# How do you simplify (4-6i)/i?

$\frac{4 - 6 i}{i} = \frac{2 \left(2 - 3 i\right)}{i} = 2 \left(\frac{2}{i} - 3 \frac{i}{i}\right) = 2 \left(\frac{2}{i} \times \frac{i}{i} - 3\right)$
$= 2 \left(\frac{2 i}{i} ^ 2 - 3\right) = 2 \left(\frac{2 i}{-} 1 - 3\right) = - 2 \left(2 i + 3\right) , \mathmr{and} , - 2 \left(3 + 2 i\right)$.