What is (22-14i)/(-1+2i) ?

The solution to (22-14i)/(-1+2i) is -10-6i

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simplify (22-14i)/(-1+2i)

simplify

\frac{22 - 14 i}{- 1 + 2 i}

- 10 - 6 i

Solution steps

\frac{22 - 14 i}{- 1 + 2 i}

Multiply by the conjugate

\frac{- 1 - 2 i}{- 1 - 2 i}

= \frac{( 22 - 14 i ) ( - 1 - 2 i )}{( - 1 + 2 i ) ( - 1 - 2 i )}

Simplify

\frac{( 22 - 14 i ) ( - 1 - 2 i )}{( - 1 + 2 i ) ( - 1 - 2 i )} : \frac{- 50 - 30 i}{5}

= \frac{- 50 - 30 i}{5}

Apply the fraction rule:

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

= \frac{- 50}{5} + \frac{- 30}{5} i

Simplify

\frac{- 50}{5} + \frac{- 30}{5} i : - 10 - 6 i

= - 10 - 6 i

\frac{3}{18}

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