What is (2+7i)/(3-3i) ?

The solution to (2+7i)/(3-3i) is -5/6+3/2 i

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simplify (2+7i)/(3-3i)

simplify

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

- \frac{5}{6} + \frac{3}{2} i

Solution steps

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

Multiply by the conjugate

\frac{3 + 3 i}{3 + 3 i}

= \frac{( 2 + 7 i ) ( 3 + 3 i )}{( 3 - 3 i ) ( 3 + 3 i )}

Simplify

\frac{( 2 + 7 i ) ( 3 + 3 i )}{( 3 - 3 i ) ( 3 + 3 i )} : \frac{- 15 + 27 i}{18}

= \frac{- 15 + 27 i}{18}

Apply the fraction rule:

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

= \frac{- 15}{18} + \frac{27}{18} i

Simplify

\frac{- 15}{18} + \frac{27}{18} i : - \frac{5}{6} + \frac{3}{2} i

= - \frac{5}{6} + \frac{3}{2} i

\frac{1}{5}

(2 y - 3)^{2}

- 2 (x + 3)

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

\frac{1}{x ^{3}}