See here : https://www.desmos.com/calculator/oe0gaxs2tt
The solutions are ( ≈ -5.046, ≈ 10.604) and ( ≈ 1.189, ≈ 6.151)
2x^2 + 7x - 5 = (-1/3)x^2 - 2x + 9 multiply through by 3
6x^2 + 21x - 15 = -x^2 - 6x + 27 rearrange as
7x^2 + 27x - 42 = 0
Use the quad formula to get
x = -27 ± sqrt [ 27^2 - 4 (7) ( -42) ]
______________________________
2 * 7
If you calculate this correctly you should get the solutions for x shown by the graph.....
