16c^4=81

Solution for 16c^4=81 equation:

Simplifying
16c4 = 81

Solving
16c4 = 81

Solving for variable 'c'.

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

Divide each side by '16'.
c4 = 5.0625

Simplifying
c4 = 5.0625

Reorder the terms:
-5.0625 + c4 = 5.0625 + -5.0625

Combine like terms: 5.0625 + -5.0625 = 0.0000
-5.0625 + c4 = 0.0000

Factor a difference between two squares.
(2.25 + c2)(-2.25 + c2) = 0.0000

Factor a difference between two squares.
(2.25 + c2)((1.5 + c)(-1.5 + c)) = 0.0000

Subproblem 1
Set the factor '(2.25 + c2)' equal to zero and attempt to solve:

Simplifying
2.25 + c2 = 0

Solving
2.25 + c2 = 0

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

Add '-2.25' to each side of the equation.
2.25 + -2.25 + c2 = 0 + -2.25

Combine like terms: 2.25 + -2.25 = 0.00
0.00 + c2 = 0 + -2.25
c2 = 0 + -2.25

Combine like terms: 0 + -2.25 = -2.25
c2 = -2.25

Simplifying
c2 = -2.25

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

Simplifying
1.5 + c = 0

Solving
1.5 + c = 0

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

Add '-1.5' to each side of the equation.
1.5 + -1.5 + c = 0 + -1.5

Combine like terms: 1.5 + -1.5 = 0.0
0.0 + c = 0 + -1.5
c = 0 + -1.5

Combine like terms: 0 + -1.5 = -1.5
c = -1.5

Simplifying
c = -1.5
Subproblem 3
Set the factor '(-1.5 + c)' equal to zero and attempt to solve:

Simplifying
-1.5 + c = 0

Solving
-1.5 + c = 0

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

Add '1.5' to each side of the equation.
-1.5 + 1.5 + c = 0 + 1.5

Combine like terms: -1.5 + 1.5 = 0.0
0.0 + c = 0 + 1.5
c = 0 + 1.5

Combine like terms: 0 + 1.5 = 1.5
c = 1.5

Simplifying
c = 1.5
Solution
c = {-1.5, 1.5}