What is (-32+8i)/(5+3i) ?

The solution to (-32+8i)/(5+3i) is -4+4i

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simplify (-32+8i)/(5+3i)

simplify

\frac{- 32 + 8 i}{5 + 3 i}

- 4 + 4 i

Solution steps

\frac{- 32 + 8 i}{5 + 3 i}

Multiply by the conjugate

\frac{5 - 3 i}{5 - 3 i}

= \frac{( - 32 + 8 i ) ( 5 - 3 i )}{( 5 + 3 i ) ( 5 - 3 i )}

Simplify

\frac{( - 32 + 8 i ) ( 5 - 3 i )}{( 5 + 3 i ) ( 5 - 3 i )} : \frac{- 136 + 136 i}{34}

= \frac{- 136 + 136 i}{34}

Apply the fraction rule:

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

= \frac{- 136}{34} + \frac{136}{34} i

Simplify

\frac{- 136}{34} + \frac{136}{34} i : - 4 + 4 i

= - 4 + 4 i

5 x y 28 x + 63 x^{3} y^{2}

f = \frac{10 - 3}{1 0 ^{2} - 2}

- 3 w = - \frac{9}{7}

∣ - 4 y + 4 ∣ = ∣ - 5 y - 3 ∣

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