8d^2+14d=-3

Solution for 8d^2+14d=-3 equation:

Simplifying
8d2 + 14d = -3

Reorder the terms:
14d + 8d2 = -3

Solving
14d + 8d2 = -3

Solving for variable 'd'.

Reorder the terms:
3 + 14d + 8d2 = -3 + 3

Combine like terms: -3 + 3 = 0
3 + 14d + 8d2 = 0

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

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 '(1 + 4d)' equal to zero and attempt to solve:

Simplifying
1 + 4d = 0

Solving
1 + 4d = 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 + 4d = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 4d = 0 + -1
4d = 0 + -1

Combine like terms: 0 + -1 = -1
4d = -1

Divide each side by '4'.
d = -0.25

Simplifying
d = -0.25
Solution
d = {-1.5, -0.25}