G(6-g)(6+3g)=0

Solution for G(6-g)(6+3g)=0 equation:

Simplifying
G(6 + -1g)(6 + 3g) = 0

Multiply (6 + -1g) * (6 + 3g)
G(6(6 + 3g) + -1g * (6 + 3g)) = 0
G((6 * 6 + 3g * 6) + -1g * (6 + 3g)) = 0
G((36 + 18g) + -1g * (6 + 3g)) = 0
G(36 + 18g + (6 * -1g + 3g * -1g)) = 0
G(36 + 18g + (-6g + -3g2)) = 0

Combine like terms: 18g + -6g = 12g
G(36 + 12g + -3g2) = 0
(36 * G + 12g * G + -3g2 * G) = 0
(36G + 12gG + -3g2G) = 0

Solving
36G + 12gG + -3g2G = 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), '3G'.
3G(12 + 4g + -1g2) = 0

Factor a trinomial.
3G((6 + -1g)(2 + g)) = 0

Ignore the factor 3.
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 '(6 + -1g)' equal to zero and attempt to solve:

Simplifying
6 + -1g = 0

Solving
6 + -1g = 0

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

Add '-6' to each side of the equation.
6 + -6 + -1g = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -1g = 0 + -6
-1g = 0 + -6

Combine like terms: 0 + -6 = -6
-1g = -6

Add 'g' to each side of the equation.
-1g + g = -6 + g

Combine like terms: -1g + g = 0
0 = -6 + g

Simplifying
0 = -6 + g

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Subproblem 3
Set the factor '(2 + g)' equal to zero and attempt to solve:

Simplifying
2 + g = 0

Solving
2 + g = 0

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

Add '-2' to each side of the equation.
2 + -2 + g = 0 + -2

Combine like terms: 2 + -2 = 0
0 + g = 0 + -2
g = 0 + -2

Combine like terms: 0 + -2 = -2
g = -2

Add '-1g' to each side of the equation.
g + -1g = -2 + -1g

Combine like terms: g + -1g = 0
0 = -2 + -1g

Simplifying
0 = -2 + -1g

The solution to this equation could not be determined.

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