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

The solution to (-4)/(-3+2i) is 12/13+8/13 i

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

simplify

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

\frac{12}{13} + \frac{8}{13} i

Solution steps

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

Multiply by the conjugate

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

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

Simplify

\frac{- 4 ( - 3 - 2 i )}{( - 3 + 2 i ) ( - 3 - 2 i )} : \frac{12 + 8 i}{13}

= \frac{12 + 8 i}{13}

Rewrite in standard complex form:

\frac{12}{13} + \frac{8}{13} i

= \frac{12}{13} + \frac{8}{13} i

2 (- 27)^{\frac{8}{3}}

(- 2 + 6 i) - (12 + 8 i)

4 x^{2} = - 20 x - 25

x y + 6 y - 5 x - 30

\frac{x + 1}{x - 3} > 2