Solve (3 - 4i)/((4 - 2i)(1 i))

Evaluate

\frac{3 - 4 i}{( 4 - 2 i ) ( 1 \times i )}

Remove the parentheses

\frac{3 - 4 i}{( 4 - 2 i ) \times 1 \times i}

Multiply the terms

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\frac{3 - 4 i}{2 + 4 i}

Multiply by the Conjugate

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

Calculate

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\frac{- 10 - 20 i}{( 2 + 4 i ) ( 2 - 4 i )}

Calculate

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\frac{- 10 - 20 i}{20}

Rewrite the expression

\frac{10 ( - 1 - 2 i )}{20}

Cancel out the common factor 10

\frac{- 1 - 2 i}{2}

Use \frac{- a}{b} = \frac{a}{- b} = - \frac{a}{b} to rewrite the fraction

- \frac{1 + 2 i}{2}

Solution

- \frac{1}{2} - i

Simplify the expression