What is (20-28i)/(-4+4i) ?

The solution to (20-28i)/(-4+4i) is -6+i

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simplify (20-28i)/(-4+4i)

simplify

\frac{20 - 28 i}{- 4 + 4 i}

- 6 + i

Solution steps

\frac{20 - 28 i}{- 4 + 4 i}

Multiply by the conjugate

\frac{- 4 - 4 i}{- 4 - 4 i}

= \frac{( 20 - 28 i ) ( - 4 - 4 i )}{( - 4 + 4 i ) ( - 4 - 4 i )}

Simplify

\frac{( 20 - 28 i ) ( - 4 - 4 i )}{( - 4 + 4 i ) ( - 4 - 4 i )} : \frac{- 192 + 32 i}{32}

= \frac{- 192 + 32 i}{32}

Apply the fraction rule:

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

= \frac{- 192}{32} + \frac{32}{32} i

Simplify

\frac{- 192}{32} + \frac{32}{32} i : - 6 + i

= - 6 + i

(- x + 4) (3 x^{2} - 2 x - 7)

5 \times \frac{3}{4}

+ t^{3} + 64

- \frac{1}{3} \times (- 3)