Solution - Simplification or other simple results

Step  1  :

Equation at the end of step  1  :

  (2m2 -  10m) +  8

Step  2  :

Step  3  :

Pulling out like terms :

 3.1     Pull out like factors :

   2m² - 10m + 8  =   2 • (m² - 5m + 4) 

Trying to factor by splitting the middle term

 3.2     Factoring  m² - 5m + 4 

The first term is,  m²  its coefficient is  1 .
The middle term is,  -5m  its coefficient is  -5 .
The last term, "the constant", is  +4 

Step-1 : Multiply the coefficient of the first term by the constant   1 • 4 = 4 

Step-2 : Find two factors of  4  whose sum equals the coefficient of the middle term, which is   -5 .

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above,  -4  and  -1 
                     m² - 4m - 1m - 4

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

Final result :

  2 • (m - 1) • (m - 4)