To solve that use the Quadratic formula.
[tex]ax^{2} + bx + c = 0[/tex]
[tex]9 {x}^{2} + 3x - 2 = 0[/tex]
Solve using:
[tex]x(1) = \frac{ - b - \sqrt{ {b}^{2} - 4ac} }{2a} [/tex]
and
[tex]x(2) = \frac{ - b + \sqrt{ {b}^{2} - 4ac} }{2a} [/tex]
Answers are
[tex]x(1) = \frac{1}{3} \\ x(2) = - \frac{2}{3} [/tex]
