Solution - Simplification or other simple results

Step  1  :

Equation at the end of step  1  :

  (24t2 -  98t) +  48

Step  2  :

Step  3  :

Pulling out like terms :

 3.1     Pull out like factors :

   16t² - 98t + 48  =   2 • (8t² - 49t + 24) 

Trying to factor by splitting the middle term

 3.2     Factoring  8t² - 49t + 24 

The first term is,  8t²  its coefficient is  8 .
The middle term is,  -49t  its coefficient is  -49 .
The last term, "the constant", is  +24 

Step-1 : Multiply the coefficient of the first term by the constant   8 • 24 = 192 

Step-2 : Find two factors of  192  whose sum equals the coefficient of the middle term, which is   -49 .

For tidiness, printing of 22 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 :

  2 • (8t2 - 49t + 24)