What is (24+2i)/(-3+7i) ?

The solution to (24+2i)/(-3+7i) is -1-3i

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simplify (24+2i)/(-3+7i)

simplify

\frac{24 + 2 i}{- 3 + 7 i}

- 1 - 3 i

Solution steps

\frac{24 + 2 i}{- 3 + 7 i}

Multiply by the conjugate

\frac{- 3 - 7 i}{- 3 - 7 i}

= \frac{( 24 + 2 i ) ( - 3 - 7 i )}{( - 3 + 7 i ) ( - 3 - 7 i )}

Simplify

\frac{( 24 + 2 i ) ( - 3 - 7 i )}{( - 3 + 7 i ) ( - 3 - 7 i )} : \frac{- 58 - 174 i}{58}

= \frac{- 58 - 174 i}{58}

Apply the fraction rule:

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

= \frac{- 58}{58} + \frac{- 174}{58} i

Simplify

\frac{- 58}{58} + \frac{- 174}{58} i : - 1 - 3 i

= - 1 - 3 i

- 4 \times (- 5)

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- 12 - 6 p - (- 2)

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