What is ((z-3i))/((5i)) ?

The solution to ((z-3i))/((5i)) is -3/5-z/5 i

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simplify ((z-3i))/((5i))

simplify

\frac{( z - 3 i )}{( 5 i )}

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

Solution steps

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

Multiply by the conjugate

\frac{- i}{- i}

= \frac{( z - 3 i ) ( - i )}{5 i ( - i )}

Simplify

\frac{( z - 3 i ) ( - i )}{5 i ( - i )} : \frac{- z i - 3}{5}

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

Rewrite in standard complex form:

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

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

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