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Simplifying 77x2 + -151x + 72 = 0 Reorder the terms: 72 + -151x + 77x2 = 0 Solving 72 + -151x + 77x2 = 0 Solving for variable 'x'. Factor a trinomial. (9 + -11x)(8 + -7x) = 0Subproblem 1
Set the factor '(9 + -11x)' equal to zero and attempt to solve: Simplifying 9 + -11x = 0 Solving 9 + -11x = 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 + -11x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -11x = 0 + -9 -11x = 0 + -9 Combine like terms: 0 + -9 = -9 -11x = -9 Divide each side by '-11'. x = 0.8181818182 Simplifying x = 0.8181818182Subproblem 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 = {0.8181818182, 1.142857143}
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