(D^3-2D^2-3D)=0

Solution for (D^3-2D^2-3D)=0 equation:

Simplifying
(D3 + -2D2 + -3D) = 0

Reorder the terms:
(-3D + -2D2 + D3) = 0

Remove parenthesis around (-3D + -2D2 + D3)
-3D + -2D2 + D3 = 0

Solving
-3D + -2D2 + D3 = 0

Solving for variable 'D'.

Factor out the Greatest Common Factor (GCF), 'D'.
D(-3 + -2D + D2) = 0

Factor a trinomial.
D((-1 + -1D)(3 + -1D)) = 0

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

Simplifying
D = 0

Solving
D = 0

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

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

Simplifying
-1 + -1D = 0

Solving
-1 + -1D = 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 + -1D = 0 + 1

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

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

Divide each side by '-1'.
D = -1

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

Simplifying
3 + -1D = 0

Solving
3 + -1D = 0

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

Add '-3' to each side of the equation.
3 + -3 + -1D = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -1D = 0 + -3
-1D = 0 + -3

Combine like terms: 0 + -3 = -3
-1D = -3

Divide each side by '-1'.
D = 3

Simplifying
D = 3
Solution
D = {0, -1, 3}