D^5-D^3=0

Solution for D^5-D^3=0 equation:

Simplifying
D5 + -1D3 = 0

Reorder the terms:
-1D3 + D5 = 0

Solving
-1D3 + D5 = 0

Solving for variable 'D'.

Factor out the Greatest Common Factor (GCF), 'D3'.
D3(-1 + D2) = 0

Factor a difference between two squares.
D3((1 + D)(-1 + D)) = 0

Subproblem 1
Set the factor 'D3' equal to zero and attempt to solve:

Simplifying
D3 = 0

Solving
D3 = 0

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

Simplifying
D3 = 0

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}