What is (-4-28i)/(-4-8i) ?

The solution to (-4-28i)/(-4-8i) is 3+i

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simplify (-4-28i)/(-4-8i)

simplify

\frac{- 4 - 28 i}{- 4 - 8 i}

3 + i

Solution steps

\frac{- 4 - 28 i}{- 4 - 8 i}

Multiply by the conjugate

\frac{- 4 + 8 i}{- 4 + 8 i}

= \frac{( - 4 - 28 i ) ( - 4 + 8 i )}{( - 4 - 8 i ) ( - 4 + 8 i )}

Simplify

\frac{( - 4 - 28 i ) ( - 4 + 8 i )}{( - 4 - 8 i ) ( - 4 + 8 i )} : \frac{240 + 80 i}{80}

= \frac{240 + 80 i}{80}

Apply the fraction rule:

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

= \frac{240}{80} + \frac{80}{80} i

Simplify

\frac{240}{80} + \frac{80}{80} i : 3 + i

= 3 + i

(x + 1) (3 x^{2} - 10 x + 8)

x (2 x - 5)

(7 x + 2)^{2}

- 5 4 x^{2}

\frac{20}{45}