k^2-10k+16=-8

Solution for k^2-10k+16=-8 equation:

Simplifying
k2 + -10k + 16 = -8

Reorder the terms:
16 + -10k + k2 = -8

Solving
16 + -10k + k2 = -8

Solving for variable 'k'.

Reorder the terms:
16 + 8 + -10k + k2 = -8 + 8

Combine like terms: 16 + 8 = 24
24 + -10k + k2 = -8 + 8

Combine like terms: -8 + 8 = 0
24 + -10k + k2 = 0

Factor a trinomial.
(4 + -1k)(6 + -1k) = 0

Subproblem 1
Set the factor '(4 + -1k)' equal to zero and attempt to solve:

Simplifying
4 + -1k = 0

Solving
4 + -1k = 0

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

Add '-4' to each side of the equation.
4 + -4 + -1k = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -1k = 0 + -4
-1k = 0 + -4

Combine like terms: 0 + -4 = -4
-1k = -4

Divide each side by '-1'.
k = 4

Simplifying
k = 4
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 = {4, 6}