What is (-22-6i)/(4+7i) ?

The solution to (-22-6i)/(4+7i) is -2+2i

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simplify (-22-6i)/(4+7i)

simplify

\frac{- 22 - 6 i}{4 + 7 i}

- 2 + 2 i

Solution steps

\frac{- 22 - 6 i}{4 + 7 i}

Multiply by the conjugate

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

= \frac{( - 22 - 6 i ) ( 4 - 7 i )}{( 4 + 7 i ) ( 4 - 7 i )}

Simplify

\frac{( - 22 - 6 i ) ( 4 - 7 i )}{( 4 + 7 i ) ( 4 - 7 i )} : \frac{- 130 + 130 i}{65}

= \frac{- 130 + 130 i}{65}

Apply the fraction rule:

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

= \frac{- 130}{65} + \frac{130}{65} i

Simplify

\frac{- 130}{65} + \frac{130}{65} i : - 2 + 2 i

= - 2 + 2 i

(9 x - 13 x^{3} + 12 - 15 x^{2}) \cdot (- 2 x^{3})

x^{7} + x^{5} + 2 x

\frac{16}{36}

4 (3 x + 2)

- 5 + \frac{1}{2}