Solution - Simplification or other simple results

Step  1  :

Equation at the end of step  1  :

  ((((12•(x2))-2)+14x)-(2•3x2))-12
 Step  2  :

Equation at the end of step  2  :

  ((((22•3x2) -  2) +  14x) -  (2•3x2)) -  12

Step  3  :

Step  4  :

Pulling out like terms :

 4.1     Pull out like factors :

   6x² + 14x - 14  =   2 • (3x² + 7x - 7) 

Trying to factor by splitting the middle term

 4.2     Factoring  3x² + 7x - 7 

The first term is,  3x²  its coefficient is  3 .
The middle term is,  +7x  its coefficient is  7 .
The last term, "the constant", is  -7 

Step-1 : Multiply the coefficient of the first term by the constant   3 • -7 = -21 

Step-2 : Find two factors of  -21  whose sum equals the coefficient of the middle term, which is   7 .

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

Final result :

  2 • (3x2 + 7x - 7)