Solution - Simplification or other simple results

Reformatting the input :

Changes made to your input should not affect the solution:

 (1): "a2"   was replaced by   "a^2". 

Step  1  :

Equation at the end of step  1  :

  ((22•3a2) +  14a) -  6

Step  2  :

Step  3  :

Pulling out like terms :

 3.1     Pull out like factors :

   12a² + 14a - 6  =   2 • (6a² + 7a - 3) 

Trying to factor by splitting the middle term

 3.2     Factoring  6a² + 7a - 3 

The first term is,  6a²  its coefficient is  6 .
The middle term is,  +7a  its coefficient is  7 .
The last term, "the constant", is  -3 

Step-1 : Multiply the coefficient of the first term by the constant   6 • -3 = -18 

Step-2 : Find two factors of  -18  whose sum equals the coefficient of the middle term, which is   7 .

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above,  -2  and  9 
                     6a² - 2a + 9a - 3

Step-4 : Add up the first 2 terms, pulling out like factors :
                    2a • (3a-1)
              Add up the last 2 terms, pulling out common factors :
                    3 • (3a-1)
Step-5 : Add up the four terms of step 4 :
                    (2a+3)  •  (3a-1)
             Which is the desired factorization

Final result :

  2 • (3a - 1) • (2a + 3)