What is (-30-10i)/(-8-6i) ?

The solution to (-30-10i)/(-8-6i) is 3-i

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simplify (-30-10i)/(-8-6i)

simplify

\frac{- 30 - 10 i}{- 8 - 6 i}

3 - i

Solution steps

\frac{- 30 - 10 i}{- 8 - 6 i}

Multiply by the conjugate

\frac{- 8 + 6 i}{- 8 + 6 i}

= \frac{( - 30 - 10 i ) ( - 8 + 6 i )}{( - 8 - 6 i ) ( - 8 + 6 i )}

Simplify

\frac{( - 30 - 10 i ) ( - 8 + 6 i )}{( - 8 - 6 i ) ( - 8 + 6 i )} : \frac{300 - 100 i}{100}

= \frac{300 - 100 i}{100}

Apply the fraction rule:

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

= \frac{300}{100} + \frac{- 100}{100} i

Simplify

\frac{300}{100} + \frac{- 100}{100} i : 3 - i

= 3 - i

\frac{30}{18}

3 ab + 6 a c - 9 a d

(\frac{1}{2} x - 3) (x + \frac{4}{3})

10 \cdot 1 0^{- 6}

\frac{x + 5}{x ^{2} - 2 x - 15} - \frac{1}{x - 5}