How do I find the x and y intercepts of (x^(2))y + x^(2) + 4y = 0

Would they both be (0,0) ??

Let Y = 0:

x^2*0 + x^2 + 4*0 = 0.
0 + x^2 + 0 = 0
x^2 = 0
X = 0 = X-intercept.

Let x = 0:
0^2*y + 0^2 + 4y = 0
0 + 0 + 4y = 0
4y = 0
Y = 0. = Y-intercept.

Yes, both are zero. Very unusual.