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Simplifying x(x + -12) = 8064 Reorder the terms: x(-12 + x) = 8064 (-12 * x + x * x) = 8064 (-12x + x2) = 8064 Solving -12x + x2 = 8064 Solving for variable 'x'. Reorder the terms: -8064 + -12x + x2 = 8064 + -8064 Combine like terms: 8064 + -8064 = 0 -8064 + -12x + x2 = 0 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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