(3x-1.2)m=(2x+1.8)m

Solution for (3x-1.2)m=(2x+1.8)m equation:

Simplifying
(3x + -1.2) * m = (2x + 1.8) * m

Reorder the terms:
(-1.2 + 3x) * m = (2x + 1.8) * m

Reorder the terms for easier multiplication:
m(-1.2 + 3x) = (2x + 1.8) * m
(-1.2 * m + 3x * m) = (2x + 1.8) * m
(-1.2m + 3mx) = (2x + 1.8) * m

Reorder the terms:
-1.2m + 3mx = (1.8 + 2x) * m

Reorder the terms for easier multiplication:
-1.2m + 3mx = m(1.8 + 2x)
-1.2m + 3mx = (1.8 * m + 2x * m)
-1.2m + 3mx = (1.8m + 2mx)

Solving
-1.2m + 3mx = 1.8m + 2mx

Solving for variable 'm'.

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

Add '-1.8m' to each side of the equation.
-1.2m + -1.8m + 3mx = 1.8m + -1.8m + 2mx

Combine like terms: -1.2m + -1.8m = -3m
-3m + 3mx = 1.8m + -1.8m + 2mx

Combine like terms: 1.8m + -1.8m = 0.0
-3m + 3mx = 0.0 + 2mx
-3m + 3mx = 2mx

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

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

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

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

Simplifying
-3 + x = 0

Solving
-3 + x = 0

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

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

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

Combine like terms: 0 + 3 = 3
x = 3

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

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

Simplifying
0 = 3 + -1x

The solution to this equation could not be determined.

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