8d^2-6d-5=0

Solution for 8d^2-6d-5=0 equation:

Simplifying
8d2 + -6d + -5 = 0

Reorder the terms:
-5 + -6d + 8d2 = 0

Solving
-5 + -6d + 8d2 = 0

Solving for variable 'd'.

Factor a trinomial.
(-1 + -2d)(5 + -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 '(5 + -4d)' equal to zero and attempt to solve:

Simplifying
5 + -4d = 0

Solving
5 + -4d = 0

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

Add '-5' to each side of the equation.
5 + -5 + -4d = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -4d = 0 + -5
-4d = 0 + -5

Combine like terms: 0 + -5 = -5
-4d = -5

Divide each side by '-4'.
d = 1.25

Simplifying
d = 1.25
Solution
d = {-0.5, 1.25}