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Simplifying X2 + -3X = -4X + 12 Reorder the terms: -3X + X2 = -4X + 12 Reorder the terms: -3X + X2 = 12 + -4X Solving -3X + X2 = 12 + -4X Solving for variable 'X'. Reorder the terms: -12 + -3X + 4X + X2 = 12 + -4X + -12 + 4X Combine like terms: -3X + 4X = 1X -12 + 1X + X2 = 12 + -4X + -12 + 4X Reorder the terms: -12 + 1X + X2 = 12 + -12 + -4X + 4X Combine like terms: 12 + -12 = 0 -12 + 1X + X2 = 0 + -4X + 4X -12 + 1X + X2 = -4X + 4X Combine like terms: -4X + 4X = 0 -12 + 1X + X2 = 0 Factor a trinomial. (-4 + -1X)(3 + -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 '(3 + -1X)' equal to zero and attempt to solve: Simplifying 3 + -1X = 0 Solving 3 + -1X = 0 Move all terms containing X to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -1X = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1X = 0 + -3 -1X = 0 + -3 Combine like terms: 0 + -3 = -3 -1X = -3 Divide each side by '-1'. X = 3 Simplifying X = 3Solution
X = {-4, 3}
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