# How do you divide (-10-5i)/(-6+6i)?

Sep 17, 2016

$\frac{5}{12} + \frac{5}{4} i$

#### Explanation:

$\frac{- 10 - 5 i}{- 6 + 6 i}$

Multiply the numerator and denominator by the conjugate of the denominator.

$\frac{- 10 - 5 i}{- 6 + 6 i} \cdot \frac{- 6 - 6 i}{- 6 - 6 i}$

$\frac{60 + 30 i + 60 i + 30 {i}^{2}}{36 - 36 i + 36 i - 36 {i}^{2}}$

$\frac{60 + 90 i + 30 \left(- 1\right)}{36 - 36 \left(- 1\right)}$

$\frac{30 + 90 i}{72}$

(6(5+15i))/(6(12)

$\frac{5 + 15 i}{12}$ or $\frac{5}{12} + \frac{5}{4} i$