Solution - Simplification or other simple results

Step  1  :

Equation at the end of step  1  :

  (5k2 -  16k) +  12

Step  2  :

Trying to factor by splitting the middle term

 2.1     Factoring  5k²-16k+12 

The first term is,  5k²  its coefficient is  5 .
The middle term is,  -16k  its coefficient is  -16 .
The last term, "the constant", is  +12 

Step-1 : Multiply the coefficient of the first term by the constant   5 • 12 = 60 

Step-2 : Find two factors of  60  whose sum equals the coefficient of the middle term, which is   -16 .

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above,  -10  and  -6 
                     5k² - 10k - 6k - 12

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

Final result :

  (k - 2) • (5k - 6)