Solution - Simplification or other simple results

Step  1  :

Equation at the end of step  1  :

  (3x2 -  18x) -  24

Step  2  :

Step  3  :

Pulling out like terms :

 3.1     Pull out like factors :

   3x² - 18x - 24  =   3 • (x² - 6x - 8) 

Trying to factor by splitting the middle term

 3.2     Factoring  x² - 6x - 8 

The first term is,  x²  its coefficient is  1 .
The middle term is,  -6x  its coefficient is  -6 .
The last term, "the constant", is  -8 

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

Step-2 : Find two factors of  -8  whose sum equals the coefficient of the middle term, which is   -6 .

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

Final result :

  3 • (x2 - 6x - 8)