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Simplifying 30000 + 1700x + -20x2 = 56000 Solving 30000 + 1700x + -20x2 = 56000 Solving for variable 'x'. Reorder the terms: 30000 + -56000 + 1700x + -20x2 = 56000 + -56000 Combine like terms: 30000 + -56000 = -26000 -26000 + 1700x + -20x2 = 56000 + -56000 Combine like terms: 56000 + -56000 = 0 -26000 + 1700x + -20x2 = 0 Factor out the Greatest Common Factor (GCF), '20'. 20(-1300 + 85x + -1x2) = 0 Factor a trinomial. 20((-65 + x)(20 + -1x)) = 0 Ignore the factor 20.Subproblem 1
Set the factor '(-65 + x)' equal to zero and attempt to solve: Simplifying -65 + x = 0 Solving -65 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '65' to each side of the equation. -65 + 65 + x = 0 + 65 Combine like terms: -65 + 65 = 0 0 + x = 0 + 65 x = 0 + 65 Combine like terms: 0 + 65 = 65 x = 65 Simplifying x = 65Subproblem 2
Set the factor '(20 + -1x)' equal to zero and attempt to solve: Simplifying 20 + -1x = 0 Solving 20 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-20' to each side of the equation. 20 + -20 + -1x = 0 + -20 Combine like terms: 20 + -20 = 0 0 + -1x = 0 + -20 -1x = 0 + -20 Combine like terms: 0 + -20 = -20 -1x = -20 Divide each side by '-1'. x = 20 Simplifying x = 20Solution
x = {65, 20}
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