What is (-7+3i)/(5+2i) ?

The solution to (-7+3i)/(5+2i) is -1+i

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simplify (-7+3i)/(5+2i)

simplify

\frac{- 7 + 3 i}{5 + 2 i}

- 1 + i

Solution steps

\frac{- 7 + 3 i}{5 + 2 i}

Multiply by the conjugate

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

= \frac{( - 7 + 3 i ) ( 5 - 2 i )}{( 5 + 2 i ) ( 5 - 2 i )}

Simplify

\frac{( - 7 + 3 i ) ( 5 - 2 i )}{( 5 + 2 i ) ( 5 - 2 i )} : \frac{- 29 + 29 i}{29}

= \frac{- 29 + 29 i}{29}

Apply the fraction rule:

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

= \frac{- 29}{29} + \frac{29}{29} i

Simplify

\frac{- 29}{29} + \frac{29}{29} i : - 1 + i

= - 1 + i

(\frac{6 m ^{2} n p ^{- 1}}{- 3 p ^{2} r ^{- 2}})^{4}

(3 - y)^{2}

x^{3} + \frac{1}{x ^{3}}

(\frac{1}{2} - b)^{2}

(4 t^{3} - 5)^{2}