What is (-10-7i)/(2-i) ?

The solution to (-10-7i)/(2-i) is -13/5-24/5 i

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simplify (-10-7i)/(2-i)

simplify

\frac{- 10 - 7 i}{2 - i}

- \frac{13}{5} - \frac{24}{5} i

Solution steps

\frac{- 10 - 7 i}{2 - i}

Multiply by the conjugate

\frac{2 + i}{2 + i}

= \frac{( - 10 - 7 i ) ( 2 + i )}{( 2 - i ) ( 2 + i )}

Simplify

\frac{( - 10 - 7 i ) ( 2 + i )}{( 2 - i ) ( 2 + i )} : \frac{- 13 - 24 i}{5}

= \frac{- 13 - 24 i}{5}

Apply the fraction rule:

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

= \frac{- 13}{5} + \frac{- 24}{5} i

Simplify

\frac{- 13}{5} + \frac{- 24}{5} i : - \frac{13}{5} - \frac{24}{5} i

= - \frac{13}{5} - \frac{24}{5} i

1 \times 5

(2 x + 1) (x^{2} - 4 x + 8)

\frac{- 3 - 9 i}{- 1 + 10 i}

\frac{4 !}{( 4 - 4 ) !}