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Simplifying 13x2 + -41x + -120 = 0 Reorder the terms: -120 + -41x + 13x2 = 0 Solving -120 + -41x + 13x2 = 0 Solving for variable 'x'. Factor a trinomial. (-24 + -13x)(5 + -1x) = 0Subproblem 1
Set the factor '(-24 + -13x)' equal to zero and attempt to solve: Simplifying -24 + -13x = 0 Solving -24 + -13x = 0 Move all terms containing x to the left, all other terms to the right. Add '24' to each side of the equation. -24 + 24 + -13x = 0 + 24 Combine like terms: -24 + 24 = 0 0 + -13x = 0 + 24 -13x = 0 + 24 Combine like terms: 0 + 24 = 24 -13x = 24 Divide each side by '-13'. x = -1.846153846 Simplifying x = -1.846153846Subproblem 2
Set the factor '(5 + -1x)' equal to zero and attempt to solve: Simplifying 5 + -1x = 0 Solving 5 + -1x = 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 + -1x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1x = 0 + -5 -1x = 0 + -5 Combine like terms: 0 + -5 = -5 -1x = -5 Divide each side by '-1'. x = 5 Simplifying x = 5Solution
x = {-1.846153846, 5}
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