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Simplifying 0 = 665x + -9750 + -1x2 Reorder the terms: 0 = -9750 + 665x + -1x2 Solving 0 = -9750 + 665x + -1x2 Solving for variable 'x'. Combine like terms: 0 + 9750 = 9750 9750 + -665x + x2 = -9750 + 665x + -1x2 + 9750 + -665x + x2 Reorder the terms: 9750 + -665x + x2 = -9750 + 9750 + 665x + -665x + -1x2 + x2 Combine like terms: -9750 + 9750 = 0 9750 + -665x + x2 = 0 + 665x + -665x + -1x2 + x2 9750 + -665x + x2 = 665x + -665x + -1x2 + x2 Combine like terms: 665x + -665x = 0 9750 + -665x + x2 = 0 + -1x2 + x2 9750 + -665x + x2 = -1x2 + x2 Combine like terms: -1x2 + x2 = 0 9750 + -665x + x2 = 0 Factor a trinomial. (15 + -1x)(650 + -1x) = 0Subproblem 1
Set the factor '(15 + -1x)' equal to zero and attempt to solve: Simplifying 15 + -1x = 0 Solving 15 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + -1x = 0 + -15 Combine like terms: 15 + -15 = 0 0 + -1x = 0 + -15 -1x = 0 + -15 Combine like terms: 0 + -15 = -15 -1x = -15 Divide each side by '-1'. x = 15 Simplifying x = 15Subproblem 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 = {15, 650}
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