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.
(1 + -1g)(23 + -1g) = 0

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

Simplifying
1 + -1g = 0

Solving
1 + -1g = 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 + -1g = 0 + -1

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

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

Divide each side by '-1'.
g = 1

Simplifying
g = 1
Subproblem 2
Set the factor '(23 + -1g)' equal to zero and attempt to solve:

Simplifying
23 + -1g = 0

Solving
23 + -1g = 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 + -1g = 0 + -23

Combine like terms: 23 + -23 = 0
0 + -1g = 0 + -23
-1g = 0 + -23

Combine like terms: 0 + -23 = -23
-1g = -23

Divide each side by '-1'.
g = 23

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