how do I simplify this complex fraction?

Question

Simplify

(x² +16x+64)/(-10x)/(x+8)/(5x)

 

It should look like this...

x²+16x+64

      -10x

       x+8

        5x

 

Thank you very much for taking your time to read this. I would really appreciate an answer. :)

Answer 1

[(x²+16x+64)/(-10x)] ÷ [(x+8)/(5x)]

 

= [(x+8)²/(-10x)][(5x)/(x+8)]

 

= (x+8)/(-2) or equivalently, (-1/2)x - 4 

Answer 2

[(x² + 16 + 64) / -10x] ÷ [(x + 8) / 5x]

[(x + 8)² / -10x] ÷ [(x + 8) / 5x]  

[(x + 8)² / -10x] · [5x / (x + 8)]

[x + 8)²(5x)] / [(-10x)(x + 8)]

(x + 8) / -2