m+gh+g=m

Solution for m+gh+g=m equation:

Simplifying
m + gh + g = m

Reorder the terms:
g + gh + m = m

Add '-1m' to each side of the equation.
g + gh + m + -1m = m + -1m

Combine like terms: m + -1m = 0
g + gh + 0 = m + -1m
g + gh = m + -1m

Combine like terms: m + -1m = 0
g + gh = 0

Solving
g + gh = 0

Solving for variable 'g'.

Move all terms containing g to the left, all other terms to the right.

Factor out the Greatest Common Factor (GCF), 'g'.
g(1 + h) = 0

Subproblem 1
Set the factor 'g' equal to zero and attempt to solve:

Simplifying
g = 0

Solving
g = 0

Move all terms containing g to the left, all other terms to the right.

Simplifying
g = 0
Subproblem 2
Set the factor '(1 + h)' equal to zero and attempt to solve:

Simplifying
1 + h = 0

Solving
1 + h = 0

Move all terms containing g to the left, all other terms to the right.

Add '-1' to each side of the equation.
1 + -1 + h = 0 + -1

Combine like terms: 1 + -1 = 0
0 + h = 0 + -1
h = 0 + -1

Combine like terms: 0 + -1 = -1
h = -1

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

Combine like terms: h + -1h = 0
0 = -1 + -1h

Simplifying
0 = -1 + -1h

The solution to this equation could not be determined.

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