8b^2-66=17b

Solution for 8b^2-66=17b equation:

8b^2-66=17b

We move all terms to the left:

8b^2-66-(17b)=0

a = 8; b = -17; c = -66;
Δ = b2-4ac
Δ = -172-4·8·(-66)
Δ = 2401
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$b_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$b_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{2401}=49$
$b_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-17)-49}{2*8}=\frac{-32}{16}
=-2
$
$b_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-17)+49}{2*8}=\frac{66}{16}
=4+1/8
$