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Simplifying x2 + -5x + -115 = 11 Reorder the terms: -115 + -5x + x2 = 11 Solving -115 + -5x + x2 = 11 Solving for variable 'x'. Reorder the terms: -115 + -11 + -5x + x2 = 11 + -11 Combine like terms: -115 + -11 = -126 -126 + -5x + x2 = 11 + -11 Combine like terms: 11 + -11 = 0 -126 + -5x + x2 = 0 Factor a trinomial. (-9 + -1x)(14 + -1x) = 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 '(14 + -1x)' equal to zero and attempt to solve: Simplifying 14 + -1x = 0 Solving 14 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + -1x = 0 + -14 Combine like terms: 14 + -14 = 0 0 + -1x = 0 + -14 -1x = 0 + -14 Combine like terms: 0 + -14 = -14 -1x = -14 Divide each side by '-1'. x = 14 Simplifying x = 14Solution
x = {-9, 14}
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