What is (-10+5i)/(-2i-1) ?

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

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simplify (-10+5i)/(-2i-1)

simplify

\frac{- 10 + 5 i}{- 2 i - 1}

- 5 i

Solution steps

\frac{- 10 + 5 i}{- 2 i - 1}

Rewrite

- 2 i - 1

in standard complex form:

- 1 - 2 i

= \frac{- 10 + 5 i}{- 1 - 2 i}

Multiply by the conjugate

\frac{- 1 + 2 i}{- 1 + 2 i}

= \frac{( - 10 + 5 i ) ( - 1 + 2 i )}{( - 1 - 2 i ) ( - 1 + 2 i )}

Simplify

\frac{( - 10 + 5 i ) ( - 1 + 2 i )}{( - 1 - 2 i ) ( - 1 + 2 i )} : \frac{- 25 i}{5}

= \frac{- 25 i}{5}

Divide the numbers:

\frac{25}{5} = 5

= - 5 i

- 2 x^{2} + 10 x - 12

\frac{2 ^{4 n + 5}}{2 ^{n + 2}}

321 + 721

- 25 + 4

\frac{1}{3 ( - 1 ) ^{\frac{2}{3}}}