What is (-21-15i)/(-1-6i) ?

The solution to (-21-15i)/(-1-6i) is 3-3i

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simplify (-21-15i)/(-1-6i)

simplify

\frac{- 21 - 15 i}{- 1 - 6 i}

3 - 3 i

Solution steps

\frac{- 21 - 15 i}{- 1 - 6 i}

Multiply by the conjugate

\frac{- 1 + 6 i}{- 1 + 6 i}

= \frac{( - 21 - 15 i ) ( - 1 + 6 i )}{( - 1 - 6 i ) ( - 1 + 6 i )}

Simplify

\frac{( - 21 - 15 i ) ( - 1 + 6 i )}{( - 1 - 6 i ) ( - 1 + 6 i )} : \frac{111 - 111 i}{37}

= \frac{111 - 111 i}{37}

Apply the fraction rule:

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

= \frac{111}{37} + \frac{- 111}{37} i

Simplify

\frac{111}{37} + \frac{- 111}{37} i : 3 - 3 i

= 3 - 3 i

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