What is (-3-2i)/(-7+4i) ?

The solution to (-3-2i)/(-7+4i) is 1/5+2/5 i

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simplify (-3-2i)/(-7+4i)

simplify

\frac{- 3 - 2 i}{- 7 + 4 i}

\frac{1}{5} + \frac{2}{5} i

Solution steps

\frac{- 3 - 2 i}{- 7 + 4 i}

Multiply by the conjugate

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

= \frac{( - 3 - 2 i ) ( - 7 - 4 i )}{( - 7 + 4 i ) ( - 7 - 4 i )}

Simplify

\frac{( - 3 - 2 i ) ( - 7 - 4 i )}{( - 7 + 4 i ) ( - 7 - 4 i )} : \frac{13 + 26 i}{65}

= \frac{13 + 26 i}{65}

Apply the fraction rule:

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

= \frac{13}{65} + \frac{26}{65} i

Simplify

\frac{13}{65} + \frac{26}{65} i : \frac{1}{5} + \frac{2}{5} i

= \frac{1}{5} + \frac{2}{5} i

3 \times 25

(3 x - 1) (x^{2} + 9 x + 4)

x^{2} \times x^{5}

\frac{10}{6 + 2 i}

\frac{2}{12}