A good first step is to complete the square on each of the variables.
factoring and completing the square we get.
factoring and combining like terms
divide everything by 6 to put into standart form.
This is the standard form of a hyperbola.
The foci can be found using the equation c=foci
so the foci are at
they are located at the points
The asymptotes of the hyperbola can be found with the equation
P.S. The formula for foci is different for each conic section.