8d^2+14d+6=0

Solution for 8d^2+14d+6=0 equation:

Simplifying
8d2 + 14d + 6 = 0

Reorder the terms:
6 + 14d + 8d2 = 0

Solving
6 + 14d + 8d2 = 0

Solving for variable 'd'.

Factor out the Greatest Common Factor (GCF), '2'.
2(3 + 7d + 4d2) = 0

Factor a trinomial.
2((1 + d)(3 + 4d)) = 0

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

Simplifying
1 + d = 0

Solving
1 + d = 0

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

Add '-1' to each side of the equation.
1 + -1 + d = 0 + -1

Combine like terms: 1 + -1 = 0
0 + d = 0 + -1
d = 0 + -1

Combine like terms: 0 + -1 = -1
d = -1

Simplifying
d = -1
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, -0.75}