What is (3+5i)/(-4+3i) ?

The solution to (3+5i)/(-4+3i) is 3/25-29/25 i

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simplify (3+5i)/(-4+3i)

simplify

\frac{3 + 5 i}{- 4 + 3 i}

\frac{3}{25} - \frac{29}{25} i

Solution steps

\frac{3 + 5 i}{- 4 + 3 i}

Multiply by the conjugate

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

= \frac{( 3 + 5 i ) ( - 4 - 3 i )}{( - 4 + 3 i ) ( - 4 - 3 i )}

Simplify

\frac{( 3 + 5 i ) ( - 4 - 3 i )}{( - 4 + 3 i ) ( - 4 - 3 i )} : \frac{3 - 29 i}{25}

= \frac{3 - 29 i}{25}

Rewrite in standard complex form:

\frac{3}{25} - \frac{29}{25} i

= \frac{3}{25} - \frac{29}{25} i

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