k^2-11k-42=0

Solution for k^2-11k-42=0 equation:

Simplifying
k2 + -11k + -42 = 0

Reorder the terms:
-42 + -11k + k2 = 0

Solving
-42 + -11k + k2 = 0

Solving for variable 'k'.

Factor a trinomial.
(-3 + -1k)(14 + -1k) = 0

Subproblem 1
Set the factor '(-3 + -1k)' equal to zero and attempt to solve:

Simplifying
-3 + -1k = 0

Solving
-3 + -1k = 0

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

Add '3' to each side of the equation.
-3 + 3 + -1k = 0 + 3

Combine like terms: -3 + 3 = 0
0 + -1k = 0 + 3
-1k = 0 + 3

Combine like terms: 0 + 3 = 3
-1k = 3

Divide each side by '-1'.
k = -3

Simplifying
k = -3
Subproblem 2
Set the factor '(14 + -1k)' equal to zero and attempt to solve:

Simplifying
14 + -1k = 0

Solving
14 + -1k = 0

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

Add '-14' to each side of the equation.
14 + -14 + -1k = 0 + -14

Combine like terms: 14 + -14 = 0
0 + -1k = 0 + -14
-1k = 0 + -14

Combine like terms: 0 + -14 = -14
-1k = -14

Divide each side by '-1'.
k = 14

Simplifying
k = 14
Solution
k = {-3, 14}