k^2+24k+23=

Solution for k^2+24k+23= 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.
(23 + k)(1 + k) = 0

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

Simplifying
23 + k = 0

Solving
23 + k = 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 + k = 0 + -23

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

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

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

Simplifying
1 + k = 0

Solving
1 + k = 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 + k = 0 + -1

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

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

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