What is (7-10i)/(-6-6i) ?

The solution to (7-10i)/(-6-6i) is 1/4+17/12 i

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simplify (7-10i)/(-6-6i)

simplify

\frac{7 - 10 i}{- 6 - 6 i}

\frac{1}{4} + \frac{17}{12} i

Solution steps

\frac{7 - 10 i}{- 6 - 6 i}

Multiply by the conjugate

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

= \frac{( 7 - 10 i ) ( - 6 + 6 i )}{( - 6 - 6 i ) ( - 6 + 6 i )}

Simplify

\frac{( 7 - 10 i ) ( - 6 + 6 i )}{( - 6 - 6 i ) ( - 6 + 6 i )} : \frac{18 + 102 i}{72}

= \frac{18 + 102 i}{72}

Apply the fraction rule:

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

= \frac{18}{72} + \frac{102}{72} i

Simplify

\frac{18}{72} + \frac{102}{72} i : \frac{1}{4} + \frac{17}{12} i

= \frac{1}{4} + \frac{17}{12} i

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