You should think in terms of real part and imaginary part.

so simplify it to p(2+i) + q(2i-1) = -2+2i

real part is equal to -2

so Re (-2 + 2i) = -2 = 2p -q

and Im (-2 + 2i) = 2 = p + 2q.

from there u should be able to solve it by breaking out for example p in both equations and solve for q and then for p.

u will get that q is 1.2 and p is -0.4.