What is (-8+24i)/(4-4i) ?

The solution to (-8+24i)/(4-4i) is -4+2i

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simplify (-8+24i)/(4-4i)

simplify

\frac{- 8 + 24 i}{4 - 4 i}

- 4 + 2 i

Solution steps

\frac{- 8 + 24 i}{4 - 4 i}

Multiply by the conjugate

\frac{4 + 4 i}{4 + 4 i}

= \frac{( - 8 + 24 i ) ( 4 + 4 i )}{( 4 - 4 i ) ( 4 + 4 i )}

Simplify

\frac{( - 8 + 24 i ) ( 4 + 4 i )}{( 4 - 4 i ) ( 4 + 4 i )} : \frac{- 128 + 64 i}{32}

= \frac{- 128 + 64 i}{32}

Apply the fraction rule:

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

= \frac{- 128}{32} + \frac{64}{32} i

Simplify

\frac{- 128}{32} + \frac{64}{32} i : - 4 + 2 i

= - 4 + 2 i

\frac{- 63}{7}

3 x^{5} - 7 x^{4} + 2 x^{2} - 4 x

\frac{43 - 1}{4 + 2} 10

3 x^{2} + 5 x - 22

20 - 35 + 245