k^2-5k-2=4

Solution for k^2-5k-2=4 equation:

Simplifying
k2 + -5k + -2 = 4

Reorder the terms:
-2 + -5k + k2 = 4

Solving
-2 + -5k + k2 = 4

Solving for variable 'k'.

Reorder the terms:
-2 + -4 + -5k + k2 = 4 + -4

Combine like terms: -2 + -4 = -6
-6 + -5k + k2 = 4 + -4

Combine like terms: 4 + -4 = 0
-6 + -5k + k2 = 0

Factor a trinomial.
(-1 + -1k)(6 + -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 '(6 + -1k)' equal to zero and attempt to solve:

Simplifying
6 + -1k = 0

Solving
6 + -1k = 0

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

Add '-6' to each side of the equation.
6 + -6 + -1k = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -1k = 0 + -6
-1k = 0 + -6

Combine like terms: 0 + -6 = -6
-1k = -6

Divide each side by '-1'.
k = 6

Simplifying
k = 6
Solution
k = {-1, 6}