8b(b+8)-6b=8

Solution for 8b(b+8)-6b=8 equation:

8b(b+8)-6b=8

We move all terms to the left:

8b(b+8)-6b-(8)=0

We add all the numbers together, and all the variables

-6b+8b(b+8)-8=0

We multiply parentheses

8b^2-6b+64b-8=0

We add all the numbers together, and all the variables

8b^2+58b-8=0

a = 8; b = 58; c = -8;
Δ = b2-4ac
Δ = 582-4·8·(-8)
Δ = 3620
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$b_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$b_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:

$\sqrt{\Delta}=\sqrt{3620}=\sqrt{4*905}=\sqrt{4}*\sqrt{905}=2\sqrt{905}$
$b_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(58)-2\sqrt{905}}{2*8}=\frac{-58-2\sqrt{905}}{16}
$
$b_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(58)+2\sqrt{905}}{2*8}=\frac{-58+2\sqrt{905}}{16}
$