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Simplifying x2 + -18x + -8568 = 0 Reorder the terms: -8568 + -18x + x2 = 0 Solving -8568 + -18x + x2 = 0 Solving for variable 'x'. Factor a trinomial. (-84 + -1x)(102 + -1x) = 0Subproblem 1
Set the factor '(-84 + -1x)' equal to zero and attempt to solve: Simplifying -84 + -1x = 0 Solving -84 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '84' to each side of the equation. -84 + 84 + -1x = 0 + 84 Combine like terms: -84 + 84 = 0 0 + -1x = 0 + 84 -1x = 0 + 84 Combine like terms: 0 + 84 = 84 -1x = 84 Divide each side by '-1'. x = -84 Simplifying x = -84Subproblem 2
Set the factor '(102 + -1x)' equal to zero and attempt to solve: Simplifying 102 + -1x = 0 Solving 102 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-102' to each side of the equation. 102 + -102 + -1x = 0 + -102 Combine like terms: 102 + -102 = 0 0 + -1x = 0 + -102 -1x = 0 + -102 Combine like terms: 0 + -102 = -102 -1x = -102 Divide each side by '-1'. x = 102 Simplifying x = 102Solution
x = {-84, 102}
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