What is (-10-6i)/(-5-6i) ?

The solution to (-10-6i)/(-5-6i) is 86/61-30/61 i

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simplify (-10-6i)/(-5-6i)

simplify

\frac{- 10 - 6 i}{- 5 - 6 i}

\frac{86}{61} - \frac{30}{61} i

Solution steps

\frac{- 10 - 6 i}{- 5 - 6 i}

Multiply by the conjugate

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

= \frac{( - 10 - 6 i ) ( - 5 + 6 i )}{( - 5 - 6 i ) ( - 5 + 6 i )}

Simplify

\frac{( - 10 - 6 i ) ( - 5 + 6 i )}{( - 5 - 6 i ) ( - 5 + 6 i )} : \frac{86 - 30 i}{61}

= \frac{86 - 30 i}{61}

Rewrite in standard complex form:

\frac{86}{61} - \frac{30}{61} i

= \frac{86}{61} - \frac{30}{61} i

\frac{1}{x ^{2} - 10 x + 24} - \frac{2 x}{x - 6}

\frac{25}{18}

\frac{- 3 x + 7}{2} - \frac{- 2 x - 3}{2}

\frac{- 3 + 1}{2}

10 \cdot 3