This might be a little to advanced for this forum, but I think it is a little bit to easy to post in linear algebra. My question is if there is a quick way to see the solution of this equation, solving y as a function of x, without using the 2nd degree equation formula. Here it is:

$\displaystyle y^{2}(1+4a)-8axy+x^{2}(-1+4a)=0$