What is ((-4+2i))/((1+i)) ?

The solution to ((-4+2i))/((1+i)) is -1+3i

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simplify ((-4+2i))/((1+i))

simplify

\frac{( - 4 + 2 i )}{( 1 + i )}

- 1 + 3 i

Solution steps

\frac{- 4 + 2 i}{1 + i}

Multiply by the conjugate

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

= \frac{( - 4 + 2 i ) ( 1 - i )}{( 1 + i ) ( 1 - i )}

Simplify

\frac{( - 4 + 2 i ) ( 1 - i )}{( 1 + i ) ( 1 - i )} : \frac{- 2 + 6 i}{2}

= \frac{- 2 + 6 i}{2}

Apply the fraction rule:

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

= \frac{- 2}{2} + \frac{6}{2} i

Simplify

\frac{- 2}{2} + \frac{6}{2} i : - 1 + 3 i

= - 1 + 3 i

3 a (2 b - 7)

- 17 + 2 (6 x - 1) + 5

- \frac{1}{2}

- 9 - 2

\frac{2}{1 + ( x - 1 ) ^{2} ( x + 3 ) ^{2}}