3/(5 - 6i)
To simplify this, we need to multiply both sides by the conjugate of the denominator, which is 5 + 6i
3(5 + 6i)
Distributive property.
15 + 18i
(5 - 6i)(5 + 6i)
25 + 30i - 30i - 36i^2
25 - 36i^2
i^2 = -1
25 + 36
61
The simplified expression is (15/61) + (18i/61).
