The given equation is a quadratic equation and we can find the solutions of the quadratic equation using the quadratic formula.
The Quadratic formula is:
[tex]x= \frac{-b+- \sqrt{ b^{2}-4ac } }{2a} [/tex]
Here,
b = coefficient of x term = 9
a = coefficient of squared term = 2
c = constant term = -5
Using the values of, we get:
[tex]x=\frac{-9+-\sqrt{81-4(2)(-5)}}{2(2)}\\\\x=\frac{-9+-11}{4}\\\\x= \frac{-9-11}{4}=-5, x= \frac{-9+11}{4}= \frac{1}{2}=0.5[/tex]
Thus the values of x satisfying the given equation are x = -5, x = 0.5
