3D^2+20D+12=0

Solution for 3D^2+20D+12=0 equation:

Simplifying
3D2 + 20D + 12 = 0

Reorder the terms:
12 + 20D + 3D2 = 0

Solving
12 + 20D + 3D2 = 0

Solving for variable 'D'.

Factor a trinomial.
(6 + D)(2 + 3D) = 0

Subproblem 1
Set the factor '(6 + D)' equal to zero and attempt to solve:

Simplifying
6 + D = 0

Solving
6 + D = 0

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

Add '-6' to each side of the equation.
6 + -6 + D = 0 + -6

Combine like terms: 6 + -6 = 0
0 + D = 0 + -6
D = 0 + -6

Combine like terms: 0 + -6 = -6
D = -6

Simplifying
D = -6
Subproblem 2
Set the factor '(2 + 3D)' equal to zero and attempt to solve:

Simplifying
2 + 3D = 0

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

Combine like terms: 2 + -2 = 0
0 + 3D = 0 + -2
3D = 0 + -2

Combine like terms: 0 + -2 = -2
3D = -2

Divide each side by '3'.
D = -0.6666666667

Simplifying
D = -0.6666666667
Solution
D = {-6, -0.6666666667}