b^4-1=

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Solution for b^4-1= equation: 


Simplifying
b4 + -1 = 0

Reorder the terms:
-1 + b4 = 0

Solving
-1 + b4 = 0

Solving for variable 'b'.

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

Add '1' to each side of the equation.
-1 + 1 + b4 = 0 + 1

Combine like terms: -1 + 1 = 0
0 + b4 = 0 + 1
b4 = 0 + 1

Combine like terms: 0 + 1 = 1
b4 = 1

Simplifying
b4 = 1

Reorder the terms:
-1 + b4 = 1 + -1

Combine like terms: 1 + -1 = 0
-1 + b4 = 0

Factor a difference between two squares.
(1 + b2)(-1 + b2) = 0

Factor a difference between two squares.
(1 + b2)((1 + b)(-1 + b)) = 0


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

Simplifying
1 + b2 = 0

Solving
1 + b2 = 0

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

Add '-1' to each side of the equation.
1 + -1 + b2 = 0 + -1

Combine like terms: 1 + -1 = 0
0 + b2 = 0 + -1
b2 = 0 + -1

Combine like terms: 0 + -1 = -1
b2 = -1

Simplifying
b2 = -1

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

Simplifying
1 + b = 0

Solving
1 + b = 0

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

Add '-1' to each side of the equation.
1 + -1 + b = 0 + -1

Combine like terms: 1 + -1 = 0
0 + b = 0 + -1
b = 0 + -1

Combine like terms: 0 + -1 = -1
b = -1

Simplifying
b = -1

Subproblem 3
Set the factor '(-1 + b)' equal to zero and attempt to solve:

Simplifying
-1 + b = 0

Solving
-1 + b = 0

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

Add '1' to each side of the equation.
-1 + 1 + b = 0 + 1

Combine like terms: -1 + 1 = 0
0 + b = 0 + 1
b = 0 + 1

Combine like terms: 0 + 1 = 1
b = 1

Simplifying
b = 1
Solution
b = {-1, 1}

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