1x = 0 + -125 Combine like terms: 125 + -125 = 0 0 + -1x = 0 + -125 -1x = 0 + -125 Combine like terms: 0 + -125 = -125 -1x = -125 Divide each side by '-1'. x = 125 Simplifying x = 125Solution
x = {250, 125}
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