(a+bi)(c+di)=(3+36i) - Complex Numbers Equation Help

Question

I got no solution for this question but apparently it isn't right:

Directions: Find Integers a,b,c,d such that:

(a+bi)(c+di)=(3+36i)

Answer 1

Here are two solutions, which I got by guessing:

a = 1

b = 0

c = 3

d = 36

a = 3

b = 0

c = 1

d = 12