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

Nov 7, 2016

$2 + 2 i$

#### Explanation:

Multiply numerator and denominator by the conjugate of teh denominator

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

$\frac{50 i + 50}{- 25 {i}^{2}}$

$= \frac{50 + 50 i}{25}$

$2 + 2 i$