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Simplifying x2 + -11x + -8712 = 0 Reorder the terms: -8712 + -11x + x2 = 0 Solving -8712 + -11x + x2 = 0 Solving for variable 'x'. Factor a trinomial. (-88 + -1x)(99 + -1x) = 0Subproblem 1
Set the factor '(-88 + -1x)' equal to zero and attempt to solve: Simplifying -88 + -1x = 0 Solving -88 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '88' to each side of the equation. -88 + 88 + -1x = 0 + 88 Combine like terms: -88 + 88 = 0 0 + -1x = 0 + 88 -1x = 0 + 88 Combine like terms: 0 + 88 = 88 -1x = 88 Divide each side by '-1'. x = -88 Simplifying x = -88Subproblem 2
Set the factor '(99 + -1x)' equal to zero and attempt to solve: Simplifying 99 + -1x = 0 Solving 99 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-99' to each side of the equation. 99 + -99 + -1x = 0 + -99 Combine like terms: 99 + -99 = 0 0 + -1x = 0 + -99 -1x = 0 + -99 Combine like terms: 0 + -99 = -99 -1x = -99 Divide each side by '-1'. x = 99 Simplifying x = 99Solution
x = {-88, 99}
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