18g^2+81g+90=0

Solution for 18g^2+81g+90=0 equation:

Simplifying
18g2 + 81g + 90 = 0

Reorder the terms:
90 + 81g + 18g2 = 0

Solving
90 + 81g + 18g2 = 0

Solving for variable 'g'.

Factor out the Greatest Common Factor (GCF), '9'.
9(10 + 9g + 2g2) = 0

Factor a trinomial.
9((5 + 2g)(2 + g)) = 0

Ignore the factor 9.
Subproblem 1
Set the factor '(5 + 2g)' equal to zero and attempt to solve:

Simplifying
5 + 2g = 0

Solving
5 + 2g = 0

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

Add '-5' to each side of the equation.
5 + -5 + 2g = 0 + -5

Combine like terms: 5 + -5 = 0
0 + 2g = 0 + -5
2g = 0 + -5

Combine like terms: 0 + -5 = -5
2g = -5

Divide each side by '2'.
g = -2.5

Simplifying
g = -2.5
Subproblem 2
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

Simplifying
g = -2
Solution
g = {-2.5, -2}