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  :

  (52x2 -  20x) -  54

Step  2  :

Trying to factor by splitting the middle term

 2.1     Factoring  25x²-20x-54 

The first term is,  25x²  its coefficient is  25 .
The middle term is,  -20x  its coefficient is  -20 .
The last term, "the constant", is  -54 

Step-1 : Multiply the coefficient of the first term by the constant   25 • -54 = -1350 

Step-2 : Find two factors of  -1350  whose sum equals the coefficient of the middle term, which is   -20 .

For tidiness, printing of 18 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 :

  25x2 - 20x - 54