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Simplifying 77x2 + 94x + -91 = 0 Reorder the terms: -91 + 94x + 77x2 = 0 Solving -91 + 94x + 77x2 = 0 Solving for variable 'x'. Factor a trinomial. (-13 + -7x)(7 + -11x) = 0Subproblem 1
Set the factor '(-13 + -7x)' equal to zero and attempt to solve: Simplifying -13 + -7x = 0 Solving -13 + -7x = 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 + -7x = 0 + 13 Combine like terms: -13 + 13 = 0 0 + -7x = 0 + 13 -7x = 0 + 13 Combine like terms: 0 + 13 = 13 -7x = 13 Divide each side by '-7'. x = -1.857142857 Simplifying x = -1.857142857Subproblem 2
Set the factor '(7 + -11x)' equal to zero and attempt to solve: Simplifying 7 + -11x = 0 Solving 7 + -11x = 0 Move all terms containing x to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -11x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -11x = 0 + -7 -11x = 0 + -7 Combine like terms: 0 + -7 = -7 -11x = -7 Divide each side by '-11'. x = 0.6363636364 Simplifying x = 0.6363636364Solution
x = {-1.857142857, 0.6363636364}
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