What is (5+3i)/(-10-3i) ?

The solution to (5+3i)/(-10-3i) is -59/109-15/109 i

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simplify (5+3i)/(-10-3i)

simplify

\frac{5 + 3 i}{- 10 - 3 i}

- \frac{59}{109} - \frac{15}{109} i

Solution steps

\frac{5 + 3 i}{- 10 - 3 i}

Multiply by the conjugate

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

= \frac{( 5 + 3 i ) ( - 10 + 3 i )}{( - 10 - 3 i ) ( - 10 + 3 i )}

Simplify

\frac{( 5 + 3 i ) ( - 10 + 3 i )}{( - 10 - 3 i ) ( - 10 + 3 i )} : \frac{- 59 - 15 i}{109}

= \frac{- 59 - 15 i}{109}

Apply the fraction rule:

\frac{a + bi}{c} = \frac{a}{c} + \frac{b}{c} i

= \frac{- 59}{109} + \frac{- 15}{109} i

Simplify

\frac{- 59}{109} + \frac{- 15}{109} i : - \frac{59}{109} - \frac{15}{109} i

= - \frac{59}{109} - \frac{15}{109} i

1 6^{0.25}

\frac{1}{2} \div \frac{3}{5}

\frac{1}{2} \div \frac{3}{2}

3 5 a \cdot 8 35 a^{2}

\frac{p ^{2} - 3 p - 10}{p ^{2} + p - 2}