(D^3-1)y=0

Solution for (D^3-1)y=0 equation:

Simplifying
(D3 + -1) * y = 0

Reorder the terms:
(-1 + D3) * y = 0

Reorder the terms for easier multiplication:
y(-1 + D3) = 0
(-1 * y + D3 * y) = 0
(-1y + yD3) = 0

Solving
-1y + yD3 = 0

Solving for variable 'y'.

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

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

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

Simplifying
y = 0

Solving
y = 0

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

Simplifying
y = 0
Subproblem 2
Set the factor '(-1 + D3)' equal to zero and attempt to solve:

Simplifying
-1 + D3 = 0

Solving
-1 + D3 = 0

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

Add '1' to each side of the equation.
-1 + 1 + D3 = 0 + 1

Combine like terms: -1 + 1 = 0
0 + D3 = 0 + 1
D3 = 0 + 1

Combine like terms: 0 + 1 = 1
D3 = 1

Add '-1D3' to each side of the equation.
D3 + -1D3 = 1 + -1D3

Combine like terms: D3 + -1D3 = 0
0 = 1 + -1D3

Simplifying
0 = 1 + -1D3

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
y = {0}