What is (-2-39i)/(6-5i) ?

The solution to (-2-39i)/(6-5i) is 3-4i

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simplify (-2-39i)/(6-5i)

simplify

\frac{- 2 - 39 i}{6 - 5 i}

3 - 4 i

Solution steps

\frac{- 2 - 39 i}{6 - 5 i}

Multiply by the conjugate

\frac{6 + 5 i}{6 + 5 i}

= \frac{( - 2 - 39 i ) ( 6 + 5 i )}{( 6 - 5 i ) ( 6 + 5 i )}

Simplify

\frac{( - 2 - 39 i ) ( 6 + 5 i )}{( 6 - 5 i ) ( 6 + 5 i )} : \frac{183 - 244 i}{61}

= \frac{183 - 244 i}{61}

Apply the fraction rule:

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

= \frac{183}{61} + \frac{- 244}{61} i

Simplify

\frac{183}{61} + \frac{- 244}{61} i : 3 - 4 i

= 3 - 4 i

- 2 x^{2} - 4

- 2 x^{2} - 9

- 2 x^{2} + 6

\frac{\frac{1}{5}}{5}

\frac{2}{3 + 7}