8b^2=1600

Solution for 8b^2=1600 equation:

8b^2=1600

We move all terms to the left:

8b^2-(1600)=0

a = 8; b = 0; c = -1600;
Δ = b2-4ac
Δ = 02-4·8·(-1600)
Δ = 51200
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:

$\sqrt{\Delta}=\sqrt{51200}=\sqrt{25600*2}=\sqrt{25600}*\sqrt{2}=160\sqrt{2}$
$b_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-160\sqrt{2}}{2*8}=\frac{0-160\sqrt{2}}{16}
=-\frac{160\sqrt{2}}{16}
=-10\sqrt{2}
$
$b_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+160\sqrt{2}}{2*8}=\frac{0+160\sqrt{2}}{16}
=\frac{160\sqrt{2}}{16}
=10\sqrt{2}
$