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

The solution to ((-3+2i))/(2*3/2+7i) is 5/58+27/58 i

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

simplify

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

\frac{5}{58} + \frac{27}{58} i

Solution steps

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

Multiply by the conjugate

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

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

Simplify

\frac{( - 3 + 2 i ) ( 2 \cdot \frac{3}{2} - 7 i )}{( 2 \cdot \frac{3}{2} + 7 i ) ( 2 \cdot \frac{3}{2} - 7 i )} : \frac{5 + 27 i}{58}

= \frac{5 + 27 i}{58}

Rewrite in standard complex form:

\frac{5}{58} + \frac{27}{58} i

= \frac{5}{58} + \frac{27}{58} i

e^{0} + C = 3

x = \frac{5000}{( 1.12 \cdot 1 0 ^{- 3} ) \cdot 20}

24 x^{4} + 56 x^{3}

14 < k + 11

What is ((-3+2i))/(2*3/2+7i) ?
The solution to ((-3+2i))/(2*3/2+7i) is 5/58+27/58 i