If zzz is a complex number such that z2+∣z∣2=2+4iz^2 + |z|^2 = 2 + 4iz2+∣z∣2=2+4i, determine the value of z2z^2z2.
2+4i2 + 4i2+4i
1+4i1 + 4i1+4i
1+2i1 + 2i1+2i
4+2i4 + 2i4+2i