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Simplifying 9x2 + -73x + 114 = 0 Reorder the terms: 114 + -73x + 9x2 = 0 Solving 114 + -73x + 9x2 = 0 Solving for variable 'x'. Factor a trinomial. (19 + -9x)(6 + -1x) = 0Subproblem 1
Set the factor '(19 + -9x)' equal to zero and attempt to solve: Simplifying 19 + -9x = 0 Solving 19 + -9x = 0 Move all terms containing x to the left, all other terms to the right. Add '-19' to each side of the equation. 19 + -19 + -9x = 0 + -19 Combine like terms: 19 + -19 = 0 0 + -9x = 0 + -19 -9x = 0 + -19 Combine like terms: 0 + -19 = -19 -9x = -19 Divide each side by '-9'. x = 2.111111111 Simplifying x = 2.111111111Subproblem 2
Set the factor '(6 + -1x)' equal to zero and attempt to solve: Simplifying 6 + -1x = 0 Solving 6 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -1x = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -1x = 0 + -6 -1x = 0 + -6 Combine like terms: 0 + -6 = -6 -1x = -6 Divide each side by '-1'. x = 6 Simplifying x = 6Solution
x = {2.111111111, 6}
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