3mn+6m+7mn=

Solution for 3mn+6m+7mn= equation:

Simplifying
3mn + 6m + 7mn = 0

Reorder the terms:
6m + 3mn + 7mn = 0

Combine like terms: 3mn + 7mn = 10mn
6m + 10mn = 0

Solving
6m + 10mn = 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), '2m'.
2m(3 + 5n) = 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 '(3 + 5n)' equal to zero and attempt to solve:

Simplifying
3 + 5n = 0

Solving
3 + 5n = 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 + 5n = 0 + -3

Combine like terms: 3 + -3 = 0
0 + 5n = 0 + -3
5n = 0 + -3

Combine like terms: 0 + -3 = -3
5n = -3

Add '-5n' to each side of the equation.
5n + -5n = -3 + -5n

Combine like terms: 5n + -5n = 0
0 = -3 + -5n

Simplifying
0 = -3 + -5n

The solution to this equation could not be determined.

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