Solve (4 i)/(3-2i)

Evaluate

\frac{4 i}{3 - 2 i}

Multiply by the Conjugate

\frac{4 i ( 3 + 2 i )}{( 3 - 2 i ) ( 3 + 2 i )}

Calculate

More Steps

\frac{- 8 + 12 i}{( 3 - 2 i ) ( 3 + 2 i )}

Calculate

More Steps

\frac{- 8 + 12 i}{13}

Use \frac{- a}{b} = \frac{a}{- b} = - \frac{a}{b} to rewrite the fraction

- \frac{8 - 12 i}{13}

Solution

- \frac{8}{13} + \frac{12}{13} i

Simplify the expression