What is (14-8i)/(-6-4i) ?

The solution to (14-8i)/(-6-4i) is -1+2i

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simplify (14-8i)/(-6-4i)

simplify

\frac{14 - 8 i}{- 6 - 4 i}

- 1 + 2 i

Solution steps

\frac{14 - 8 i}{- 6 - 4 i}

Multiply by the conjugate

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

= \frac{( 14 - 8 i ) ( - 6 + 4 i )}{( - 6 - 4 i ) ( - 6 + 4 i )}

Simplify

\frac{( 14 - 8 i ) ( - 6 + 4 i )}{( - 6 - 4 i ) ( - 6 + 4 i )} : \frac{- 52 + 104 i}{52}

= \frac{- 52 + 104 i}{52}

Apply the fraction rule:

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

= \frac{- 52}{52} + \frac{104}{52} i

Simplify

\frac{- 52}{52} + \frac{104}{52} i : - 1 + 2 i

= - 1 + 2 i

\frac{22}{6}

150 \cdot 96

(a^{2} - b^{2})^{2}

(4 x^{3} + 2 y)^{2}

(2 m^{3})^{4}