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  :

  ((2•33x2) -  51x) -  88

Step  2  :

Trying to factor by splitting the middle term

 2.1     Factoring  54x²-51x-88 

The first term is,  54x²  its coefficient is  54 .
The middle term is,  -51x  its coefficient is  -51 .
The last term, "the constant", is  -88 

Step-1 : Multiply the coefficient of the first term by the constant   54 • -88 = -4752 

Step-2 : Find two factors of  -4752  whose sum equals the coefficient of the middle term, which is   -51 .

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above,  -99  and  48 
                     54x² - 99x + 48x - 88

Step-4 : Add up the first 2 terms, pulling out like factors :
                    9x • (6x-11)
              Add up the last 2 terms, pulling out common factors :
                    8 • (6x-11)
Step-5 : Add up the four terms of step 4 :
                    (9x+8)  •  (6x-11)
             Which is the desired factorization

Final result :

  (6x - 11) • (9x + 8)