(3y-1)m=(2x-1)m

Solution for (3y-1)m=(2x-1)m equation:

Simplifying
(3y + -1) * m = (2x + -1) * m

Reorder the terms:
(-1 + 3y) * m = (2x + -1) * m

Reorder the terms for easier multiplication:
m(-1 + 3y) = (2x + -1) * m
(-1 * m + 3y * m) = (2x + -1) * m
(-1m + 3my) = (2x + -1) * m

Reorder the terms:
-1m + 3my = (-1 + 2x) * m

Reorder the terms for easier multiplication:
-1m + 3my = m(-1 + 2x)
-1m + 3my = (-1 * m + 2x * m)
-1m + 3my = (-1m + 2mx)

Add 'm' to each side of the equation.
-1m + m + 3my = -1m + m + 2mx

Combine like terms: -1m + m = 0
0 + 3my = -1m + m + 2mx
3my = -1m + m + 2mx

Combine like terms: -1m + m = 0
3my = 0 + 2mx
3my = 2mx

Solving
3my = 2mx

Solving for variable 'm'.

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

Add '-2mx' to each side of the equation.
-2mx + 3my = 2mx + -2mx

Combine like terms: 2mx + -2mx = 0
-2mx + 3my = 0

Factor out the Greatest Common Factor (GCF), 'm'.
m(-2x + 3y) = 0

Subproblem 1
Set the factor 'm' equal to zero and attempt to solve:

Simplifying
m = 0

Solving
m = 0

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

Simplifying
m = 0
Subproblem 2
Set the factor '(-2x + 3y)' equal to zero and attempt to solve:

Simplifying
-2x + 3y = 0

Solving
-2x + 3y = 0

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

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

Combine like terms: -2x + 2x = 0
0 + 3y = 0 + 2x
3y = 0 + 2x
Remove the zero:
3y = 2x

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

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

Simplifying
0 = 2x + -3y

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
m = {0}