What is (-26-26i)/(-6+4i) ?

The solution to (-26-26i)/(-6+4i) is 1+5i

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simplify (-26-26i)/(-6+4i)

simplify

\frac{- 26 - 26 i}{- 6 + 4 i}

1 + 5 i

Solution steps

\frac{- 26 - 26 i}{- 6 + 4 i}

Multiply by the conjugate

\frac{- 6 - 4 i}{- 6 - 4 i}

= \frac{( - 26 - 26 i ) ( - 6 - 4 i )}{( - 6 + 4 i ) ( - 6 - 4 i )}

Simplify

\frac{( - 26 - 26 i ) ( - 6 - 4 i )}{( - 6 + 4 i ) ( - 6 - 4 i )} : \frac{52 + 260 i}{52}

= \frac{52 + 260 i}{52}

Apply the fraction rule:

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

= \frac{52}{52} + \frac{260}{52} i

Simplify

\frac{52}{52} + \frac{260}{52} i : 1 + 5 i

= 1 + 5 i

- 7 + (- 2)

- \frac{2}{3} c - \frac{9}{5} + 14 c + \frac{3}{10}

1 - \frac{0.1}{2}

\frac{( x ^{2} - 5 x + 6 )}{( x - 2 )}

\frac{5}{8} + \frac{1}{6}