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Simplifying 2x2 + -13x + -279 = 0 Reorder the terms: -279 + -13x + 2x2 = 0 Solving -279 + -13x + 2x2 = 0 Solving for variable 'x'. Factor a trinomial. (-9 + -1x)(31 + -2x) = 0Subproblem 1
Set the factor '(-9 + -1x)' equal to zero and attempt to solve: Simplifying -9 + -1x = 0 Solving -9 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + -1x = 0 + 9 Combine like terms: -9 + 9 = 0 0 + -1x = 0 + 9 -1x = 0 + 9 Combine like terms: 0 + 9 = 9 -1x = 9 Divide each side by '-1'. x = -9 Simplifying x = -9Subproblem 2
Set the factor '(31 + -2x)' equal to zero and attempt to solve: Simplifying 31 + -2x = 0 Solving 31 + -2x = 0 Move all terms containing x to the left, all other terms to the right. Add '-31' to each side of the equation. 31 + -31 + -2x = 0 + -31 Combine like terms: 31 + -31 = 0 0 + -2x = 0 + -31 -2x = 0 + -31 Combine like terms: 0 + -31 = -31 -2x = -31 Divide each side by '-2'. x = 15.5 Simplifying x = 15.5Solution
x = {-9, 15.5}
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