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Thread moved from a technical forum, so homework template missing

ok having major problems. i can easily solve z^2 + pz +a+bi=0 solutions but that extra qiz is really annoying me.

z^2 + 3z+4iz-1+5i=0

(z+2i)^2+3z-5+5i=0

z+2i = w, z=w-2i

w=-3(w-2i)+5-5i

then im not getting anything sensible for solving x and yi. what am i doing wrong?

z^2 + 3z+4iz-1+5i=0

(z+2i)^2+3z-5+5i=0

z+2i = w, z=w-2i

w=-3(w-2i)+5-5i

then im not getting anything sensible for solving x and yi. what am i doing wrong?