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Simplifying 0 = 675x + -16250 + -1x2 Reorder the terms: 0 = -16250 + 675x + -1x2 Solving 0 = -16250 + 675x + -1x2 Solving for variable 'x'. Combine like terms: 0 + 16250 = 16250 16250 + -675x + x2 = -16250 + 675x + -1x2 + 16250 + -675x + x2 Reorder the terms: 16250 + -675x + x2 = -16250 + 16250 + 675x + -675x + -1x2 + x2 Combine like terms: -16250 + 16250 = 0 16250 + -675x + x2 = 0 + 675x + -675x + -1x2 + x2 16250 + -675x + x2 = 675x + -675x + -1x2 + x2 Combine like terms: 675x + -675x = 0 16250 + -675x + x2 = 0 + -1x2 + x2 16250 + -675x + x2 = -1x2 + x2 Combine like terms: -1x2 + x2 = 0 16250 + -675x + x2 = 0 Factor a trinomial. (25 + -1x)(650 + -1x) = 0Subproblem 1
Set the factor '(25 + -1x)' equal to zero and attempt to solve: Simplifying 25 + -1x = 0 Solving 25 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-25' to each side of the equation. 25 + -25 + -1x = 0 + -25 Combine like terms: 25 + -25 = 0 0 + -1x = 0 + -25 -1x = 0 + -25 Combine like terms: 0 + -25 = -25 -1x = -25 Divide each side by '-1'. x = 25 Simplifying x = 25Subproblem 2
Set the factor '(650 + -1x)' equal to zero and attempt to solve: Simplifying 650 + -1x = 0 Solving 650 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-650' to each side of the equation. 650 + -650 + -1x = 0 + -650 Combine like terms: 650 + -650 = 0 0 + -1x = 0 + -650 -1x = 0 + -650 Combine like terms: 0 + -650 = -650 -1x = -650 Divide each side by '-1'. x = 650 Simplifying x = 650Solution
x = {25, 650}
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