Sorry if my wording is bad and/or this isn't a good question, it's my first time submitting to stackexchange.
As a disclaimer, I'm not a maths student, just interested in some of this during my spare time. I'm currently trying to get a better understanding of implicit curves and calculus.
My question is this: Graphing $ y^2 = xy - x^2 - x $ results in an ellipse-looking curve, which made me wonder, what is the area enclosed by this shape? I'm not really interested in the answer on its own, what I'm wondering is how one would even begin to approach this sort of problem. With my current level of understanding I'm not even sure how to formulate my question in terms of some kind of integral.
Any clues would be appreciated, thanks!