7g(-3h+1)=0

Solution for 7g(-3h+1)=0 equation:

Simplifying
7g(-3h + 1) = 0

Reorder the terms:
7g(1 + -3h) = 0
(1 * 7g + -3h * 7g) = 0
(7g + -21gh) = 0

Solving
7g + -21gh = 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), '7g'.
7g(1 + -3h) = 0

Ignore the factor 7.
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 + -3h)' equal to zero and attempt to solve:

Simplifying
1 + -3h = 0

Solving
1 + -3h = 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 + -3h = 0 + -1

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

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

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

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

Simplifying
0 = -1 + 3h

The solution to this equation could not be determined.

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