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Simplifying -11x2 + -174x + 221 = 0 Reorder the terms: 221 + -174x + -11x2 = 0 Solving 221 + -174x + -11x2 = 0 Solving for variable 'x'. Factor a trinomial. (13 + -11x)(17 + x) = 0Subproblem 1
Set the factor '(13 + -11x)' equal to zero and attempt to solve: Simplifying 13 + -11x = 0 Solving 13 + -11x = 0 Move all terms containing x to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + -11x = 0 + -13 Combine like terms: 13 + -13 = 0 0 + -11x = 0 + -13 -11x = 0 + -13 Combine like terms: 0 + -13 = -13 -11x = -13 Divide each side by '-11'. x = 1.181818182 Simplifying x = 1.181818182Subproblem 2
Set the factor '(17 + x)' equal to zero and attempt to solve: Simplifying 17 + x = 0 Solving 17 + x = 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 + x = 0 + -17 Combine like terms: 17 + -17 = 0 0 + x = 0 + -17 x = 0 + -17 Combine like terms: 0 + -17 = -17 x = -17 Simplifying x = -17Solution
x = {1.181818182, -17}
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