What is (-5+5i)/(7+2i) ?

The solution to (-5+5i)/(7+2i) is -25/53+45/53 i

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simplify (-5+5i)/(7+2i)

simplify

\frac{- 5 + 5 i}{7 + 2 i}

- \frac{25}{53} + \frac{45}{53} i

Solution steps

\frac{- 5 + 5 i}{7 + 2 i}

Multiply by the conjugate

\frac{7 - 2 i}{7 - 2 i}

= \frac{( - 5 + 5 i ) ( 7 - 2 i )}{( 7 + 2 i ) ( 7 - 2 i )}

Simplify

\frac{( - 5 + 5 i ) ( 7 - 2 i )}{( 7 + 2 i ) ( 7 - 2 i )} : \frac{- 25 + 45 i}{53}

= \frac{- 25 + 45 i}{53}

Rewrite in standard complex form:

- \frac{25}{53} + \frac{45}{53} i

= - \frac{25}{53} + \frac{45}{53} i

x^{2} \times 2 x

\frac{4}{1 - 3}

(x - 6) (2 x - 7)

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

6 b^{3} + 18 b - 27 b^{2}