AMC 12A 2016 Problem 7

Which of these describes the graph of x^{2}(x+y+1)=y^{2}(x+y+1) ?

Answer Choices
A. two parallel lines
B. two intersecting lines
C. three lines that all pass through a common point
D. three lines that do not all pass through a common point
E. a line and a parabola