s^4-81=

Solution for s^4-81= equation:

Simplifying
s4 + -81 = 0

Reorder the terms:
-81 + s4 = 0

Solving
-81 + s4 = 0

Solving for variable 's'.

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

Add '81' to each side of the equation.
-81 + 81 + s4 = 0 + 81

Combine like terms: -81 + 81 = 0
0 + s4 = 0 + 81
s4 = 0 + 81

Combine like terms: 0 + 81 = 81
s4 = 81

Simplifying
s4 = 81

Reorder the terms:
-81 + s4 = 81 + -81

Combine like terms: 81 + -81 = 0
-81 + s4 = 0

Factor a difference between two squares.
(9 + s2)(-9 + s2) = 0

Factor a difference between two squares.
(9 + s2)((3 + s)(-3 + s)) = 0

Subproblem 1
Set the factor '(9 + s2)' equal to zero and attempt to solve:

Simplifying
9 + s2 = 0

Solving
9 + s2 = 0

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

Add '-9' to each side of the equation.
9 + -9 + s2 = 0 + -9

Combine like terms: 9 + -9 = 0
0 + s2 = 0 + -9
s2 = 0 + -9

Combine like terms: 0 + -9 = -9
s2 = -9

Simplifying
s2 = -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 + s)' equal to zero and attempt to solve:

Simplifying
3 + s = 0

Solving
3 + s = 0

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

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

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

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

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

Simplifying
-3 + s = 0

Solving
-3 + s = 0

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

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

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

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

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