What is (-6-4i)/(-2-4i) ?

The solution to (-6-4i)/(-2-4i) is 7/5-4/5 i

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simplify (-6-4i)/(-2-4i)

simplify

\frac{- 6 - 4 i}{- 2 - 4 i}

\frac{7}{5} - \frac{4}{5} i

Solution steps

\frac{- 6 - 4 i}{- 2 - 4 i}

Multiply by the conjugate

\frac{- 2 + 4 i}{- 2 + 4 i}

= \frac{( - 6 - 4 i ) ( - 2 + 4 i )}{( - 2 - 4 i ) ( - 2 + 4 i )}

Simplify

\frac{( - 6 - 4 i ) ( - 2 + 4 i )}{( - 2 - 4 i ) ( - 2 + 4 i )} : \frac{28 - 16 i}{20}

= \frac{28 - 16 i}{20}

Apply the fraction rule:

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

= \frac{28}{20} + \frac{- 16}{20} i

Simplify

\frac{28}{20} + \frac{- 16}{20} i : \frac{7}{5} - \frac{4}{5} i

= \frac{7}{5} - \frac{4}{5} i

- 10 + 5

\frac{- 3 + 3 i}{- 5 - 4 i}

\frac{18}{100}

33 \frac{1}{3}

(28 - 4 i) - (10 - 30 i)