What is (12i)/(3-3i) ?

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

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simplify (12i)/(3-3i)

simplify

\frac{12 i}{3 - 3 i}

- 2 + 2 i

Solution steps

\frac{12 i}{3 - 3 i}

Multiply by the conjugate

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

= \frac{12 i ( 3 + 3 i )}{( 3 - 3 i ) ( 3 + 3 i )}

Simplify

\frac{12 i ( 3 + 3 i )}{( 3 - 3 i ) ( 3 + 3 i )} : \frac{36 i - 36}{18}

= \frac{36 i - 36}{18}

Rewrite in standard complex form:

- 2 + 2 i

= - 2 + 2 i

2 (5 x + 8) = 6 x + 20

\frac{( 2 + 3 i )}{( 3 + 4 i )}

\frac{p ^{- 8}}{7 ^{- 2} q ^{- 9}}

5 x^{2} + x - 6 = 0

\frac{- 2}{3}