3n-4mx=3n-2m

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Solution for 3n-4mx=3n-2m equation: 


Simplifying
3n + -4mx = 3n + -2m

Reorder the terms:
-4mx + 3n = 3n + -2m

Reorder the terms:
-4mx + 3n = -2m + 3n

Add '-3n' to each side of the equation.
-4mx + 3n + -3n = -2m + 3n + -3n

Combine like terms: 3n + -3n = 0
-4mx + 0 = -2m + 3n + -3n
-4mx = -2m + 3n + -3n

Combine like terms: 3n + -3n = 0
-4mx = -2m + 0
-4mx = -2m

Solving
-4mx = -2m

Solving for variable 'm'.

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

Add '2m' to each side of the equation.
2m + -4mx = -2m + 2m

Combine like terms: -2m + 2m = 0
2m + -4mx = 0

Factor out the Greatest Common Factor (GCF), '2m'.
2m(1 + -2x) = 0

Ignore the factor 2.

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 '(1 + -2x)' equal to zero and attempt to solve:

Simplifying
1 + -2x = 0

Solving
1 + -2x = 0

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

Add '-1' to each side of the equation.
1 + -1 + -2x = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -2x = 0 + -1
-2x = 0 + -1

Combine like terms: 0 + -1 = -1
-2x = -1

Add '2x' to each side of the equation.
-2x + 2x = -1 + 2x

Combine like terms: -2x + 2x = 0
0 = -1 + 2x

Simplifying
0 = -1 + 2x

The solution to this equation could not be determined.

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

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