5mn+2mn+m=

Solution for 5mn+2mn+m= equation:

Simplifying
5mn + 2mn + m = 0

Reorder the terms:
m + 5mn + 2mn = 0

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

Solving
m + 7mn = 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(1 + 7n) = 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 '(1 + 7n)' equal to zero and attempt to solve:

Simplifying
1 + 7n = 0

Solving
1 + 7n = 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 + 7n = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 7n = 0 + -1
7n = 0 + -1

Combine like terms: 0 + -1 = -1
7n = -1

Add '-7n' to each side of the equation.
7n + -7n = -1 + -7n

Combine like terms: 7n + -7n = 0
0 = -1 + -7n

Simplifying
0 = -1 + -7n

The solution to this equation could not be determined.

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