What is (-24-23i)/(-7-4i) ?

The solution to (-24-23i)/(-7-4i) is 4+i

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simplify (-24-23i)/(-7-4i)

simplify

\frac{- 24 - 23 i}{- 7 - 4 i}

4 + i

Solution steps

\frac{- 24 - 23 i}{- 7 - 4 i}

Multiply by the conjugate

\frac{- 7 + 4 i}{- 7 + 4 i}

= \frac{( - 24 - 23 i ) ( - 7 + 4 i )}{( - 7 - 4 i ) ( - 7 + 4 i )}

Simplify

\frac{( - 24 - 23 i ) ( - 7 + 4 i )}{( - 7 - 4 i ) ( - 7 + 4 i )} : \frac{260 + 65 i}{65}

= \frac{260 + 65 i}{65}

Apply the fraction rule:

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

= \frac{260}{65} + \frac{65}{65} i

Simplify

\frac{260}{65} + \frac{65}{65} i : 4 + i

= 4 + i

\frac{8 p}{7} - \frac{p + 14}{7}

5 \div \frac{1}{5}

(x - 2) \cdot (x + 2)

lo g_{10} (\frac{1}{1000})

\frac{2 x ^{2} + 5 x - 3}{x + 3}