20d^2+27d+9=0

Solution for 20d^2+27d+9=0 equation:

Simplifying
20d2 + 27d + 9 = 0

Reorder the terms:
9 + 27d + 20d2 = 0

Solving
9 + 27d + 20d2 = 0

Solving for variable 'd'.

Factor a trinomial.
(3 + 4d)(3 + 5d) = 0

Subproblem 1
Set the factor '(3 + 4d)' equal to zero and attempt to solve:

Simplifying
3 + 4d = 0

Solving
3 + 4d = 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 + 4d = 0 + -3

Combine like terms: 3 + -3 = 0
0 + 4d = 0 + -3
4d = 0 + -3

Combine like terms: 0 + -3 = -3
4d = -3

Divide each side by '4'.
d = -0.75

Simplifying
d = -0.75
Subproblem 2
Set the factor '(3 + 5d)' equal to zero and attempt to solve:

Simplifying
3 + 5d = 0

Solving
3 + 5d = 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 + 5d = 0 + -3

Combine like terms: 3 + -3 = 0
0 + 5d = 0 + -3
5d = 0 + -3

Combine like terms: 0 + -3 = -3
5d = -3

Divide each side by '5'.
d = -0.6

Simplifying
d = -0.6
Solution
d = {-0.75, -0.6}