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Simplifying 9x2 + -83x + 140 = 0 Reorder the terms: 140 + -83x + 9x2 = 0 Solving 140 + -83x + 9x2 = 0 Solving for variable 'x'. Factor a trinomial. (20 + -9x)(7 + -1x) = 0Subproblem 1
Set the factor '(20 + -9x)' equal to zero and attempt to solve: Simplifying 20 + -9x = 0 Solving 20 + -9x = 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 + -9x = 0 + -20 Combine like terms: 20 + -20 = 0 0 + -9x = 0 + -20 -9x = 0 + -20 Combine like terms: 0 + -20 = -20 -9x = -20 Divide each side by '-9'. x = 2.222222222 Simplifying x = 2.222222222Subproblem 2
Set the factor '(7 + -1x)' equal to zero and attempt to solve: Simplifying 7 + -1x = 0 Solving 7 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -1x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -1x = 0 + -7 -1x = 0 + -7 Combine like terms: 0 + -7 = -7 -1x = -7 Divide each side by '-1'. x = 7 Simplifying x = 7Solution
x = {2.222222222, 7}
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