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Simplifying 77x2 + -60x + -32 = 0 Reorder the terms: -32 + -60x + 77x2 = 0 Solving -32 + -60x + 77x2 = 0 Solving for variable 'x'. Factor a trinomial. (-4 + -11x)(8 + -7x) = 0Subproblem 1
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 = -0.3636363636Subproblem 2
Set the factor '(8 + -7x)' equal to zero and attempt to solve: Simplifying 8 + -7x = 0 Solving 8 + -7x = 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 + -7x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -7x = 0 + -8 -7x = 0 + -8 Combine like terms: 0 + -8 = -8 -7x = -8 Divide each side by '-7'. x = 1.142857143 Simplifying x = 1.142857143Solution
x = {-0.3636363636, 1.142857143}
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