Solution - Simplification or other simple results

Step  1  :

Equation at the end of step  1  :

  (2v2 -  22v) +  20

Step  2  :

Step  3  :

Pulling out like terms :

 3.1     Pull out like factors :

   2v² - 22v + 20  =   2 • (v² - 11v + 10) 

Trying to factor by splitting the middle term

 3.2     Factoring  v² - 11v + 10 

The first term is,  v²  its coefficient is  1 .
The middle term is,  -11v  its coefficient is  -11 .
The last term, "the constant", is  +10 

Step-1 : Multiply the coefficient of the first term by the constant   1 • 10 = 10 

Step-2 : Find two factors of  10  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,  -10  and  -1 
                     v² - 10v - 1v - 10

Step-4 : Add up the first 2 terms, pulling out like factors :
                    v • (v-10)
              Add up the last 2 terms, pulling out common factors :
                     1 • (v-10)
Step-5 : Add up the four terms of step 4 :
                    (v-1)  •  (v-10)
             Which is the desired factorization

Final result :

  2 • (v - 1) • (v - 10)