6d^2+16d+8=0

Solution for 6d^2+16d+8=0 equation:

Simplifying
6d2 + 16d + 8 = 0

Reorder the terms:
8 + 16d + 6d2 = 0

Solving
8 + 16d + 6d2 = 0

Solving for variable 'd'.

Factor out the Greatest Common Factor (GCF), '2'.
2(4 + 8d + 3d2) = 0

Factor a trinomial.
2((2 + d)(2 + 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 '(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 = {-2, -0.6666666667}