18=g^2+3g

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

Simplifying
18 = g2 + 3g

Reorder the terms:
18 = 3g + g2

Solving
18 = 3g + g2

Solving for variable 'g'.

Reorder the terms:
18 + -3g + -1g2 = 3g + -3g + g2 + -1g2

Combine like terms: 3g + -3g = 0
18 + -3g + -1g2 = 0 + g2 + -1g2
18 + -3g + -1g2 = g2 + -1g2

Combine like terms: g2 + -1g2 = 0
18 + -3g + -1g2 = 0

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

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 '(6 + g)' equal to zero and attempt to solve:

Simplifying
6 + g = 0

Solving
6 + g = 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 + g = 0 + -6

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

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

Simplifying
g = -6
Solution
g = {3, -6}