z = a + bi
2 - 3i(a + bi) = 3 + 2(a + bi)
2 - 3ai - 3bi^2 = 3 + 2a + 2bi
2 - 3ai + 3b = 3 + 2a + 2bi
-3ai = 2bi
-3a = 2b
a = (-2/3)b
2 - 3(-2/3)b i + 3b = 3 + 2(-2/3)b + 2bi
2 + 3b = 3 - (4/3)b
(13/3)b = 1
b = 3/13
a = (-2/3)(3/13) = -2/13
z = -2/13 + (3/13)i
