6c^4-24=

Solution for 6c^4-24= equation:

Simplifying
6c4 + -24 = 0

Reorder the terms:
-24 + 6c4 = 0

Solving
-24 + 6c4 = 0

Solving for variable 'c'.

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

Add '24' to each side of the equation.
-24 + 24 + 6c4 = 0 + 24

Combine like terms: -24 + 24 = 0
0 + 6c4 = 0 + 24
6c4 = 0 + 24

Combine like terms: 0 + 24 = 24
6c4 = 24

Divide each side by '6'.
c4 = 4

Simplifying
c4 = 4

Reorder the terms:
-4 + c4 = 4 + -4

Combine like terms: 4 + -4 = 0
-4 + c4 = 0

Factor a difference between two squares.
(2 + c2)(-2 + c2) = 0

Subproblem 1
Set the factor '(2 + c2)' equal to zero and attempt to solve:

Simplifying
2 + c2 = 0

Solving
2 + c2 = 0

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

Add '-2' to each side of the equation.
2 + -2 + c2 = 0 + -2

Combine like terms: 2 + -2 = 0
0 + c2 = 0 + -2
c2 = 0 + -2

Combine like terms: 0 + -2 = -2
c2 = -2

Simplifying
c2 = -2

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 '(-2 + c2)' equal to zero and attempt to solve:

Simplifying
-2 + c2 = 0

Solving
-2 + c2 = 0

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

Add '2' to each side of the equation.
-2 + 2 + c2 = 0 + 2

Combine like terms: -2 + 2 = 0
0 + c2 = 0 + 2
c2 = 0 + 2

Combine like terms: 0 + 2 = 2
c2 = 2

Simplifying
c2 = 2

Take the square root of each side:
c = {-1.414213562, 1.414213562}
Solution
c = {-1.414213562, 1.414213562}