d^4-1=

Solution for d^4-1= equation:

Simplifying
d4 + -1 = 0

Reorder the terms:
-1 + d4 = 0

Solving
-1 + d4 = 0

Solving for variable 'd'.

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

Add '1' to each side of the equation.
-1 + 1 + d4 = 0 + 1

Combine like terms: -1 + 1 = 0
0 + d4 = 0 + 1
d4 = 0 + 1

Combine like terms: 0 + 1 = 1
d4 = 1

Simplifying
d4 = 1

Reorder the terms:
-1 + d4 = 1 + -1

Combine like terms: 1 + -1 = 0
-1 + d4 = 0

Factor a difference between two squares.
(1 + d2)(-1 + d2) = 0

Factor a difference between two squares.
(1 + d2)((1 + d)(-1 + d)) = 0

Subproblem 1
Set the factor '(1 + d2)' equal to zero and attempt to solve:

Simplifying
1 + d2 = 0

Solving
1 + d2 = 0

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

Add '-1' to each side of the equation.
1 + -1 + d2 = 0 + -1

Combine like terms: 1 + -1 = 0
0 + d2 = 0 + -1
d2 = 0 + -1

Combine like terms: 0 + -1 = -1
d2 = -1

Simplifying
d2 = -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 + d)' equal to zero and attempt to solve:

Simplifying
1 + d = 0

Solving
1 + d = 0

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

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

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

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

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

Simplifying
-1 + d = 0

Solving
-1 + d = 0

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

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

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

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

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