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Simplifying 13x2 + 20x + -92 = 0 Reorder the terms: -92 + 20x + 13x2 = 0 Solving -92 + 20x + 13x2 = 0 Solving for variable 'x'. Factor a trinomial. (-46 + -13x)(2 + -1x) = 0Subproblem 1
Set the factor '(-46 + -13x)' equal to zero and attempt to solve: Simplifying -46 + -13x = 0 Solving -46 + -13x = 0 Move all terms containing x to the left, all other terms to the right. Add '46' to each side of the equation. -46 + 46 + -13x = 0 + 46 Combine like terms: -46 + 46 = 0 0 + -13x = 0 + 46 -13x = 0 + 46 Combine like terms: 0 + 46 = 46 -13x = 46 Divide each side by '-13'. x = -3.538461538 Simplifying x = -3.538461538Subproblem 2
Set the factor '(2 + -1x)' equal to zero and attempt to solve: Simplifying 2 + -1x = 0 Solving 2 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -1x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1x = 0 + -2 -1x = 0 + -2 Combine like terms: 0 + -2 = -2 -1x = -2 Divide each side by '-1'. x = 2 Simplifying x = 2Solution
x = {-3.538461538, 2}
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