What is (-5-2i)/(6i) ?

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

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simplify (-5-2i)/(6i)

simplify

\frac{- 5 - 2 i}{6 i}

- \frac{1}{3} + \frac{5}{6} i

Solution steps

\frac{- 5 - 2 i}{6 i}

Multiply by the conjugate

\frac{- i}{- i}

= \frac{( - 5 - 2 i ) ( - i )}{6 i ( - i )}

Simplify

\frac{( - 5 - 2 i ) ( - i )}{6 i ( - i )} : \frac{5 i - 2}{6}

= \frac{5 i - 2}{6}

Rewrite

5 i - 2

in standard complex form:

- 2 + 5 i

= \frac{- 2 + 5 i}{6}

Apply the fraction rule:

\frac{a + bi}{c} = \frac{a}{c} + \frac{b}{c} i

= \frac{- 2}{6} + \frac{5}{6} i

Cancel

\frac{- 2}{6} : - \frac{1}{3}

= - \frac{1}{3} + \frac{5}{6} i

(7 - i) - (- 5 + 6 i)

7 (x + 4)

126 + 56

\frac{a ^{3} a ^{2}}{a}

5 x^{5} - 20 x^{3} + 5 x^{2} - 20