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Simplifying 77x2 + -123x + 40 = 0 Reorder the terms: 40 + -123x + 77x2 = 0 Solving 40 + -123x + 77x2 = 0 Solving for variable 'x'. Factor a trinomial. (5 + -11x)(8 + -7x) = 0Subproblem 1
Set the factor '(5 + -11x)' equal to zero and attempt to solve: Simplifying 5 + -11x = 0 Solving 5 + -11x = 0 Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -11x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -11x = 0 + -5 -11x = 0 + -5 Combine like terms: 0 + -5 = -5 -11x = -5 Divide each side by '-11'. x = 0.4545454545 Simplifying x = 0.4545454545Subproblem 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 = {0.4545454545, 1.142857143}
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