16d^2+36d+18=0

Solution for 16d^2+36d+18=0 equation:

Simplifying
16d2 + 36d + 18 = 0

Reorder the terms:
18 + 36d + 16d2 = 0

Solving
18 + 36d + 16d2 = 0

Solving for variable 'd'.

Factor out the Greatest Common Factor (GCF), '2'.
2(9 + 18d + 8d2) = 0

Factor a trinomial.
2((3 + 2d)(3 + 4d)) = 0

Ignore the factor 2.
Subproblem 1
Set the factor '(3 + 2d)' equal to zero and attempt to solve:

Simplifying
3 + 2d = 0

Solving
3 + 2d = 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 + 2d = 0 + -3

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

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

Divide each side by '2'.
d = -1.5

Simplifying
d = -1.5
Subproblem 2
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
Solution
d = {-1.5, -0.75}