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Simplifying 121x2 + 44x + -32 = 0 Reorder the terms: -32 + 44x + 121x2 = 0 Solving -32 + 44x + 121x2 = 0 Solving for variable 'x'. Factor a trinomial. (-8 + -11x)(4 + -11x) = 0Subproblem 1
Set the factor '(-8 + -11x)' equal to zero and attempt to solve: Simplifying -8 + -11x = 0 Solving -8 + -11x = 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 + -11x = 0 + 8 Combine like terms: -8 + 8 = 0 0 + -11x = 0 + 8 -11x = 0 + 8 Combine like terms: 0 + 8 = 8 -11x = 8 Divide each side by '-11'. x = -0.7272727273 Simplifying x = -0.7272727273Subproblem 2
Set the factor '(4 + -11x)' equal to zero and attempt to solve: Simplifying 4 + -11x = 0 Solving 4 + -11x = 0 Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -11x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -11x = 0 + -4 -11x = 0 + -4 Combine like terms: 0 + -4 = -4 -11x = -4 Divide each side by '-11'. x = 0.3636363636 Simplifying x = 0.3636363636Solution
x = {-0.7272727273, 0.3636363636}
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