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Simplifying X2 + -4X + -94 = 2 Reorder the terms: -94 + -4X + X2 = 2 Solving -94 + -4X + X2 = 2 Solving for variable 'X'. Reorder the terms: -94 + -2 + -4X + X2 = 2 + -2 Combine like terms: -94 + -2 = -96 -96 + -4X + X2 = 2 + -2 Combine like terms: 2 + -2 = 0 -96 + -4X + X2 = 0 Factor a trinomial. (-8 + -1X)(12 + -1X) = 0Subproblem 1
Set the factor '(-8 + -1X)' equal to zero and attempt to solve: Simplifying -8 + -1X = 0 Solving -8 + -1X = 0 Move all terms containing X to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + -1X = 0 + 8 Combine like terms: -8 + 8 = 0 0 + -1X = 0 + 8 -1X = 0 + 8 Combine like terms: 0 + 8 = 8 -1X = 8 Divide each side by '-1'. X = -8 Simplifying X = -8Subproblem 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 = {-8, 12}
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