5m-3mn-7m+6mn+mn=

Solution for 5m-3mn-7m+6mn+mn= equation:

Simplifying
5m + -3mn + -7m + 6mn + mn = 0

Reorder the terms:
5m + -7m + -3mn + 6mn + mn = 0

Combine like terms: 5m + -7m = -2m
-2m + -3mn + 6mn + mn = 0

Combine like terms: -3mn + 6mn = 3mn
-2m + 3mn + mn = 0

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

Solving
-2m + 4mn = 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(-1 + 2n) = 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 + 2n)' equal to zero and attempt to solve:

Simplifying
-1 + 2n = 0

Solving
-1 + 2n = 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 + 2n = 0 + 1

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

Combine like terms: 0 + 1 = 1
2n = 1

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

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

Simplifying
0 = 1 + -2n

The solution to this equation could not be determined.

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