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Simplifying -11x2 + 39x + -34 = 0 Reorder the terms: -34 + 39x + -11x2 = 0 Solving -34 + 39x + -11x2 = 0 Solving for variable 'x'. Factor a trinomial. (-2 + x)(17 + -11x) = 0Subproblem 1
Set the factor '(-2 + x)' equal to zero and attempt to solve: Simplifying -2 + x = 0 Solving -2 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + x = 0 + 2 Combine like terms: -2 + 2 = 0 0 + x = 0 + 2 x = 0 + 2 Combine like terms: 0 + 2 = 2 x = 2 Simplifying x = 2Subproblem 2
Set the factor '(17 + -11x)' equal to zero and attempt to solve: Simplifying 17 + -11x = 0 Solving 17 + -11x = 0 Move all terms containing x to the left, all other terms to the right. Add '-17' to each side of the equation. 17 + -17 + -11x = 0 + -17 Combine like terms: 17 + -17 = 0 0 + -11x = 0 + -17 -11x = 0 + -17 Combine like terms: 0 + -17 = -17 -11x = -17 Divide each side by '-11'. x = 1.545454545 Simplifying x = 1.545454545Solution
x = {2, 1.545454545}
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