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

\frac{1}{8} + \frac{5}{10}

24 t y - 18 t + 4 y - 3

\frac{e ^{x}}{e ^{x}}

- 2 x^{2} = - 168

x^{2} + 2 x y - 15 y^{2}