What is ((3-2i))/((-2+7i)) ?

The solution to ((3-2i))/((-2+7i)) is -20/53-17/53 i

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simplify ((3-2i))/((-2+7i))

simplify

\frac{( 3 - 2 i )}{( - 2 + 7 i )}

- \frac{20}{53} - \frac{17}{53} i

Solution steps

\frac{3 - 2 i}{- 2 + 7 i}

Multiply by the conjugate

\frac{- 2 - 7 i}{- 2 - 7 i}

= \frac{( 3 - 2 i ) ( - 2 - 7 i )}{( - 2 + 7 i ) ( - 2 - 7 i )}

Simplify

\frac{( 3 - 2 i ) ( - 2 - 7 i )}{( - 2 + 7 i ) ( - 2 - 7 i )} : \frac{- 20 - 17 i}{53}

= \frac{- 20 - 17 i}{53}

Apply the fraction rule:

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

= \frac{- 20}{53} + \frac{- 17}{53} i

Simplify

\frac{- 20}{53} + \frac{- 17}{53} i : - \frac{20}{53} - \frac{17}{53} i

= - \frac{20}{53} - \frac{17}{53} i

(x + 6)^{2}

- ln (4)

5.5 \cdot 0.4 = \frac{3}{44} \cdot 0.082 \cdot T

\frac{x}{2} \geq \frac{35}{x + 1} + 1

g^{2} - 2 g - 63

What is ((3-2i))/((-2+7i)) ?
The solution to ((3-2i))/((-2+7i)) is -20/53-17/53 i