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Simplifying 24x2 + -122x + -55 = 0 Reorder the terms: -55 + -122x + 24x2 = 0 Solving -55 + -122x + 24x2 = 0 Solving for variable 'x'. Factor a trinomial. (-5 + -12x)(11 + -2x) = 0Subproblem 1
Set the factor '(-5 + -12x)' equal to zero and attempt to solve: Simplifying -5 + -12x = 0 Solving -5 + -12x = 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 + -12x = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -12x = 0 + 5 -12x = 0 + 5 Combine like terms: 0 + 5 = 5 -12x = 5 Divide each side by '-12'. x = -0.4166666667 Simplifying x = -0.4166666667Subproblem 2
Set the factor '(11 + -2x)' equal to zero and attempt to solve: Simplifying 11 + -2x = 0 Solving 11 + -2x = 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 + -2x = 0 + -11 Combine like terms: 11 + -11 = 0 0 + -2x = 0 + -11 -2x = 0 + -11 Combine like terms: 0 + -11 = -11 -2x = -11 Divide each side by '-2'. x = 5.5 Simplifying x = 5.5Solution
x = {-0.4166666667, 5.5}
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