What is (5i)/(2-3i) ?

The solution to (5i)/(2-3i) is -15/13+10/13 i

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simplify (5i)/(2-3i)

simplify

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

- \frac{15}{13} + \frac{10}{13} i

Solution steps

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

Multiply by the conjugate

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

= \frac{5 i ( 2 + 3 i )}{( 2 - 3 i ) ( 2 + 3 i )}

Simplify

\frac{5 i ( 2 + 3 i )}{( 2 - 3 i ) ( 2 + 3 i )} : \frac{10 i - 15}{13}

= \frac{10 i - 15}{13}

Rewrite in standard complex form:

- \frac{15}{13} + \frac{10}{13} i

= - \frac{15}{13} + \frac{10}{13} i

3 x^{2} + 6 x y + 3 y^{2}

5 x - 6 = 3 x

\frac{5 x - 3}{4} - \frac{x - 2}{6} = \frac{5 - 2 x}{2}

8 x^{2} + 16 x - 64

6 x^{2} - 17 x + 12