Should solve try and equate realparts and imaginary parts of equations?

Hi,

I'm playing with Maxima and complex equations and am wondering why solve
doesn't break up the complex equation into its real and imaginary parts.
For example:

(%i61) declare(C,real);
(%o61) done
(%i62) declare(L,real);
(%o62) done
(%i63) 50=1/(1/600+%i*2*%pi*10000000*C)+%i*2*%pi*10000000*L;
(%o63) 50=20000000*%i*%pi*L+1/(20000000*%i*%pi*C+1/600)
(%i64) solve([%], [L,C]);
(%o64) [[L=-(12000000000*%i*%pi*%r6-11)/(4800000000000000*%pi^2*%
r6-400000*%i*%pi),C=%r6]]
(%i65) 50=1/(1/600+%i*2*%pi*10000000*C)+%i*2*%pi*10000000*L;
(%o65) 50=20000000*%i*%pi*L+1/(20000000*%i*%pi*C+1/600)
(%i66) solve([imagpart(%),realpart(%)],[L,C]);
(%o66) [[L=-sqrt(11)/(400000*%pi),C=-sqrt(11)/(12000000000*%
pi)],[L=sqrt(11)/(400000*%pi),C=sqrt(11)/(12000000000*%pi)]]

It appears that the result in (%i66) is a lot more what I was hoping
for.  Shouldn't we get the same thing in (%i64)?  What do you think?
Why or why not?

Thanks,

Rob