k^2-16k=-39

Solution for k^2-16k=-39 equation:

Simplifying
k2 + -16k = -39

Reorder the terms:
-16k + k2 = -39

Solving
-16k + k2 = -39

Solving for variable 'k'.

Reorder the terms:
39 + -16k + k2 = -39 + 39

Combine like terms: -39 + 39 = 0
39 + -16k + k2 = 0

Factor a trinomial.
(3 + -1k)(13 + -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 '(13 + -1k)' equal to zero and attempt to solve:

Simplifying
13 + -1k = 0

Solving
13 + -1k = 0

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

Add '-13' to each side of the equation.
13 + -13 + -1k = 0 + -13

Combine like terms: 13 + -13 = 0
0 + -1k = 0 + -13
-1k = 0 + -13

Combine like terms: 0 + -13 = -13
-1k = -13

Divide each side by '-1'.
k = 13

Simplifying
k = 13
Solution
k = {3, 13}