find solution for the variable y

Question

I have some problem with understaing how wolfram calculate the solution for the variable $y$ in equation $2x^2+y^2+xy+2x=-1$

Answer 1

Hint :

the quadratic formula :

$$ ay^2 + by + c = 0 \Rightarrow y = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a} $$

let $$ a = 1 , b = x , c = 2x^2 + 2x + 1 $$