x^4=6561

Solution for x^4=6561 equation:

Simplifying
x4 = 6561

Solving
x4 = 6561

Solving for variable 'x'.

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

Simplifying
x4 = 6561

Reorder the terms:
-6561 + x4 = 6561 + -6561

Combine like terms: 6561 + -6561 = 0
-6561 + x4 = 0

Factor a difference between two squares.
(81 + x2)(-81 + x2) = 0

Factor a difference between two squares.
(81 + x2)((9 + x)(-9 + x)) = 0

Subproblem 1
Set the factor '(81 + x2)' equal to zero and attempt to solve:

Simplifying
81 + x2 = 0

Solving
81 + x2 = 0

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

Add '-81' to each side of the equation.
81 + -81 + x2 = 0 + -81

Combine like terms: 81 + -81 = 0
0 + x2 = 0 + -81
x2 = 0 + -81

Combine like terms: 0 + -81 = -81
x2 = -81

Simplifying
x2 = -81

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 '(9 + x)' equal to zero and attempt to solve:

Simplifying
9 + x = 0

Solving
9 + x = 0

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

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

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

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

Simplifying
x = -9
Subproblem 3
Set the factor '(-9 + x)' equal to zero and attempt to solve:

Simplifying
-9 + x = 0

Solving
-9 + x = 0

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

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

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

Combine like terms: 0 + 9 = 9
x = 9

Simplifying
x = 9
Solution
x = {-9, 9}