Consider $6x^{2}y^{2}-5xy-4$ as a polynomial over variable $x$.
$$6y^{2}x^{2}-5yx-4$$
Find one factor of the form $ky^{m}x^{n}+p$, where $ky^{m}x^{n}$ divides the monomial with the highest power $6y^{2}x^{2}$ and $p$ divides the constant factor $-4$. One such factor is $2xy+1$. Factor the polynomial by dividing it by this factor.