3x^2 +2x-1=0
I am looking for 2 numbers that mult to 3*-1=-3 and add to +2
I see that the numbers are -3 and +1
so now I will split 2x into -3x+1x
$$\\3x^2 +2x-1=0\\
3x^2-3x +1x-1=0\\
3x(x-1) +1(x-1)\\
(3x+1)(x-1)=0$$
3x+1=0 or x-1=0
3x=-1 or x=1
x= -1/3 or x=1