What is (3-4i)/(-2+2i) ?

The solution to (3-4i)/(-2+2i) is -7/4+1/4 i

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simplify (3-4i)/(-2+2i)

simplify

\frac{3 - 4 i}{- 2 + 2 i}

- \frac{7}{4} + \frac{1}{4} i

Solution steps

\frac{3 - 4 i}{- 2 + 2 i}

Multiply by the conjugate

\frac{- 2 - 2 i}{- 2 - 2 i}

= \frac{( 3 - 4 i ) ( - 2 - 2 i )}{( - 2 + 2 i ) ( - 2 - 2 i )}

Simplify

\frac{( 3 - 4 i ) ( - 2 - 2 i )}{( - 2 + 2 i ) ( - 2 - 2 i )} : \frac{- 14 + 2 i}{8}

= \frac{- 14 + 2 i}{8}

Apply the fraction rule:

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

= \frac{- 14}{8} + \frac{2}{8} i

Simplify

\frac{- 14}{8} + \frac{2}{8} i : - \frac{7}{4} + \frac{1}{4} i

= - \frac{7}{4} + \frac{1}{4} i

(4 x^{2} + y)^{2}

9 + (- 6)

ln (9 e)

(- 3) (9 - 8)

- x^{3} - 2 x^{4}