[tex]\bf \begin{cases}
x=-\cfrac{1}{12}\implies 12x=-1\implies &12x+1=0\\\\
x=\cfrac{1}{4}\implies 4x=1\implies &4x-1=0
\end{cases}\\\\
-----------------------------[/tex]
[tex]\bf (12x+1)(4x-1)=\stackrel{original~polynomial}{0}\implies \stackrel{FOIL}{48x^2-8x-1=y}[/tex]