g^2+12g+20=0

Solution for g^2+12g+20=0 equation:

Simplifying
g2 + 12g + 20 = 0

Reorder the terms:
20 + 12g + g2 = 0

Solving
20 + 12g + g2 = 0

Solving for variable 'g'.

Factor a trinomial.
(10 + g)(2 + g) = 0

Subproblem 1
Set the factor '(10 + g)' equal to zero and attempt to solve:

Simplifying
10 + g = 0

Solving
10 + g = 0

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

Add '-10' to each side of the equation.
10 + -10 + g = 0 + -10

Combine like terms: 10 + -10 = 0
0 + g = 0 + -10
g = 0 + -10

Combine like terms: 0 + -10 = -10
g = -10

Simplifying
g = -10
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 = {-10, -2}