Polynomial Complex Partial Fraction Question

Question

I'm trying to find the partial fraction decomposition of the complex function $$\frac{1}{z^3-2z^2+z-2}$$ but after decomposing and writing as $$A(z-i)(z+i)+B(z-2)(z+i)+C(z-2)(z-i)=1$$ I do not know how to proceed and find $A$, $B$ and $C$.