6d^2+20d+16=0

Solution for 6d^2+20d+16=0 equation:

Simplifying
6d2 + 20d + 16 = 0

Reorder the terms:
16 + 20d + 6d2 = 0

Solving
16 + 20d + 6d2 = 0

Solving for variable 'd'.

Factor out the Greatest Common Factor (GCF), '2'.
2(8 + 10d + 3d2) = 0

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

Ignore the factor 2.
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 '(4 + 3d)' equal to zero and attempt to solve:

Simplifying
4 + 3d = 0

Solving
4 + 3d = 0

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

Add '-4' to each side of the equation.
4 + -4 + 3d = 0 + -4

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

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

Divide each side by '3'.
d = -1.333333333

Simplifying
d = -1.333333333
Solution
d = {-2, -1.333333333}