D^4-a^4=0

Solution for D^4-a^4=0 equation:

Simplifying
D4 + -1a4 = 0

Solving
D4 + -1a4 = 0

Solving for variable 'D'.

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

Add 'a4' to each side of the equation.
D4 + -1a4 + a4 = 0 + a4

Combine like terms: -1a4 + a4 = 0
D4 + 0 = 0 + a4
D4 = 0 + a4
Remove the zero:
D4 = a4

Simplifying
D4 = a4

Combine like terms: a4 + -1a4 = 0
D4 + -1a4 = 0

Factor a difference between two squares.
(D2 + a2)(D2 + -1a2) = 0

Factor a difference between two squares.
(D2 + a2)((D + a)(D + -1a)) = 0

Subproblem 1
Set the factor '(D2 + a2)' equal to zero and attempt to solve:

Simplifying
D2 + a2 = 0

Solving
D2 + a2 = 0

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

Add '-1a2' to each side of the equation.
D2 + a2 + -1a2 = 0 + -1a2

Combine like terms: a2 + -1a2 = 0
D2 + 0 = 0 + -1a2
D2 = 0 + -1a2
Remove the zero:
D2 = -1a2

Simplifying
D2 = -1a2

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 '(D + a)' equal to zero and attempt to solve:

Simplifying
D + a = 0

Solving
D + a = 0

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

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

Combine like terms: a + -1a = 0
D + 0 = 0 + -1a
D = 0 + -1a
Remove the zero:
D = -1a

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

Simplifying
D + -1a = 0

Solving
D + -1a = 0

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

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

Combine like terms: -1a + a = 0
D + 0 = 0 + a
D = 0 + a
Remove the zero:
D = a

Simplifying
D = a
Solution
D = {-1a, a}