What is (4i)/(-8-7i) ?

The solution to (4i)/(-8-7i) is -28/113-32/113 i

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simplify (4i)/(-8-7i)

simplify

\frac{4 i}{- 8 - 7 i}

- \frac{28}{113} - \frac{32}{113} i

Solution steps

\frac{4 i}{- 8 - 7 i}

Multiply by the conjugate

\frac{- 8 + 7 i}{- 8 + 7 i}

= \frac{4 i ( - 8 + 7 i )}{( - 8 - 7 i ) ( - 8 + 7 i )}

Simplify

\frac{4 i ( - 8 + 7 i )}{( - 8 - 7 i ) ( - 8 + 7 i )} : \frac{- 32 i - 28}{113}

= \frac{- 32 i - 28}{113}

Rewrite in standard complex form:

- \frac{28}{113} - \frac{32}{113} i

= - \frac{28}{113} - \frac{32}{113} i

\frac{1}{3} + \frac{5}{8}

∣ x + 4 ∣ = ∣ x - 7 ∣

(3 y)^{2}

\frac{128 x ^{3} z ^{3}}{46 x y ^{2} z}

620 + 45