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Simplifying 77x2 + 25x + -72 = 0 Reorder the terms: -72 + 25x + 77x2 = 0 Solving -72 + 25x + 77x2 = 0 Solving for variable 'x'. Factor a trinomial. (-8 + -7x)(9 + -11x) = 0Subproblem 1
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 = -1.142857143Subproblem 2
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 = 0.8181818182Solution
x = {-1.142857143, 0.8181818182}
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