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Simplifying X2 + -8X + -36 = 12 Reorder the terms: -36 + -8X + X2 = 12 Solving -36 + -8X + X2 = 12 Solving for variable 'X'. Reorder the terms: -36 + -12 + -8X + X2 = 12 + -12 Combine like terms: -36 + -12 = -48 -48 + -8X + X2 = 12 + -12 Combine like terms: 12 + -12 = 0 -48 + -8X + X2 = 0 Factor a trinomial. (-4 + -1X)(12 + -1X) = 0Subproblem 1
Set the factor '(-4 + -1X)' equal to zero and attempt to solve: Simplifying -4 + -1X = 0 Solving -4 + -1X = 0 Move all terms containing X to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + -1X = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -1X = 0 + 4 -1X = 0 + 4 Combine like terms: 0 + 4 = 4 -1X = 4 Divide each side by '-1'. X = -4 Simplifying X = -4Subproblem 2
Set the factor '(12 + -1X)' equal to zero and attempt to solve: Simplifying 12 + -1X = 0 Solving 12 + -1X = 0 Move all terms containing X to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + -1X = 0 + -12 Combine like terms: 12 + -12 = 0 0 + -1X = 0 + -12 -1X = 0 + -12 Combine like terms: 0 + -12 = -12 -1X = -12 Divide each side by '-1'. X = 12 Simplifying X = 12Solution
X = {-4, 12}
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