What is (-24+28i)/(-10+6i) ?

The solution to (-24+28i)/(-10+6i) is 3-i

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simplify (-24+28i)/(-10+6i)

simplify

\frac{- 24 + 28 i}{- 10 + 6 i}

3 - i

Solution steps

\frac{- 24 + 28 i}{- 10 + 6 i}

Multiply by the conjugate

\frac{- 10 - 6 i}{- 10 - 6 i}

= \frac{( - 24 + 28 i ) ( - 10 - 6 i )}{( - 10 + 6 i ) ( - 10 - 6 i )}

Simplify

\frac{( - 24 + 28 i ) ( - 10 - 6 i )}{( - 10 + 6 i ) ( - 10 - 6 i )} : \frac{408 - 136 i}{136}

= \frac{408 - 136 i}{136}

Apply the fraction rule:

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

= \frac{408}{136} + \frac{- 136}{136} i

Simplify

\frac{408}{136} + \frac{- 136}{136} i : 3 - i

= 3 - i

(11 - 5 i) - (12 + 2 i)

\frac{7}{1}

\frac{2 ^{- 3}}{8 ^{- 1}}

(3 x + 4)^{3}

(x + 3) (2 x^{2} + 9 x - 2)