D^3+2D^2+D=0

Solution for D^3+2D^2+D=0 equation:

Simplifying
D3 + 2D2 + D = 0

Reorder the terms:
D + 2D2 + D3 = 0

Solving
D + 2D2 + D3 = 0

Solving for variable 'D'.

Factor out the Greatest Common Factor (GCF), 'D'.
D(1 + 2D + D2) = 0

Factor a trinomial.
D((1 + D)(1 + D)) = 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 + 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 = {0, -1, -1}