Simplify the expression (-12-6i)/(-6+6i)?

First, we'll factorize both numerator and denominator by
-6

-6(2 + i)/-6(1 - i) =
(2+i)/(1-i)

We'll simplify (2+i)/(1-i)by multiplying the
denominator by it's conjugate.

The conjugate of the 1 - i =
1 +
i

(2+i)(1+i)/(1-i)(1+i)

We'll
remove the brackets:

(2 + 2i + i + i^2)/
(1-i^2)

We'll combine the real parts and the imaginary
parts, considering i^2 = -1, and we'll get:

(1 +
3i)/2

The simplified expression is:
(-12 - 6i) / (-6+6i) =1/2+
3i/2