3g^2+3g=18

Solution for 3g^2+3g=18 equation:

Simplifying
3g2 + 3g = 18

Reorder the terms:
3g + 3g2 = 18

Solving
3g + 3g2 = 18

Solving for variable 'g'.

Reorder the terms:
-18 + 3g + 3g2 = 18 + -18

Combine like terms: 18 + -18 = 0
-18 + 3g + 3g2 = 0

Factor out the Greatest Common Factor (GCF), '3'.
3(-6 + g + g2) = 0

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

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

Simplifying
-3 + -1g = 0

Solving
-3 + -1g = 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 + -1g = 0 + 3

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

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

Divide each side by '-1'.
g = -3

Simplifying
g = -3
Subproblem 2
Set the factor '(2 + -1g)' equal to zero and attempt to solve:

Simplifying
2 + -1g = 0

Solving
2 + -1g = 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 + -1g = 0 + -2

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

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

Divide each side by '-1'.
g = 2

Simplifying
g = 2
Solution
g = {-3, 2}