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

The solution to (-10-5i)/(-6+6i) is 5/12+5/4 i

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

simplify

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

\frac{5}{12} + \frac{5}{4} i

Solution steps

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

Multiply by the conjugate

\frac{- 6 - 6 i}{- 6 - 6 i}

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

Simplify

\frac{( - 10 - 5 i ) ( - 6 - 6 i )}{( - 6 + 6 i ) ( - 6 - 6 i )} : \frac{30 + 90 i}{72}

= \frac{30 + 90 i}{72}

Apply the fraction rule:

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

= \frac{30}{72} + \frac{90}{72} i

Simplify

\frac{30}{72} + \frac{90}{72} i : \frac{5}{12} + \frac{5}{4} i

= \frac{5}{12} + \frac{5}{4} i

(8 x^{5} + 6 x^{3} - 2 x^{2} + 10 x) - (9 x^{5} - x^{3} - 13 x^{2} + 4)

(x^{m} - y^{n})^{2}

\frac{x ^{2} + 6 x + 9}{2 x ^{2} + 8 x + 6}

f (x + 1)

\frac{1}{16}