Find the asymptote of the hyperbola $(2x+3y-1)(kx-5y+2)+10=0....(1)$ .Also find the value of $k$ for which the above equation will represent a rectangular hyperbola.
Now,i know that the asymptote of a hyperbola is $$y=\pm\frac{b}{a}(x-h)+k $$ I tried to simplify the $(1)$ equation but could not go anywhere useful.Also set up the equation to zero to figure out the asymptote;failed in that road too.