What is (3-5i)/(-8+10i)+2(-8+10i) ?

The solution to (3-5i)/(-8+10i)+2(-8+10i) is -1349/82+1645/82 i

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simplify (3-5i)/(-8+10i)+2(-8+10i)

simplify

\frac{3 - 5 i}{- 8 + 10 i} + 2 (- 8 + 10 i)

- \frac{1349}{82} + \frac{1645}{82} i

Solution steps

\frac{3 - 5 i}{- 8 + 10 i} + 2 (- 8 + 10 i)

Simplify

\frac{3 - 5 i}{- 8 + 10 i} : \frac{- 74 + 10 i}{164}

= \frac{- 74 + 10 i}{164} + 2 (- 8 + 10 i)

Expand

2 (- 8 + 10 i) : - 16 + 20 i

= \frac{- 74 + 10 i}{164} - 16 + 20 i

Join

\frac{- 74 + 10 i}{164} - 16 + 20 i : \frac{1645 i - 1349}{82}

= \frac{1645 i - 1349}{82}

Rewrite in standard complex form:

- \frac{1349}{82} + \frac{1645}{82} i

= - \frac{1349}{82} + \frac{1645}{82} i

627 + 1175

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

\frac{tan ^{2} ( x )}{sin ^{2} ( x ) + cos ^{2} ( x )}

4 x^{3} - 7 x^{2} - 64 x + 112

\frac{1 - sec ^{2} ( x )}{csc ^{2} ( x ) - 1}

What is (3-5i)/(-8+10i)+2(-8+10i) ?
The solution to (3-5i)/(-8+10i)+2(-8+10i) is -1349/82+1645/82 i