k^2-16k-17=0

Solution for k^2-16k-17=0 equation:

Simplifying
k2 + -16k + -17 = 0

Reorder the terms:
-17 + -16k + k2 = 0

Solving
-17 + -16k + k2 = 0

Solving for variable 'k'.

Factor a trinomial.
(-1 + -1k)(17 + -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 '(17 + -1k)' equal to zero and attempt to solve:

Simplifying
17 + -1k = 0

Solving
17 + -1k = 0

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

Add '-17' to each side of the equation.
17 + -17 + -1k = 0 + -17

Combine like terms: 17 + -17 = 0
0 + -1k = 0 + -17
-1k = 0 + -17

Combine like terms: 0 + -17 = -17
-1k = -17

Divide each side by '-1'.
k = 17

Simplifying
k = 17
Solution
k = {-1, 17}