8v(8v+3)=0

Solution for 8v(8v+3)=0 equation:

8v(8v+3)=0

We multiply parentheses

64v^2+24v=0

a = 64; b = 24; c = 0;
Δ = b2-4ac
Δ = 242-4·64·0
Δ = 576
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$v_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$v_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{576}=24$
$v_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(24)-24}{2*64}=\frac{-48}{128}
=-3/8
$
$v_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(24)+24}{2*64}=\frac{0}{128}
=0
$