What is (-6i)/(3+2i) ?

The solution to (-6i)/(3+2i) is -12/13-18/13 i

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simplify (-6i)/(3+2i)

simplify

\frac{- 6 i}{3 + 2 i}

- \frac{12}{13} - \frac{18}{13} i

Solution steps

\frac{- 6 i}{3 + 2 i}

Multiply by the conjugate

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

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

Simplify

\frac{- 6 i ( 3 - 2 i )}{( 3 + 2 i ) ( 3 - 2 i )} : \frac{- 18 i - 12}{13}

= \frac{- 18 i - 12}{13}

Rewrite in standard complex form:

- \frac{12}{13} - \frac{18}{13} i

= - \frac{12}{13} - \frac{18}{13} i

1 \frac{1}{2} + 1 \frac{1}{3}

- \frac{3}{7}

10 - 5 (3 x + 2)

29.5