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

The solution to (7i)/(-4+8i) is 7/10-7/20 i

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

simplify

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

\frac{7}{10} - \frac{7}{20} i

Solution steps

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

Multiply by the conjugate

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

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

Simplify

\frac{7 i ( - 4 - 8 i )}{( - 4 + 8 i ) ( - 4 - 8 i )} : \frac{- 28 i + 56}{80}

= \frac{- 28 i + 56}{80}

Rewrite in standard complex form:

\frac{7}{10} - \frac{7}{20} i

= \frac{7}{10} - \frac{7}{20} i

5 \frac{3}{5}

16 \cdot (- 3)

2^{- 2} + 4

\frac{68}{357}

\frac{1}{16 - x ^{2}}