0=g^2+20g+19

Solution for 0=g^2+20g+19 equation:

Simplifying
0 = g2 + 20g + 19

Reorder the terms:
0 = 19 + 20g + g2

Solving
0 = 19 + 20g + g2

Solving for variable 'g'.

Combine like terms: 0 + -19 = -19
-19 + -20g + -1g2 = 19 + 20g + g2 + -19 + -20g + -1g2

Reorder the terms:
-19 + -20g + -1g2 = 19 + -19 + 20g + -20g + g2 + -1g2

Combine like terms: 19 + -19 = 0
-19 + -20g + -1g2 = 0 + 20g + -20g + g2 + -1g2
-19 + -20g + -1g2 = 20g + -20g + g2 + -1g2

Combine like terms: 20g + -20g = 0
-19 + -20g + -1g2 = 0 + g2 + -1g2
-19 + -20g + -1g2 = g2 + -1g2

Combine like terms: g2 + -1g2 = 0
-19 + -20g + -1g2 = 0

Factor out the Greatest Common Factor (GCF), '-1'.
-1(19 + 20g + g2) = 0

Factor a trinomial.
-1((19 + g)(1 + g)) = 0

Ignore the factor -1.
Subproblem 1
Set the factor '(19 + g)' equal to zero and attempt to solve:

Simplifying
19 + g = 0

Solving
19 + g = 0

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

Add '-19' to each side of the equation.
19 + -19 + g = 0 + -19

Combine like terms: 19 + -19 = 0
0 + g = 0 + -19
g = 0 + -19

Combine like terms: 0 + -19 = -19
g = -19

Simplifying
g = -19
Subproblem 2
Set the factor '(1 + g)' equal to zero and attempt to solve:

Simplifying
1 + g = 0

Solving
1 + g = 0

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

Add '-1' to each side of the equation.
1 + -1 + g = 0 + -1

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

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

Simplifying
g = -1
Solution
g = {-19, -1}