Solution - Simplification or other simple results

Reformatting the input :

Changes made to your input should not affect the solution:

 (1): "u2"   was replaced by   "u^2". 

Step  1  :

Equation at the end of step  1  :

  (5u2 +  11u) +  6

Step  2  :

Trying to factor by splitting the middle term

 2.1     Factoring  5u²+11u+6 

The first term is,  5u²  its coefficient is  5 .
The middle term is,  +11u  its coefficient is  11 .
The last term, "the constant", is  +6 

Step-1 : Multiply the coefficient of the first term by the constant   5 • 6 = 30 

Step-2 : Find two factors of  30  whose sum equals the coefficient of the middle term, which is   11 .

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above,  5  and  6 
                     5u² + 5u + 6u + 6

Step-4 : Add up the first 2 terms, pulling out like factors :
                    5u • (u+1)
              Add up the last 2 terms, pulling out common factors :
                    6 • (u+1)
Step-5 : Add up the four terms of step 4 :
                    (5u+6)  •  (u+1)
             Which is the desired factorization

Final result :

  (u + 1) • (5u + 6)