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Simplifying x2 + 8x + -26880 = 0 Reorder the terms: -26880 + 8x + x2 = 0 Solving -26880 + 8x + x2 = 0 Solving for variable 'x'. Factor a trinomial. (-168 + -1x)(160 + -1x) = 0Subproblem 1
Set the factor '(-168 + -1x)' equal to zero and attempt to solve: Simplifying -168 + -1x = 0 Solving -168 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '168' to each side of the equation. -168 + 168 + -1x = 0 + 168 Combine like terms: -168 + 168 = 0 0 + -1x = 0 + 168 -1x = 0 + 168 Combine like terms: 0 + 168 = 168 -1x = 168 Divide each side by '-1'. x = -168 Simplifying x = -168Subproblem 2
Set the factor '(160 + -1x)' equal to zero and attempt to solve: Simplifying 160 + -1x = 0 Solving 160 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-160' to each side of the equation. 160 + -160 + -1x = 0 + -160 Combine like terms: 160 + -160 = 0 0 + -1x = 0 + -160 -1x = 0 + -160 Combine like terms: 0 + -160 = -160 -1x = -160 Divide each side by '-1'. x = 160 Simplifying x = 160Solution
x = {-168, 160}
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