5d^2-39d-8=0

Solution for 5d^2-39d-8=0 equation:

Simplifying
5d2 + -39d + -8 = 0

Reorder the terms:
-8 + -39d + 5d2 = 0

Solving
-8 + -39d + 5d2 = 0

Solving for variable 'd'.

Factor a trinomial.
(-1 + -5d)(8 + -1d) = 0

Subproblem 1
Set the factor '(-1 + -5d)' equal to zero and attempt to solve:

Simplifying
-1 + -5d = 0

Solving
-1 + -5d = 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 + -5d = 0 + 1

Combine like terms: -1 + 1 = 0
0 + -5d = 0 + 1
-5d = 0 + 1

Combine like terms: 0 + 1 = 1
-5d = 1

Divide each side by '-5'.
d = -0.2

Simplifying
d = -0.2
Subproblem 2
Set the factor '(8 + -1d)' equal to zero and attempt to solve:

Simplifying
8 + -1d = 0

Solving
8 + -1d = 0

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

Add '-8' to each side of the equation.
8 + -8 + -1d = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -1d = 0 + -8
-1d = 0 + -8

Combine like terms: 0 + -8 = -8
-1d = -8

Divide each side by '-1'.
d = 8

Simplifying
d = 8
Solution
d = {-0.2, 8}