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Simplifying 24x2 + -74x + -69 = 0 Reorder the terms: -69 + -74x + 24x2 = 0 Solving -69 + -74x + 24x2 = 0 Solving for variable 'x'. Factor a trinomial. (-3 + -4x)(23 + -6x) = 0Subproblem 1
Set the factor '(-3 + -4x)' equal to zero and attempt to solve: Simplifying -3 + -4x = 0 Solving -3 + -4x = 0 Move all terms containing x to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + -4x = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -4x = 0 + 3 -4x = 0 + 3 Combine like terms: 0 + 3 = 3 -4x = 3 Divide each side by '-4'. x = -0.75 Simplifying x = -0.75Subproblem 2
Set the factor '(23 + -6x)' equal to zero and attempt to solve: Simplifying 23 + -6x = 0 Solving 23 + -6x = 0 Move all terms containing x to the left, all other terms to the right. Add '-23' to each side of the equation. 23 + -23 + -6x = 0 + -23 Combine like terms: 23 + -23 = 0 0 + -6x = 0 + -23 -6x = 0 + -23 Combine like terms: 0 + -23 = -23 -6x = -23 Divide each side by '-6'. x = 3.833333333 Simplifying x = 3.833333333Solution
x = {-0.75, 3.833333333}
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