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

2 (x - 2)^{2}

lo g_{10} (1 0^{- 2})

(x - 10) (x + 2)

\frac{6}{10} \div \frac{2}{4} \div \frac{9}{3} \div \frac{14}{7}

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