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Popular >

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

Solution

simplify

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

Solution

\frac{3}{5} - \frac{6}{5} i

Solution steps

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

Multiply by the conjugate

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

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

Simplify

\frac{3 i ( - 2 - i )}{( - 2 + i ) ( - 2 - i )} : \frac{- 6 i + 3}{5}

= \frac{- 6 i + 3}{5}

Rewrite in standard complex form:

\frac{3}{5} - \frac{6}{5} i

= \frac{3}{5} - \frac{6}{5} i

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(-5x+7)/((x+5)(3x-1))<0

\frac{- 5 x + 7}{( x + 5 ) ( 3 x - 1 )} < 0

Frequently Asked Questions (FAQ)

What is (3i)/(-2+i) ?
The solution to (3i)/(-2+i) is 3/5-6/5 i