2xy*3xy=6xy

Solution for 2xy*3xy=6xy equation:

Simplifying
2xy * 3xy = 6xy

Reorder the terms for easier multiplication:
2 * 3xy * xy = 6xy

Multiply 2 * 3
6xy * xy = 6xy

Multiply xy * xy
6x2y2 = 6xy

Solving
6x2y2 = 6xy

Solving for variable 'x'.

Reorder the terms:
-6xy + 6x2y2 = 6xy + -6xy

Combine like terms: 6xy + -6xy = 0
-6xy + 6x2y2 = 0

Factor out the Greatest Common Factor (GCF), '6xy'.
6xy(-1 + xy) = 0

Ignore the factor 6.
Subproblem 1
Set the factor 'xy' equal to zero and attempt to solve:

Simplifying
xy = 0

Solving
xy = 0

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

Simplifying
xy = 0

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Subproblem 2
Set the factor '(-1 + xy)' equal to zero and attempt to solve:

Simplifying
-1 + xy = 0

Solving
-1 + xy = 0

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

Add '1' to each side of the equation.
-1 + 1 + xy = 0 + 1

Combine like terms: -1 + 1 = 0
0 + xy = 0 + 1
xy = 0 + 1

Combine like terms: 0 + 1 = 1
xy = 1

Divide each side by 'y'.
x = y-1

Simplifying
x = y-1
Solution
x = {y-1}