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Simplifying 24x2 + 86x + 77 = 0 Reorder the terms: 77 + 86x + 24x2 = 0 Solving 77 + 86x + 24x2 = 0 Solving for variable 'x'. Factor a trinomial. (11 + 6x)(7 + 4x) = 0Subproblem 1
Set the factor '(11 + 6x)' equal to zero and attempt to solve: Simplifying 11 + 6x = 0 Solving 11 + 6x = 0 Move all terms containing x to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + 6x = 0 + -11 Combine like terms: 11 + -11 = 0 0 + 6x = 0 + -11 6x = 0 + -11 Combine like terms: 0 + -11 = -11 6x = -11 Divide each side by '6'. x = -1.833333333 Simplifying x = -1.833333333Subproblem 2
Set the factor '(7 + 4x)' equal to zero and attempt to solve: Simplifying 7 + 4x = 0 Solving 7 + 4x = 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 + 4x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 4x = 0 + -7 4x = 0 + -7 Combine like terms: 0 + -7 = -7 4x = -7 Divide each side by '4'. x = -1.75 Simplifying x = -1.75Solution
x = {-1.833333333, -1.75}
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