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Simplifying 9x2 + -89x + 182 = 0 Reorder the terms: 182 + -89x + 9x2 = 0 Solving 182 + -89x + 9x2 = 0 Solving for variable 'x'. Factor a trinomial. (26 + -9x)(7 + -1x) = 0Subproblem 1
Set the factor '(26 + -9x)' equal to zero and attempt to solve: Simplifying 26 + -9x = 0 Solving 26 + -9x = 0 Move all terms containing x to the left, all other terms to the right. Add '-26' to each side of the equation. 26 + -26 + -9x = 0 + -26 Combine like terms: 26 + -26 = 0 0 + -9x = 0 + -26 -9x = 0 + -26 Combine like terms: 0 + -26 = -26 -9x = -26 Divide each side by '-9'. x = 2.888888889 Simplifying x = 2.888888889Subproblem 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 = {2.888888889, 7}
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