3(D^2+6D+9)=0

Solution for 3(D^2+6D+9)=0 equation:

Simplifying
3(D2 + 6D + 9) = 0

Reorder the terms:
3(9 + 6D + D2) = 0
(9 * 3 + 6D * 3 + D2 * 3) = 0
(27 + 18D + 3D2) = 0

Solving
27 + 18D + 3D2 = 0

Solving for variable 'D'.

Factor out the Greatest Common Factor (GCF), '3'.
3(9 + 6D + D2) = 0

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

Ignore the factor 3.
Subproblem 1
Set the factor '(3 + D)' equal to zero and attempt to solve:

Simplifying
3 + D = 0

Solving
3 + D = 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 + D = 0 + -3

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

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

Simplifying
D = -3
Subproblem 2
Set the factor '(3 + D)' equal to zero and attempt to solve:

Simplifying
3 + D = 0

Solving
3 + D = 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 + D = 0 + -3

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

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

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