6n(9n+8)=0

Solution for 6n(9n+8)=0 equation:

6n(9n+8)=0

We multiply parentheses

54n^2+48n=0

a = 54; b = 48; c = 0;
Δ = b2-4ac
Δ = 482-4·54·0
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*54}=\frac{-96}{108}
=-8/9
$
$n_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(48)+48}{2*54}=\frac{0}{108}
=0
$