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Simplifying 55x2 + -109x + 18 = 0 Reorder the terms: 18 + -109x + 55x2 = 0 Solving 18 + -109x + 55x2 = 0 Solving for variable 'x'. Factor a trinomial. (2 + -11x)(9 + -5x) = 0Subproblem 1
Set the factor '(2 + -11x)' equal to zero and attempt to solve: Simplifying 2 + -11x = 0 Solving 2 + -11x = 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 + -11x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -11x = 0 + -2 -11x = 0 + -2 Combine like terms: 0 + -2 = -2 -11x = -2 Divide each side by '-11'. x = 0.1818181818 Simplifying x = 0.1818181818Subproblem 2
Set the factor '(9 + -5x)' equal to zero and attempt to solve: Simplifying 9 + -5x = 0 Solving 9 + -5x = 0 Move all terms containing x to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -5x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -5x = 0 + -9 -5x = 0 + -9 Combine like terms: 0 + -9 = -9 -5x = -9 Divide each side by '-5'. x = 1.8 Simplifying x = 1.8Solution
x = {0.1818181818, 1.8}
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