Solution - Simplification or other simple results

Reformatting the input :

Changes made to your input should not affect the solution:

 (1): "x2"   was replaced by   "x^2". 

Step  1  :

Equation at the end of step  1  :

  (22x2 -  2x) -  6

Step  2  :

Step  3  :

Pulling out like terms :

 3.1     Pull out like factors :

   4x² - 2x - 6  =   2 • (2x² - x - 3) 

Trying to factor by splitting the middle term

 3.2     Factoring  2x² - x - 3 

The first term is,  2x²  its coefficient is  2 .
The middle term is,  -x  its coefficient is  -1 .
The last term, "the constant", is  -3 

Step-1 : Multiply the coefficient of the first term by the constant   2 • -3 = -6 

Step-2 : Find two factors of  -6  whose sum equals the coefficient of the middle term, which is   -1 .

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above,  -3  and  2 
                     2x² - 3x + 2x - 3

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

Final result :

  2 • (2x - 3) • (x + 1)