Solution - Simplification or other simple results

Step  1  :

Equation at the end of step  1  :

  ((0 -  22t2) +  2t) +  24

Step  2  :

Step  3  :

Pulling out like terms :

 3.1     Pull out like factors :

   -4t² + 2t + 24  =   -2 • (2t² - t - 12) 

Trying to factor by splitting the middle term

 3.2     Factoring  2t² - t - 12 

The first term is,  2t²  its coefficient is  2 .
The middle term is,  -t  its coefficient is  -1 .
The last term, "the constant", is  -12 

Step-1 : Multiply the coefficient of the first term by the constant   2 • -12 = -24 

Step-2 : Find two factors of  -24  whose sum equals the coefficient of the middle term, which is   -1 .

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

Final result :

  -2 • (2t2 - t - 12)