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Simplifying X2 + -3X + 2 = 3X2 + X + -4 Reorder the terms: 2 + -3X + X2 = 3X2 + X + -4 Reorder the terms: 2 + -3X + X2 = -4 + X + 3X2 Solving 2 + -3X + X2 = -4 + X + 3X2 Solving for variable 'X'. Reorder the terms: 2 + 4 + -3X + -1X + X2 + -3X2 = -4 + X + 3X2 + 4 + -1X + -3X2 Combine like terms: 2 + 4 = 6 6 + -3X + -1X + X2 + -3X2 = -4 + X + 3X2 + 4 + -1X + -3X2 Combine like terms: -3X + -1X = -4X 6 + -4X + X2 + -3X2 = -4 + X + 3X2 + 4 + -1X + -3X2 Combine like terms: X2 + -3X2 = -2X2 6 + -4X + -2X2 = -4 + X + 3X2 + 4 + -1X + -3X2 Reorder the terms: 6 + -4X + -2X2 = -4 + 4 + X + -1X + 3X2 + -3X2 Combine like terms: -4 + 4 = 0 6 + -4X + -2X2 = 0 + X + -1X + 3X2 + -3X2 6 + -4X + -2X2 = X + -1X + 3X2 + -3X2 Combine like terms: X + -1X = 0 6 + -4X + -2X2 = 0 + 3X2 + -3X2 6 + -4X + -2X2 = 3X2 + -3X2 Combine like terms: 3X2 + -3X2 = 0 6 + -4X + -2X2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(3 + -2X + -1X2) = 0 Factor a trinomial. 2((1 + -1X)(3 + X)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(1 + -1X)' equal to zero and attempt to solve: Simplifying 1 + -1X = 0 Solving 1 + -1X = 0 Move all terms containing X to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -1X = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1X = 0 + -1 -1X = 0 + -1 Combine like terms: 0 + -1 = -1 -1X = -1 Divide each side by '-1'. X = 1 Simplifying X = 1Subproblem 2
Set the factor '(3 + X)' equal to zero and attempt to solve: Simplifying 3 + X = 0 Solving 3 + X = 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 + X = 0 + -3 Combine like terms: 3 + -3 = 0 0 + X = 0 + -3 X = 0 + -3 Combine like terms: 0 + -3 = -3 X = -3 Simplifying X = -3Solution
X = {1, -3}
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