I don't know how to solve this. It's Algebra 2, Solving Exponential Equations

Answer: I hope you can read the attached photo of the process.
Step-by-step explanation:
This is a very strange equation. Whoever invented it wants you to apply some previous knowledge and come up a creative solution.
You know that 3 square is 9, the reciprocal of that is 1/9. Negative exponents result in reciprocals.
If you know that [tex]3^{-2} = \frac{1}{9}[/tex] you can set up an equation using just the exponent given [tex]x^{2} +3x = -2[/tex]
You can make a quadratic equation [tex]x^{2} +3x +2 =0[/tex] and solve that.
You get 2 possible values for x.
Enjoy!