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Simplifying 24x2 + 38x + -85 = 0 Reorder the terms: -85 + 38x + 24x2 = 0 Solving -85 + 38x + 24x2 = 0 Solving for variable 'x'. Factor a trinomial. (-17 + -6x)(5 + -4x) = 0Subproblem 1
Set the factor '(-17 + -6x)' equal to zero and attempt to solve: Simplifying -17 + -6x = 0 Solving -17 + -6x = 0 Move all terms containing x to the left, all other terms to the right. Add '17' to each side of the equation. -17 + 17 + -6x = 0 + 17 Combine like terms: -17 + 17 = 0 0 + -6x = 0 + 17 -6x = 0 + 17 Combine like terms: 0 + 17 = 17 -6x = 17 Divide each side by '-6'. x = -2.833333333 Simplifying x = -2.833333333Subproblem 2
Set the factor '(5 + -4x)' equal to zero and attempt to solve: Simplifying 5 + -4x = 0 Solving 5 + -4x = 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 + -4x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -4x = 0 + -5 -4x = 0 + -5 Combine like terms: 0 + -5 = -5 -4x = -5 Divide each side by '-4'. x = 1.25 Simplifying x = 1.25Solution
x = {-2.833333333, 1.25}
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