What is (6+5i)/(-6-3i) ?

The solution to (6+5i)/(-6-3i) is -17/15-4/15 i

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simplify (6+5i)/(-6-3i)

simplify

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

- \frac{17}{15} - \frac{4}{15} i

Solution steps

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

Multiply by the conjugate

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

= \frac{( 6 + 5 i ) ( - 6 + 3 i )}{( - 6 - 3 i ) ( - 6 + 3 i )}

Simplify

\frac{( 6 + 5 i ) ( - 6 + 3 i )}{( - 6 - 3 i ) ( - 6 + 3 i )} : \frac{- 51 - 12 i}{45}

= \frac{- 51 - 12 i}{45}

Apply the fraction rule:

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

= \frac{- 51}{45} + \frac{- 12}{45} i

Simplify

\frac{- 51}{45} + \frac{- 12}{45} i : - \frac{17}{15} - \frac{4}{15} i

= - \frac{17}{15} - \frac{4}{15} i

\frac{2 x ^{3} - 11 x ^{2} + 25}{x - 5}

- x^{3} - x^{2} + x + 1

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

\frac{\frac{1}{x}}{1}

lo g_{3} (2187)