# How do you evaluate (4+ 8i ) - ( 3+ 3i )?

Dec 6, 2017

$i = - \frac{1}{5}$

#### Explanation:

Transform the equation to an addition equation could make things easier

$\left(4 + 8 i\right) - \left(3 + 3 i\right)$

$\left(4 + 8 i\right) + \left(- 3 - 3 i\right)$

I’m going to rearrange them to make things even easier.

$8 i - 3 i + 4 - 3$

$5 i + 1$

Now you want to solve to find i (You want to isolate it.)

$5 i + 1 - 1 = 0 - 1$

$5 i = - 1$

$\frac{5 i}{5} = - \frac{1}{5}$

$i = - \frac{1}{5}$