2(xy+2x)-3xy=0

Solution for 2(xy+2x)-3xy=0 equation:

Simplifying
2(xy + 2x) + -3xy = 0

Reorder the terms:
2(2x + xy) + -3xy = 0
(2x * 2 + xy * 2) + -3xy = 0
(4x + 2xy) + -3xy = 0

Combine like terms: 2xy + -3xy = -1xy
4x + -1xy = 0

Solving
4x + -1xy = 0

Solving for variable 'x'.

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

Factor out the Greatest Common Factor (GCF), 'x'.
x(4 + -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 '(4 + -1y)' equal to zero and attempt to solve:

Simplifying
4 + -1y = 0

Solving
4 + -1y = 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 + -1y = 0 + -4

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

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

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

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

Simplifying
0 = -4 + 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}