Solution - Simplification or other simple results

Step  1  :

Equation at the end of step  1  :

  (3x +  2x2) -  1

Step  2  :

Trying to factor by splitting the middle term

 2.1     Factoring  2x²+3x-1 

The first term is,  2x²  its coefficient is  2 .
The middle term is,  +3x  its coefficient is  3 .
The last term, "the constant", is  -1 

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

Step-2 : Find two factors of  -2  whose sum equals the coefficient of the middle term, which is   3 .

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

Final result :

  2x2 + 3x - 1