Solution - Simplification or other simple results

Step  1  :

Equation at the end of step  1  :

  ((22•7k2) +  13k) -  6

Step  2  :

Trying to factor by splitting the middle term

 2.1     Factoring  28k²+13k-6 

The first term is,  28k²  its coefficient is  28 .
The middle term is,  +13k  its coefficient is  13 .
The last term, "the constant", is  -6 

Step-1 : Multiply the coefficient of the first term by the constant   28 • -6 = -168 

Step-2 : Find two factors of  -168  whose sum equals the coefficient of the middle term, which is   13 .

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above,  -8  and  21 
                     28k² - 8k + 21k - 6

Step-4 : Add up the first 2 terms, pulling out like factors :
                    4k • (7k-2)
              Add up the last 2 terms, pulling out common factors :
                    3 • (7k-2)
Step-5 : Add up the four terms of step 4 :
                    (4k+3)  •  (7k-2)
             Which is the desired factorization

Final result :

  (7k - 2) • (4k + 3)