8r^2+-5+-39r=0

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

Simplifying
8r2 + -5 + -39r = 0

Reorder the terms:
-5 + -39r + 8r2 = 0

Solving
-5 + -39r + 8r2 = 0

Solving for variable 'r'.

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

Subproblem 1
Set the factor '(-1 + -8r)' equal to zero and attempt to solve:

Simplifying
-1 + -8r = 0

Solving
-1 + -8r = 0

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

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

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

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

Divide each side by '-8'.
r = -0.125

Simplifying
r = -0.125
Subproblem 2
Set the factor '(5 + -1r)' equal to zero and attempt to solve:

Simplifying
5 + -1r = 0

Solving
5 + -1r = 0

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

Add '-5' to each side of the equation.
5 + -5 + -1r = 0 + -5

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

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

Divide each side by '-1'.
r = 5

Simplifying
r = 5
Solution
r = {-0.125, 5}