3c^4-243=0

Solution for 3c^4-243=0 equation:

Simplifying
3c4 + -243 = 0

Reorder the terms:
-243 + 3c4 = 0

Solving
-243 + 3c4 = 0

Solving for variable 'c'.

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

Add '243' to each side of the equation.
-243 + 243 + 3c4 = 0 + 243

Combine like terms: -243 + 243 = 0
0 + 3c4 = 0 + 243
3c4 = 0 + 243

Combine like terms: 0 + 243 = 243
3c4 = 243

Divide each side by '3'.
c4 = 81

Simplifying
c4 = 81

Reorder the terms:
-81 + c4 = 81 + -81

Combine like terms: 81 + -81 = 0
-81 + c4 = 0

Factor a difference between two squares.
(9 + c2)(-9 + c2) = 0

Factor a difference between two squares.
(9 + c2)((3 + c)(-3 + c)) = 0

Subproblem 1
Set the factor '(9 + c2)' equal to zero and attempt to solve:

Simplifying
9 + c2 = 0

Solving
9 + c2 = 0

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

Add '-9' to each side of the equation.
9 + -9 + c2 = 0 + -9

Combine like terms: 9 + -9 = 0
0 + c2 = 0 + -9
c2 = 0 + -9

Combine like terms: 0 + -9 = -9
c2 = -9

Simplifying
c2 = -9

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 '(3 + c)' equal to zero and attempt to solve:

Simplifying
3 + c = 0

Solving
3 + c = 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 + c = 0 + -3

Combine like terms: 3 + -3 = 0
0 + c = 0 + -3
c = 0 + -3

Combine like terms: 0 + -3 = -3
c = -3

Simplifying
c = -3
Subproblem 3
Set the factor '(-3 + c)' equal to zero and attempt to solve:

Simplifying
-3 + c = 0

Solving
-3 + c = 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 + c = 0 + 3

Combine like terms: -3 + 3 = 0
0 + c = 0 + 3
c = 0 + 3

Combine like terms: 0 + 3 = 3
c = 3

Simplifying
c = 3
Solution
c = {-3, 3}