What is (-12-26i)/(4-5i) ?

The solution to (-12-26i)/(4-5i) is 2-4i

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simplify (-12-26i)/(4-5i)

simplify

\frac{- 12 - 26 i}{4 - 5 i}

2 - 4 i

Solution steps

\frac{- 12 - 26 i}{4 - 5 i}

Multiply by the conjugate

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

= \frac{( - 12 - 26 i ) ( 4 + 5 i )}{( 4 - 5 i ) ( 4 + 5 i )}

Simplify

\frac{( - 12 - 26 i ) ( 4 + 5 i )}{( 4 - 5 i ) ( 4 + 5 i )} : \frac{82 - 164 i}{41}

= \frac{82 - 164 i}{41}

Apply the fraction rule:

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

= \frac{82}{41} + \frac{- 164}{41} i

Simplify

\frac{82}{41} + \frac{- 164}{41} i : 2 - 4 i

= 2 - 4 i

- 2 (0)

(2 x^{5})^{3}

(4 a^{3} - 8 a - 4 a^{2}) + (7 a^{3} - 7 - 6 a)

- \frac{6}{- 6}

- 4 x + 2