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Simplifying 2x2 + -13x + -115 = 0 Reorder the terms: -115 + -13x + 2x2 = 0 Solving -115 + -13x + 2x2 = 0 Solving for variable 'x'. Factor a trinomial. (-5 + -1x)(23 + -2x) = 0Subproblem 1
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 = -5Subproblem 2
Set the factor '(23 + -2x)' equal to zero and attempt to solve: Simplifying 23 + -2x = 0 Solving 23 + -2x = 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 + -2x = 0 + -23 Combine like terms: 23 + -23 = 0 0 + -2x = 0 + -23 -2x = 0 + -23 Combine like terms: 0 + -23 = -23 -2x = -23 Divide each side by '-2'. x = 11.5 Simplifying x = 11.5Solution
x = {-5, 11.5}
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