To solve the problem you must apply the proccedure shown below:
1. You have the following quadratic equation given in the problem:
9x^2+2x-7=0
2. When you factor it, you obtain:
(9x-7)(x+1)=0
3. Then, you have that the roots of the quadratic equation are:
(9x-7)(x+1)=0
x1=7/9
x2=-1