3x=2xy+xfory

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Solution for 3x=2xy+xfory equation: 


Simplifying
3x = 2xy + xfory

Reorder the terms:
3x = forxy + 2xy

Solving
3x = forxy + 2xy

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-1forxy' to each side of the equation.
-1forxy + 3x = forxy + -1forxy + 2xy

Combine like terms: forxy + -1forxy = 0
-1forxy + 3x = 0 + 2xy
-1forxy + 3x = 2xy

Add '-2xy' to each side of the equation.
-1forxy + 3x + -2xy = 2xy + -2xy

Combine like terms: 2xy + -2xy = 0
-1forxy + 3x + -2xy = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(-1fory + 3 + -2y) = 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 '(-1fory + 3 + -2y)' equal to zero and attempt to solve:

Simplifying
-1fory + 3 + -2y = 0

Reorder the terms:
3 + -1fory + -2y = 0

Solving
3 + -1fory + -2y = 0

Move all terms containing x to the left, all other terms to the right.

Add '-3' to each side of the equation.
3 + -1fory + -3 + -2y = 0 + -3

Reorder the terms:
3 + -3 + -1fory + -2y = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -1fory + -2y = 0 + -3
-1fory + -2y = 0 + -3

Combine like terms: 0 + -3 = -3
-1fory + -2y = -3

Add 'fory' to each side of the equation.
-1fory + fory + -2y = -3 + fory

Combine like terms: -1fory + fory = 0
0 + -2y = -3 + fory
-2y = -3 + fory

Add '2y' to each side of the equation.
-2y + 2y = -3 + fory + 2y

Combine like terms: -2y + 2y = 0
0 = -3 + fory + 2y

Simplifying
0 = -3 + fory + 2y

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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