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Simplifying X = XY + 2AX Reorder the terms: X = 2AX + XY Solving X = 2AX + XY Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-2AX' to each side of the equation. -2AX + X = 2AX + -2AX + XY Combine like terms: 2AX + -2AX = 0 -2AX + X = 0 + XY -2AX + X = XY Add '-1XY' to each side of the equation. -2AX + X + -1XY = XY + -1XY Combine like terms: XY + -1XY = 0 -2AX + X + -1XY = 0 Factor out the Greatest Common Factor (GCF), 'X'. X(-2A + 1 + -1Y) = 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 '(-2A + 1 + -1Y)' equal to zero and attempt to solve: Simplifying -2A + 1 + -1Y = 0 Reorder the terms: 1 + -2A + -1Y = 0 Solving 1 + -2A + -1Y = 0 Move all terms containing X to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -2A + -1 + -1Y = 0 + -1 Reorder the terms: 1 + -1 + -2A + -1Y = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -2A + -1Y = 0 + -1 -2A + -1Y = 0 + -1 Combine like terms: 0 + -1 = -1 -2A + -1Y = -1 Add '2A' to each side of the equation. -2A + 2A + -1Y = -1 + 2A Combine like terms: -2A + 2A = 0 0 + -1Y = -1 + 2A -1Y = -1 + 2A Add 'Y' to each side of the equation. -1Y + Y = -1 + 2A + Y Combine like terms: -1Y + Y = 0 0 = -1 + 2A + Y Simplifying 0 = -1 + 2A + Y The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Solution
X = {0}
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