What is ((5+2i))/((-4i)) ?

The solution to ((5+2i))/((-4i)) is -1/2+5/4 i

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simplify ((5+2i))/((-4i))

simplify

\frac{( 5 + 2 i )}{( - 4 i )}

- \frac{1}{2} + \frac{5}{4} i

Solution steps

\frac{5 + 2 i}{- 4 i}

Multiply by the conjugate

\frac{- i}{- i}

= \frac{( 5 + 2 i ) ( - i )}{- 4 i ( - i )}

Simplify

\frac{( 5 + 2 i ) ( - i )}{- 4 i ( - i )} : \frac{- 5 i + 2}{- 4}

= \frac{- 5 i + 2}{- 4}

Rewrite in standard complex form:

- \frac{1}{2} + \frac{5}{4} i

= - \frac{1}{2} + \frac{5}{4} i

x^{3} - x^{2} - 20 x

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

- 21 - 6 x \geq 3

\frac{x}{x - y} + \frac{y}{x + y}

27 x^{3} + 64