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  :

  (24x2 +  12x) +  9

Step  2  :

Trying to factor by splitting the middle term

 2.1     Factoring  16x²+12x+9 

The first term is,  16x²  its coefficient is  16 .
The middle term is,  +12x  its coefficient is  12 .
The last term, "the constant", is  +9 

Step-1 : Multiply the coefficient of the first term by the constant   16 • 9 = 144 

Step-2 : Find two factors of  144  whose sum equals the coefficient of the middle term, which is   12 .

For tidiness, printing of 24 lines which failed to find two such factors, was suppressed

Observation : No two such factors can be found !!
Conclusion : Trinomial can not be factored

Final result :

  16x2 + 12x + 9