k^2-33=-8k

Solution for k^2-33=-8k equation:

Simplifying
k2 + -33 = -8k

Reorder the terms:
-33 + k2 = -8k

Solving
-33 + k2 = -8k

Solving for variable 'k'.

Reorder the terms:
-33 + 8k + k2 = -8k + 8k

Combine like terms: -8k + 8k = 0
-33 + 8k + k2 = 0

Factor a trinomial.
(-11 + -1k)(3 + -1k) = 0

Subproblem 1
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
Subproblem 2
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
Solution
k = {-11, 3}