HelpPlease?!: Consider the curve defined by 2y^3+6x^2y-12x^2+6y=1

HelpPlease??!!: Consider the curve defined by 2y^3+6x^2y-12x^2+6y=1
c) The line through the origin with slope -1 is tangent to the curve at point P.Find the x- and y- coordinates of point P.