What is ((8-3i)(5-2i))/(-4-6i) ?

The solution to ((8-3i)(5-2i))/(-4-6i) is 25/26+82/13 i

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simplify ((8-3i)(5-2i))/(-4-6i)

simplify

\frac{( 8 - 3 i ) ( 5 - 2 i )}{- 4 - 6 i}

\frac{25}{26} + \frac{82}{13} i

Solution steps

\frac{( 8 - 3 i ) ( 5 - 2 i )}{- 4 - 6 i}

Multiply by the conjugate

\frac{- 4 + 6 i}{- 4 + 6 i}

= \frac{( 8 - 3 i ) ( 5 - 2 i ) ( - 4 + 6 i )}{( - 4 - 6 i ) ( - 4 + 6 i )}

Simplify

\frac{( 8 - 3 i ) ( 5 - 2 i ) ( - 4 + 6 i )}{( - 4 - 6 i ) ( - 4 + 6 i )} : \frac{50 + 328 i}{52}

= \frac{50 + 328 i}{52}

Apply the fraction rule:

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

= \frac{50}{52} + \frac{328}{52} i

Simplify

\frac{50}{52} + \frac{328}{52} i : \frac{25}{26} + \frac{82}{13} i

= \frac{25}{26} + \frac{82}{13} i

lo g_{3} (125) = 5

- x^{2} - 7 x + 10 = 0

(3 - 2) (3 + 2)

lo g_{3} (5) + lo g_{3} (6)

10 p + 40 \leq 360

What is ((8-3i)(5-2i))/(-4-6i) ?
The solution to ((8-3i)(5-2i))/(-4-6i) is 25/26+82/13 i