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Simplifying X2 + -3X = 3X2 + -4X Reorder the terms: -3X + X2 = 3X2 + -4X Reorder the terms: -3X + X2 = -4X + 3X2 Solving -3X + X2 = -4X + 3X2 Solving for variable 'X'. Reorder the terms: -3X + 4X + X2 + -3X2 = -4X + 3X2 + 4X + -3X2 Combine like terms: -3X + 4X = 1X 1X + X2 + -3X2 = -4X + 3X2 + 4X + -3X2 Combine like terms: X2 + -3X2 = -2X2 1X + -2X2 = -4X + 3X2 + 4X + -3X2 Reorder the terms: 1X + -2X2 = -4X + 4X + 3X2 + -3X2 Combine like terms: -4X + 4X = 0 1X + -2X2 = 0 + 3X2 + -3X2 1X + -2X2 = 3X2 + -3X2 Combine like terms: 3X2 + -3X2 = 0 1X + -2X2 = 0 Factor out the Greatest Common Factor (GCF), 'X'. X(1 + -2X) = 0Subproblem 1
Set the factor 'X' equal to zero and attempt to solve: Simplifying X = 0 Solving X = 0 Move all terms containing X to the left, all other terms to the right. Simplifying X = 0Subproblem 2
Set the factor '(1 + -2X)' equal to zero and attempt to solve: Simplifying 1 + -2X = 0 Solving 1 + -2X = 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 + -2X = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -2X = 0 + -1 -2X = 0 + -1 Combine like terms: 0 + -1 = -1 -2X = -1 Divide each side by '-2'. X = 0.5 Simplifying X = 0.5Solution
X = {0, 0.5}
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