Suppose you have the model:

X_{t} = 0.2*X_{t-1} + 0.3X_{t-2} + w_{t} + w_{t-1} + w_{t-2} where w_{t} is WN(0,\sigma^{2}). How would you express this model in terms of p d and q? Would this simply be an ARIMA(2,0,2) model? Also to solve determine whether the model is invertible and causal does one just solve the equation:
(1 - 0.2B  - 0.3B^{2})X_{t} = (1- B - B^{2})w_{t} and determine if the roots lie outside the unit circle? ?