What is (-3-15i)/(-2+3i) ?

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

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simplify (-3-15i)/(-2+3i)

simplify

\frac{- 3 - 15 i}{- 2 + 3 i}

- 3 + 3 i

Solution steps

\frac{- 3 - 15 i}{- 2 + 3 i}

Multiply by the conjugate

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

= \frac{( - 3 - 15 i ) ( - 2 - 3 i )}{( - 2 + 3 i ) ( - 2 - 3 i )}

Simplify

\frac{( - 3 - 15 i ) ( - 2 - 3 i )}{( - 2 + 3 i ) ( - 2 - 3 i )} : \frac{- 39 + 39 i}{13}

= \frac{- 39 + 39 i}{13}

Apply the fraction rule:

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

= \frac{- 39}{13} + \frac{39}{13} i

Simplify

\frac{- 39}{13} + \frac{39}{13} i : - 3 + 3 i

= - 3 + 3 i

3000 = 128 x + 150 + 100 + 150

(x^{6} + 1)^{\frac{5}{2}}

4 + \frac{2}{5}

(4 x^{2} y^{4})^{5}

\frac{3}{4} + \frac{1}{6}