2xy-4x=3xy

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Solution for 2xy-4x=3xy equation: 


Simplifying
2xy + -4x = 3xy

Reorder the terms:
-4x + 2xy = 3xy

Solving
-4x + 2xy = 3xy

Solving for variable 'x'.

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

Add '-3xy' to each side of the equation.
-4x + 2xy + -3xy = 3xy + -3xy

Combine like terms: 2xy + -3xy = -1xy
-4x + -1xy = 3xy + -3xy

Combine like terms: 3xy + -3xy = 0
-4x + -1xy = 0

Factor out the Greatest Common Factor (GCF), '-1x'.
-1x(4 + y) = 0

Ignore the factor -1.

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 '(4 + y)' equal to zero and attempt to solve:

Simplifying
4 + y = 0

Solving
4 + y = 0

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

Add '-4' to each side of the equation.
4 + -4 + y = 0 + -4

Combine like terms: 4 + -4 = 0
0 + y = 0 + -4
y = 0 + -4

Combine like terms: 0 + -4 = -4
y = -4

Add '-1y' to each side of the equation.
y + -1y = -4 + -1y

Combine like terms: y + -1y = 0
0 = -4 + -1y

Simplifying
0 = -4 + -1y

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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