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Popular >

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

Solution

simplify

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

Solution

\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

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Frequently Asked Questions (FAQ)

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