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Simplifying x2 + -12x + -8064 = 0 Reorder the terms: -8064 + -12x + x2 = 0 Solving -8064 + -12x + x2 = 0 Solving for variable 'x'. Factor a trinomial. (-84 + -1x)(96 + -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 '(96 + -1x)' equal to zero and attempt to solve: Simplifying 96 + -1x = 0 Solving 96 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-96' to each side of the equation. 96 + -96 + -1x = 0 + -96 Combine like terms: 96 + -96 = 0 0 + -1x = 0 + -96 -1x = 0 + -96 Combine like terms: 0 + -96 = -96 -1x = -96 Divide each side by '-1'. x = 96 Simplifying x = 96Solution
x = {-84, 96}
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