What is (-4+10i)/(3+4i) ?

The solution to (-4+10i)/(3+4i) is 28/25+46/25 i

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simplify (-4+10i)/(3+4i)

simplify

\frac{- 4 + 10 i}{3 + 4 i}

\frac{28}{25} + \frac{46}{25} i

Solution steps

\frac{- 4 + 10 i}{3 + 4 i}

Multiply by the conjugate

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

= \frac{( - 4 + 10 i ) ( 3 - 4 i )}{( 3 + 4 i ) ( 3 - 4 i )}

Simplify

\frac{( - 4 + 10 i ) ( 3 - 4 i )}{( 3 + 4 i ) ( 3 - 4 i )} : \frac{28 + 46 i}{25}

= \frac{28 + 46 i}{25}

Rewrite in standard complex form:

\frac{28}{25} + \frac{46}{25} i

= \frac{28}{25} + \frac{46}{25} i

(x + 3)^{2} - 5

(x + 3)^{2} - 9

\frac{150}{200}

18 (2 + 6)

\frac{10 x + 25}{2 x ^{2} - x - 15}