8d^2-2d-3=0

Solution for 8d^2-2d-3=0 equation:

Simplifying
8d2 + -2d + -3 = 0

Reorder the terms:
-3 + -2d + 8d2 = 0

Solving
-3 + -2d + 8d2 = 0

Solving for variable 'd'.

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

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

Simplifying
-1 + -2d = 0

Solving
-1 + -2d = 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 + -2d = 0 + 1

Combine like terms: -1 + 1 = 0
0 + -2d = 0 + 1
-2d = 0 + 1

Combine like terms: 0 + 1 = 1
-2d = 1

Divide each side by '-2'.
d = -0.5

Simplifying
d = -0.5
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 = {-0.5, 0.75}