What is (-3-7i)/(7+10i) ?

The solution to (-3-7i)/(7+10i) is -91/149-19/149 i

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simplify (-3-7i)/(7+10i)

simplify

\frac{- 3 - 7 i}{7 + 10 i}

- \frac{91}{149} - \frac{19}{149} i

Solution steps

\frac{- 3 - 7 i}{7 + 10 i}

Multiply by the conjugate

\frac{7 - 10 i}{7 - 10 i}

= \frac{( - 3 - 7 i ) ( 7 - 10 i )}{( 7 + 10 i ) ( 7 - 10 i )}

Simplify

\frac{( - 3 - 7 i ) ( 7 - 10 i )}{( 7 + 10 i ) ( 7 - 10 i )} : \frac{- 91 - 19 i}{149}

= \frac{- 91 - 19 i}{149}

Apply the fraction rule:

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

= \frac{- 91}{149} + \frac{- 19}{149} i

Simplify

\frac{- 91}{149} + \frac{- 19}{149} i : - \frac{91}{149} - \frac{19}{149} i

= - \frac{91}{149} - \frac{19}{149} i

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

(- 3 u + 2 v + 5 w) + (5 u + v - 7 w)

2 x (2 - x)

(\frac{e ^{y} - e ^{- y}}{2})^{2}

\frac{1}{32} + 0.26