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Simplifying x2 + 2x + -107 = -8 Reorder the terms: -107 + 2x + x2 = -8 Solving -107 + 2x + x2 = -8 Solving for variable 'x'. Reorder the terms: -107 + 8 + 2x + x2 = -8 + 8 Combine like terms: -107 + 8 = -99 -99 + 2x + x2 = -8 + 8 Combine like terms: -8 + 8 = 0 -99 + 2x + x2 = 0 Factor a trinomial. (-11 + -1x)(9 + -1x) = 0Subproblem 1
Set the factor '(-11 + -1x)' equal to zero and attempt to solve: Simplifying -11 + -1x = 0 Solving -11 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '11' to each side of the equation. -11 + 11 + -1x = 0 + 11 Combine like terms: -11 + 11 = 0 0 + -1x = 0 + 11 -1x = 0 + 11 Combine like terms: 0 + 11 = 11 -1x = 11 Divide each side by '-1'. x = -11 Simplifying x = -11Subproblem 2
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 = 9Solution
x = {-11, 9}
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