-8n(5n-3)=0

Solution for -8n(5n-3)=0 equation:

-8n(5n-3)=0

We multiply parentheses

-40n^2+24n=0

a = -40; b = 24; c = 0;
Δ = b2-4ac
Δ = 242-4·(-40)·0
Δ = 576
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$n_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$n_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{576}=24$
$n_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(24)-24}{2*-40}=\frac{-48}{-80}
=3/5
$
$n_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(24)+24}{2*-40}=\frac{0}{-80}
=0
$