k^2-2k-105=-6

Solution for k^2-2k-105=-6 equation:

Simplifying
k2 + -2k + -105 = -6

Reorder the terms:
-105 + -2k + k2 = -6

Solving
-105 + -2k + k2 = -6

Solving for variable 'k'.

Reorder the terms:
-105 + 6 + -2k + k2 = -6 + 6

Combine like terms: -105 + 6 = -99
-99 + -2k + k2 = -6 + 6

Combine like terms: -6 + 6 = 0
-99 + -2k + k2 = 0

Factor a trinomial.
(-9 + -1k)(11 + -1k) = 0

Subproblem 1
Set the factor '(-9 + -1k)' equal to zero and attempt to solve:

Simplifying
-9 + -1k = 0

Solving
-9 + -1k = 0

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

Add '9' to each side of the equation.
-9 + 9 + -1k = 0 + 9

Combine like terms: -9 + 9 = 0
0 + -1k = 0 + 9
-1k = 0 + 9

Combine like terms: 0 + 9 = 9
-1k = 9

Divide each side by '-1'.
k = -9

Simplifying
k = -9
Subproblem 2
Set the factor '(11 + -1k)' equal to zero and attempt to solve:

Simplifying
11 + -1k = 0

Solving
11 + -1k = 0

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

Add '-11' to each side of the equation.
11 + -11 + -1k = 0 + -11

Combine like terms: 11 + -11 = 0
0 + -1k = 0 + -11
-1k = 0 + -11

Combine like terms: 0 + -11 = -11
-1k = -11

Divide each side by '-1'.
k = 11

Simplifying
k = 11
Solution
k = {-9, 11}