What is (-24-12i)/(3+9i) ?

The solution to (-24-12i)/(3+9i) is -2+2i

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simplify (-24-12i)/(3+9i)

simplify

\frac{- 24 - 12 i}{3 + 9 i}

- 2 + 2 i

Solution steps

\frac{- 24 - 12 i}{3 + 9 i}

Multiply by the conjugate

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

= \frac{( - 24 - 12 i ) ( 3 - 9 i )}{( 3 + 9 i ) ( 3 - 9 i )}

Simplify

\frac{( - 24 - 12 i ) ( 3 - 9 i )}{( 3 + 9 i ) ( 3 - 9 i )} : \frac{- 180 + 180 i}{90}

= \frac{- 180 + 180 i}{90}

Apply the fraction rule:

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

= \frac{- 180}{90} + \frac{180}{90} i

Simplify

\frac{- 180}{90} + \frac{180}{90} i : - 2 + 2 i

= - 2 + 2 i

\frac{1}{1} + \frac{1}{2}

(7 + 9 i) (7 + 4 i)

x (1 - x)

\frac{2}{5} \div 4

(x - 2)^{2}