b^4=1296

Solution for b^4=1296 equation:

Simplifying
b4 = 1296

Solving
b4 = 1296

Solving for variable 'b'.

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

Simplifying
b4 = 1296

Reorder the terms:
-1296 + b4 = 1296 + -1296

Combine like terms: 1296 + -1296 = 0
-1296 + b4 = 0

Factor a difference between two squares.
(36 + b2)(-36 + b2) = 0

Factor a difference between two squares.
(36 + b2)((6 + b)(-6 + b)) = 0

Subproblem 1
Set the factor '(36 + b2)' equal to zero and attempt to solve:

Simplifying
36 + b2 = 0

Solving
36 + b2 = 0

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

Add '-36' to each side of the equation.
36 + -36 + b2 = 0 + -36

Combine like terms: 36 + -36 = 0
0 + b2 = 0 + -36
b2 = 0 + -36

Combine like terms: 0 + -36 = -36
b2 = -36

Simplifying
b2 = -36

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 '(6 + b)' equal to zero and attempt to solve:

Simplifying
6 + b = 0

Solving
6 + b = 0

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

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

Combine like terms: 6 + -6 = 0
0 + b = 0 + -6
b = 0 + -6

Combine like terms: 0 + -6 = -6
b = -6

Simplifying
b = -6
Subproblem 3
Set the factor '(-6 + b)' equal to zero and attempt to solve:

Simplifying
-6 + b = 0

Solving
-6 + b = 0

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

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

Combine like terms: -6 + 6 = 0
0 + b = 0 + 6
b = 0 + 6

Combine like terms: 0 + 6 = 6
b = 6

Simplifying
b = 6
Solution
b = {-6, 6}