10n(3n+8)=0

Solution for 10n(3n+8)=0 equation:

10n(3n+8)=0

We multiply parentheses

30n^2+80n=0

a = 30; b = 80; c = 0;
Δ = b2-4ac
Δ = 802-4·30·0
Δ = 6400
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$n_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$n_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{6400}=80$
$n_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(80)-80}{2*30}=\frac{-160}{60}
=-2+2/3
$
$n_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(80)+80}{2*30}=\frac{0}{60}
=0
$