3m+m(u-v)=

Solution for 3m+m(u-v)= equation:

Simplifying
3m + m(u + -1v) = 0
3m + (u * m + -1v * m) = 0
3m + (mu + -1mv) = 0

Solving
3m + mu + -1mv = 0

Solving for variable 'm'.

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

Factor out the Greatest Common Factor (GCF), 'm'.
m(3 + u + -1v) = 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 + u + -1v)' equal to zero and attempt to solve:

Simplifying
3 + u + -1v = 0

Solving
3 + u + -1v = 0

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

Add '-3' to each side of the equation.
3 + u + -3 + -1v = 0 + -3

Reorder the terms:
3 + -3 + u + -1v = 0 + -3

Combine like terms: 3 + -3 = 0
0 + u + -1v = 0 + -3
u + -1v = 0 + -3

Combine like terms: 0 + -3 = -3
u + -1v = -3

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

Combine like terms: u + -1u = 0
0 + -1v = -3 + -1u
-1v = -3 + -1u

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

Combine like terms: -1v + v = 0
0 = -3 + -1u + v

Simplifying
0 = -3 + -1u + v

The solution to this equation could not be determined.

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