What is (-3-6i)/(8+8i) ?

The solution to (-3-6i)/(8+8i) is -9/16-3/16 i

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simplify (-3-6i)/(8+8i)

simplify

\frac{- 3 - 6 i}{8 + 8 i}

- \frac{9}{16} - \frac{3}{16} i

Solution steps

\frac{- 3 - 6 i}{8 + 8 i}

Multiply by the conjugate

\frac{8 - 8 i}{8 - 8 i}

= \frac{( - 3 - 6 i ) ( 8 - 8 i )}{( 8 + 8 i ) ( 8 - 8 i )}

Simplify

\frac{( - 3 - 6 i ) ( 8 - 8 i )}{( 8 + 8 i ) ( 8 - 8 i )} : \frac{- 72 - 24 i}{128}

= \frac{- 72 - 24 i}{128}

Apply the fraction rule:

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

= \frac{- 72}{128} + \frac{- 24}{128} i

Simplify

\frac{- 72}{128} + \frac{- 24}{128} i : - \frac{9}{16} - \frac{3}{16} i

= - \frac{9}{16} - \frac{3}{16} i

5 x^{2} + 16 x + 3

244

9 t^{2} - 30 t + 25

(4^{3})^{5}

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