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Simplifying -11x2 + -86x + 16 = 0 Reorder the terms: 16 + -86x + -11x2 = 0 Solving 16 + -86x + -11x2 = 0 Solving for variable 'x'. Factor a trinomial. (2 + -11x)(8 + x) = 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 '(8 + x)' equal to zero and attempt to solve: Simplifying 8 + x = 0 Solving 8 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + x = 0 + -8 x = 0 + -8 Combine like terms: 0 + -8 = -8 x = -8 Simplifying x = -8Solution
x = {0.1818181818, -8}
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