What is (10+15i)/(-2i) ?

The solution to (10+15i)/(-2i) is -15/2+5i

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simplify (10+15i)/(-2i)

simplify

\frac{10 + 15 i}{- 2 i}

- \frac{15}{2} + 5 i

Solution steps

\frac{10 + 15 i}{- 2 i}

Multiply by the conjugate

\frac{- i}{- i}

= \frac{( 10 + 15 i ) ( - i )}{- 2 i ( - i )}

Simplify

\frac{( 10 + 15 i ) ( - i )}{- 2 i ( - i )} : \frac{- 10 i + 15}{- 2}

= \frac{- 10 i + 15}{- 2}

Rewrite in standard complex form:

- \frac{15}{2} + 5 i

= - \frac{15}{2} + 5 i

\frac{- 9}{9}

(3 a + b) (3 a - b)

1 0^{2} + 4^{2}

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

(\frac{f}{g}) (3)