Find the conic section represented by the equation
3x^2 + y^2 + 9x - 5y - 20 = 8x^2 + 6x + 47
Simplify as
-5x^2 + 3x + y^2 - 5y = 67
y^2 - 5y - 5x^2 + 3x = 67
Hyperbola
y^2 term positive
x^2 term negative
+290 
