SOLVE THE EQUATION FOR Z

Question

Z divied by Z+2+i=3+i

Answer 1

Z/(Z+2+i) = 3+i
Z = 3Z + Zi + 6 + 2i + 3i + i^2
Z - 3Z - iZ = i^2 + 5i + 6
Z(-2-i) = i^2 + 5i + 6
Z = -(i^2 + 5i + 6)/(i+2)