X=XY+2AX

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Solution for X=XY+2AX equation: 


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) = 0


Subproblem 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 = 0

Subproblem 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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