Answer
The conic section is an ellipse.
Work Step by Step
Comparing the given equation with the standard equation $$
a x^{2}+b x y+c y^{2}+d x+e y+f=0
$$
we get $a=2,b=-3,c=5$. Now, we check the discriminant $$D=b^2-4ac=9-40=-31\lt 0$$
Since the discriminant is negative, the conic section is an ellipse.