8n(8n-6)=0

Solution for 8n(8n-6)=0 equation:

8n(8n-6)=0

We multiply parentheses

64n^2-48n=0

a = 64; b = -48; c = 0;
Δ = b2-4ac
Δ = -482-4·64·0
Δ = 2304
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$n_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$n_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{2304}=48$
$n_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-48)-48}{2*64}=\frac{0}{128}
=0
$
$n_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-48)+48}{2*64}=\frac{96}{128}
=3/4
$