What is (-2-8i)/(8-6i) ?

The solution to (-2-8i)/(8-6i) is 8/25-19/25 i

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simplify (-2-8i)/(8-6i)

simplify

\frac{- 2 - 8 i}{8 - 6 i}

\frac{8}{25} - \frac{19}{25} i

Solution steps

\frac{- 2 - 8 i}{8 - 6 i}

Multiply by the conjugate

\frac{8 + 6 i}{8 + 6 i}

= \frac{( - 2 - 8 i ) ( 8 + 6 i )}{( 8 - 6 i ) ( 8 + 6 i )}

Simplify

\frac{( - 2 - 8 i ) ( 8 + 6 i )}{( 8 - 6 i ) ( 8 + 6 i )} : \frac{32 - 76 i}{100}

= \frac{32 - 76 i}{100}

Apply the fraction rule:

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

= \frac{32}{100} + \frac{- 76}{100} i

Simplify

\frac{32}{100} + \frac{- 76}{100} i : \frac{8}{25} - \frac{19}{25} i

= \frac{8}{25} - \frac{19}{25} i

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