D^2+3D+2=0

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

Simplifying
D2 + 3D + 2 = 0

Reorder the terms:
2 + 3D + D2 = 0

Solving
2 + 3D + D2 = 0

Solving for variable 'D'.

Factor a trinomial.
(2 + D)(1 + D) = 0

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

Simplifying
2 + D = 0

Solving
2 + D = 0

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

Add '-2' to each side of the equation.
2 + -2 + D = 0 + -2

Combine like terms: 2 + -2 = 0
0 + D = 0 + -2
D = 0 + -2

Combine like terms: 0 + -2 = -2
D = -2

Simplifying
D = -2
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 = {-2, -1}