5[m(3+n)]=

Solution for 5[m(3+n)]= equation:

Simplifying
5[m(3 + n)] = 0
5[(3 * m + n * m)] = 0
5[(3m + mn)] = 0
[3m * 5 + mn * 5] = 0
[15m + 5mn] = 0

Solving
15m + 5mn = 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), '5m'.
5m(3 + n) = 0

Ignore the factor 5.
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 + n)' equal to zero and attempt to solve:

Simplifying
3 + n = 0

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

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

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

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

Combine like terms: n + -1n = 0
0 = -3 + -1n

Simplifying
0 = -3 + -1n

The solution to this equation could not be determined.

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