c^4-8c^2-33=0

Solution for c^4-8c^2-33=0 equation:

Simplifying
c4 + -8c2 + -33 = 0

Reorder the terms:
-33 + -8c2 + c4 = 0

Solving
-33 + -8c2 + c4 = 0

Solving for variable 'c'.

Factor a trinomial.
(-3 + -1c2)(11 + -1c2) = 0

Subproblem 1
Set the factor '(-3 + -1c2)' equal to zero and attempt to solve:

Simplifying
-3 + -1c2 = 0

Solving
-3 + -1c2 = 0

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

Add '3' to each side of the equation.
-3 + 3 + -1c2 = 0 + 3

Combine like terms: -3 + 3 = 0
0 + -1c2 = 0 + 3
-1c2 = 0 + 3

Combine like terms: 0 + 3 = 3
-1c2 = 3

Divide each side by '-1'.
c2 = -3

Simplifying
c2 = -3

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Subproblem 2
Set the factor '(11 + -1c2)' equal to zero and attempt to solve:

Simplifying
11 + -1c2 = 0

Solving
11 + -1c2 = 0

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

Add '-11' to each side of the equation.
11 + -11 + -1c2 = 0 + -11

Combine like terms: 11 + -11 = 0
0 + -1c2 = 0 + -11
-1c2 = 0 + -11

Combine like terms: 0 + -11 = -11
-1c2 = -11

Divide each side by '-1'.
c2 = 11

Simplifying
c2 = 11

Take the square root of each side:
c = {-3.31662479, 3.31662479}
Solution
c = {-3.31662479, 3.31662479}