You may find it less burdensome to split this problem into 2 parts and do the parts separately.
((x^2-x-6)/(4x^3)) becomes
x^2-x-6)
-------------. Factor the numerator:
(4x^3)
(x-3)(x+2)
--------------
4x^3
This cannot be reduced.
Now treat ((2x^22+x)/(x^2+5x+6)) in the same way. When finished, multiply your result by
(x-3)(x+2)
-------------- and then simplify the resulting expression.
4x^3
Note: I have a problem with your (2x^22+x), Are you sure you've copied that part of the problem expression accurately?