tldr bad luck protection used to stop working after you acquired 4 legendaries . This is no longer the case , as bad luck protection will now continue to help you after your 4 th legendary . <| sep |> Yeah , he does . Be careful and either bring a Pokemon with Damp or use a quick ball . I got lucky and managed to stuff him into a Great Ball before he could SelfDestruct . <| sep |> Hell yeah Cobble ! !!<| sep |> You ' re not being thick , that ' s exactly what I ' m relying on . Sure , my approach applies only to x 2 y 2 . However , when factorizing single variable polynomials , e . g . x 2 8 x 4 , it ' s not exactly clear where to start from aside from trial and error . However if we set it equal to zero and apply the quadratic formula , we find roots x 1 and x 2 such that the equation factorizes to x x 1 x x 2 . turns out this factorization is general , and is equal to zero only when x x 1 or x x 2 . Indeed if you plot both x 2 8 x 4 and x x 1 x x 2 , you ' ll find identical plots . It ' s basically the fundamental theorem of algebra does it generalize to multivariables ? If we have nth degree polynomial , we know there should be n roots such that the equation factorizes to x x 1 . x xn . Setting the equation to zero is a useful way to find these roots .