3g(2g+3)=

Solution for 3g(2g+3)= equation:

Simplifying
3g(2g + 3) = 0

Reorder the terms:
3g(3 + 2g) = 0
(3 * 3g + 2g * 3g) = 0
(9g + 6g2) = 0

Solving
9g + 6g2 = 0

Solving for variable 'g'.

Factor out the Greatest Common Factor (GCF), '3g'.
3g(3 + 2g) = 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 '(3 + 2g)' equal to zero and attempt to solve:

Simplifying
3 + 2g = 0

Solving
3 + 2g = 0

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

Add '-3' to each side of the equation.
3 + -3 + 2g = 0 + -3

Combine like terms: 3 + -3 = 0
0 + 2g = 0 + -3
2g = 0 + -3

Combine like terms: 0 + -3 = -3
2g = -3

Divide each side by '2'.
g = -1.5

Simplifying
g = -1.5
Solution
g = {0, -1.5}