What is ((26+39i))/((2-3i)) ?

The solution to ((26+39i))/((2-3i)) is -5+12i

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simplify ((26+39i))/((2-3i))

simplify

\frac{( 26 + 39 i )}{( 2 - 3 i )}

- 5 + 12 i

Solution steps

\frac{26 + 39 i}{2 - 3 i}

Multiply by the conjugate

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

= \frac{( 26 + 39 i ) ( 2 + 3 i )}{( 2 - 3 i ) ( 2 + 3 i )}

Simplify

\frac{( 26 + 39 i ) ( 2 + 3 i )}{( 2 - 3 i ) ( 2 + 3 i )} : \frac{- 65 + 156 i}{13}

= \frac{- 65 + 156 i}{13}

Apply the fraction rule:

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

= \frac{- 65}{13} + \frac{156}{13} i

Simplify

\frac{- 65}{13} + \frac{156}{13} i : - 5 + 12 i

= - 5 + 12 i

- 7 \cdot (- 2)

(0.5)^{- 2}

(t + h)^{3}

\frac{5}{2 x}

\frac{60}{10}