16b^2-8b-15=16b

Solution for 16b^2-8b-15=16b equation:

16b^2-8b-15=16b

We move all terms to the left:

16b^2-8b-15-(16b)=0

We add all the numbers together, and all the variables

16b^2-24b-15=0

a = 16; b = -24; c = -15;
Δ = b2-4ac
Δ = -242-4·16·(-15)
Δ = 1536
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:

$\sqrt{\Delta}=\sqrt{1536}=\sqrt{256*6}=\sqrt{256}*\sqrt{6}=16\sqrt{6}$
$b_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-24)-16\sqrt{6}}{2*16}=\frac{24-16\sqrt{6}}{32}
$
$b_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-24)+16\sqrt{6}}{2*16}=\frac{24+16\sqrt{6}}{32}
$