What is (-5-3i)/(7-10i) ?

The solution to (-5-3i)/(7-10i) is -5/149-71/149 i

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simplify (-5-3i)/(7-10i)

simplify

\frac{- 5 - 3 i}{7 - 10 i}

- \frac{5}{149} - \frac{71}{149} i

Solution steps

\frac{- 5 - 3 i}{7 - 10 i}

Multiply by the conjugate

\frac{7 + 10 i}{7 + 10 i}

= \frac{( - 5 - 3 i ) ( 7 + 10 i )}{( 7 - 10 i ) ( 7 + 10 i )}

Simplify

\frac{( - 5 - 3 i ) ( 7 + 10 i )}{( 7 - 10 i ) ( 7 + 10 i )} : \frac{- 5 - 71 i}{149}

= \frac{- 5 - 71 i}{149}

Apply the fraction rule:

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

= \frac{- 5}{149} + \frac{- 71}{149} i

Simplify

\frac{- 5}{149} + \frac{- 71}{149} i : - \frac{5}{149} - \frac{71}{149} i

= - \frac{5}{149} - \frac{71}{149} i

(2 x + 3) (x - 6)

(x + 5) (2 x^{2} - 3 x + 3)

\frac{1.2 \cdot 1 0 ^{7}}{2 \cdot 1 0 ^{3}}

7 \times 7 \times 7 \times 7 \times 7

3 x - (\frac{1}{3} x + 1)