15d^2+48d+36=0

Solution for 15d^2+48d+36=0 equation:

Simplifying
15d2 + 48d + 36 = 0

Reorder the terms:
36 + 48d + 15d2 = 0

Solving
36 + 48d + 15d2 = 0

Solving for variable 'd'.

Factor out the Greatest Common Factor (GCF), '3'.
3(12 + 16d + 5d2) = 0

Factor a trinomial.
3((2 + d)(6 + 5d)) = 0

Ignore the factor 3.
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 '(6 + 5d)' equal to zero and attempt to solve:

Simplifying
6 + 5d = 0

Solving
6 + 5d = 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 + 5d = 0 + -6

Combine like terms: 6 + -6 = 0
0 + 5d = 0 + -6
5d = 0 + -6

Combine like terms: 0 + -6 = -6
5d = -6

Divide each side by '5'.
d = -1.2

Simplifying
d = -1.2
Solution
d = {-2, -1.2}