D^2(D-1)=0

Solution for D^2(D-1)=0 equation:

Simplifying
D2(D + -1) = 0

Reorder the terms:
D2(-1 + D) = 0
(-1 * D2 + D * D2) = 0
(-1D2 + D3) = 0

Solving
-1D2 + D3 = 0

Solving for variable 'D'.

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

Subproblem 1
Set the factor 'D2' equal to zero and attempt to solve:

Simplifying
D2 = 0

Solving
D2 = 0

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

Simplifying
D2 = 0

Take the square root of each side:
D = {0}
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
Solution
D = {0, 1}