g^2+24g+23=0

Solution for g^2+24g+23=0 equation:

Simplifying
g2 + 24g + 23 = 0

Reorder the terms:
23 + 24g + g2 = 0

Solving
23 + 24g + g2 = 0

Solving for variable 'g'.

Factor a trinomial.
(23 + g)(1 + g) = 0

Subproblem 1
Set the factor '(23 + g)' equal to zero and attempt to solve:

Simplifying
23 + g = 0

Solving
23 + g = 0

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

Add '-23' to each side of the equation.
23 + -23 + g = 0 + -23

Combine like terms: 23 + -23 = 0
0 + g = 0 + -23
g = 0 + -23

Combine like terms: 0 + -23 = -23
g = -23

Simplifying
g = -23
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 = {-23, -1}