What is (25-10i)/(5i) ?

The solution to (25-10i)/(5i) is -2-5i

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simplify (25-10i)/(5i)

simplify

\frac{25 - 10 i}{5 i}

- 2 - 5 i

Solution steps

\frac{25 - 10 i}{5 i}

Multiply by the conjugate

\frac{- i}{- i}

= \frac{( 25 - 10 i ) ( - i )}{5 i ( - i )}

Simplify

\frac{( 25 - 10 i ) ( - i )}{5 i ( - i )} : \frac{- 25 i - 10}{5}

= \frac{- 25 i - 10}{5}

Rewrite in standard complex form:

- 2 - 5 i

= - 2 - 5 i

- 3 x (7 x^{2} - 4 x + 9)

\frac{4}{9} + \frac{6}{18} - \frac{5}{3}

3 \cdot (- 2^{2})

3 \times 2 \times 2

\frac{6}{2}