k^2+23k+42=0

Solution for k^2+23k+42=0 equation:

Simplifying
k2 + 23k + 42 = 0

Reorder the terms:
42 + 23k + k2 = 0

Solving
42 + 23k + k2 = 0

Solving for variable 'k'.

Factor a trinomial.
(21 + k)(2 + k) = 0

Subproblem 1
Set the factor '(21 + k)' equal to zero and attempt to solve:

Simplifying
21 + k = 0

Solving
21 + k = 0

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

Add '-21' to each side of the equation.
21 + -21 + k = 0 + -21

Combine like terms: 21 + -21 = 0
0 + k = 0 + -21
k = 0 + -21

Combine like terms: 0 + -21 = -21
k = -21

Simplifying
k = -21
Subproblem 2
Set the factor '(2 + k)' equal to zero and attempt to solve:

Simplifying
2 + k = 0

Solving
2 + k = 0

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

Add '-2' to each side of the equation.
2 + -2 + k = 0 + -2

Combine like terms: 2 + -2 = 0
0 + k = 0 + -2
k = 0 + -2

Combine like terms: 0 + -2 = -2
k = -2

Simplifying
k = -2
Solution
k = {-21, -2}