What is (-2-3i)/(1+i) ?

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

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simplify (-2-3i)/(1+i)

simplify

\frac{- 2 - 3 i}{1 + i}

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

Solution steps

\frac{- 2 - 3 i}{1 + i}

Multiply by the conjugate

\frac{1 - i}{1 - i}

= \frac{( - 2 - 3 i ) ( 1 - i )}{( 1 + i ) ( 1 - i )}

Simplify

\frac{( - 2 - 3 i ) ( 1 - i )}{( 1 + i ) ( 1 - i )} : \frac{- 5 - i}{2}

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

Apply the fraction rule:

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

= \frac{- 5}{2} + \frac{- 1}{2} i

Simplify

\frac{- 5}{2} + \frac{- 1}{2} i : - \frac{5}{2} - \frac{1}{2} i

= - \frac{5}{2} - \frac{1}{2} i

(2 + x)^{5}

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