Solution - Simplification or other simple results

Step  1  :

Equation at the end of step  1  :

  (2b2 +  12b) -  24

Step  2  :

Step  3  :

Pulling out like terms :

 3.1     Pull out like factors :

   2b² + 12b - 24  =   2 • (b² + 6b - 12) 

Trying to factor by splitting the middle term

 3.2     Factoring  b² + 6b - 12 

The first term is,  b²  its coefficient is  1 .
The middle term is,  +6b  its coefficient is  6 .
The last term, "the constant", is  -12 

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

Step-2 : Find two factors of  -12  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 :

  2 • (b2 + 6b - 12)