In order to solve this equation for n, we can do the following:
[tex]\begin{gathered} -6n^2-8n=0 \\ -2n(3n+4)=0 \\ \begin{cases}-2n=0\to n=0 \\ 3n+4=0\to3n=-4\to n=-\frac{4}{3}\end{cases} \end{gathered}[/tex]So the two solutions for n are n = 0 and n = -4/3
