M(7m+3)=0

Solution for M(7m+3)=0 equation:

Simplifying
M(7m + 3) = 0

Reorder the terms:
M(3 + 7m) = 0
(3 * M + 7m * M) = 0
(3M + 7mM) = 0

Solving
3M + 7mM = 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 + 7m) = 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 + 7m)' equal to zero and attempt to solve:

Simplifying
3 + 7m = 0

Solving
3 + 7m = 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 + 7m = 0 + -3

Combine like terms: 3 + -3 = 0
0 + 7m = 0 + -3
7m = 0 + -3

Combine like terms: 0 + -3 = -3
7m = -3

Add '-7m' to each side of the equation.
7m + -7m = -3 + -7m

Combine like terms: 7m + -7m = 0
0 = -3 + -7m

Simplifying
0 = -3 + -7m

The solution to this equation could not be determined.

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