k^2-24k+23=0

Solution for k^2-24k+23=0 equation:

Simplifying
k2 + -24k + 23 = 0

Reorder the terms:
23 + -24k + k2 = 0

Solving
23 + -24k + k2 = 0

Solving for variable 'k'.

Factor a trinomial.
(1 + -1k)(23 + -1k) = 0

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

Simplifying
1 + -1k = 0

Solving
1 + -1k = 0

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

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

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

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

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

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

Simplifying
23 + -1k = 0

Solving
23 + -1k = 0

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

Add '-23' to each side of the equation.
23 + -23 + -1k = 0 + -23

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

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

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

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