What is (-3+10i)/(-6i) ?

The solution to (-3+10i)/(-6i) is -5/3-1/2 i

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simplify (-3+10i)/(-6i)

simplify

\frac{- 3 + 10 i}{- 6 i}

- \frac{5}{3} - \frac{1}{2} i

Solution steps

\frac{- 3 + 10 i}{- 6 i}

Multiply by the conjugate

\frac{- i}{- i}

= \frac{( - 3 + 10 i ) ( - i )}{- 6 i ( - i )}

Simplify

\frac{( - 3 + 10 i ) ( - i )}{- 6 i ( - i )} : \frac{3 i + 10}{- 6}

= \frac{3 i + 10}{- 6}

Rewrite in standard complex form:

- \frac{5}{3} - \frac{1}{2} i

= - \frac{5}{3} - \frac{1}{2} i

2 x^{2} \times 2 x^{2}

4 x (x - 3)

3 a - 12 ab

(2 a^{2} b^{3})^{3}

(\frac{x - 3}{2})^{2}