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Simplifying x2 + -12x = 3808 Reorder the terms: -12x + x2 = 3808 Solving -12x + x2 = 3808 Solving for variable 'x'. Reorder the terms: -3808 + -12x + x2 = 3808 + -3808 Combine like terms: 3808 + -3808 = 0 -3808 + -12x + x2 = 0 Factor a trinomial. (-56 + -1x)(68 + -1x) = 0Subproblem 1
Set the factor '(-56 + -1x)' equal to zero and attempt to solve: Simplifying -56 + -1x = 0 Solving -56 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '56' to each side of the equation. -56 + 56 + -1x = 0 + 56 Combine like terms: -56 + 56 = 0 0 + -1x = 0 + 56 -1x = 0 + 56 Combine like terms: 0 + 56 = 56 -1x = 56 Divide each side by '-1'. x = -56 Simplifying x = -56Subproblem 2
Set the factor '(68 + -1x)' equal to zero and attempt to solve: Simplifying 68 + -1x = 0 Solving 68 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-68' to each side of the equation. 68 + -68 + -1x = 0 + -68 Combine like terms: 68 + -68 = 0 0 + -1x = 0 + -68 -1x = 0 + -68 Combine like terms: 0 + -68 = -68 -1x = -68 Divide each side by '-1'. x = 68 Simplifying x = 68Solution
x = {-56, 68}
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