What is (-26-14i)/(3+10i) ?

The solution to (-26-14i)/(3+10i) is -2+2i

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simplify (-26-14i)/(3+10i)

simplify

\frac{- 26 - 14 i}{3 + 10 i}

- 2 + 2 i

Solution steps

\frac{- 26 - 14 i}{3 + 10 i}

Multiply by the conjugate

\frac{3 - 10 i}{3 - 10 i}

= \frac{( - 26 - 14 i ) ( 3 - 10 i )}{( 3 + 10 i ) ( 3 - 10 i )}

Simplify

\frac{( - 26 - 14 i ) ( 3 - 10 i )}{( 3 + 10 i ) ( 3 - 10 i )} : \frac{- 218 + 218 i}{109}

= \frac{- 218 + 218 i}{109}

Apply the fraction rule:

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

= \frac{- 218}{109} + \frac{218}{109} i

Simplify

\frac{- 218}{109} + \frac{218}{109} i : - 2 + 2 i

= - 2 + 2 i

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

- 14 \cdot - 18

\frac{1}{5} - \frac{2}{3}

- x \cdot x^{2}

\frac{1}{1 - cos ( θ )} + \frac{1}{1 + cos ( θ )}