Show all work to solve
3x^2 - 5x - 2 = 0

Factor and set each factor equal to zero.

x = 2 , − 1/3

Explanation:

The first term is,  3x2  its coefficient is  3 .

The middle term is,  -5x  its coefficient is  -5 .

The last term, "the constant", is  -2  

Step-1 : Multiply the coefficient of the first term by the constant   3 • -2 = -6  

Step-2 : Find two factors of  -6  whose sum equals the coefficient of the middle term, which is   -5 .

     -6    +    1    =    -5    That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above,  -6  and  1  

                    3x2 - 6x + 1x - 2

Step-4 : Add up the first 2 terms, pulling out like factors :

                   3x • (x-2)

             Add up the last 2 terms, pulling out common factors :

                    1 • (x-2)

Step-5 : Add up the four terms of step 4 :

                   (3x+1)  •  (x-2)

            Which is the desired factorization

Equation at the end of step  2  :

 (x - 2) • (3x + 1)  = 0

2/3

step-by-step explanation: