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

The solution to ((3i))/(-3+i) is 3/10-9/10 i

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

simplify

\frac{( 3 i )}{- 3 + i}

\frac{3}{10} - \frac{9}{10} i

Solution steps

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

Multiply by the conjugate

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

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

Simplify

\frac{3 i ( - 3 - i )}{( - 3 + i ) ( - 3 - i )} : \frac{- 9 i + 3}{10}

= \frac{- 9 i + 3}{10}

Rewrite in standard complex form:

\frac{3}{10} - \frac{9}{10} i

= \frac{3}{10} - \frac{9}{10} i

5 \div \frac{1}{10}

\frac{120 - 100}{15}

(x - 3)^{2} (2 x + 5)

lo g_{3} (100)

x^{5} - 8 x^{4} + 16 x^{3}