given the quadratic function f(x)=9x^2+36x+36, finda value of x such that f(x)=9

so, solve 9 = 9x^2+36x+36

or, 9x^2+36x+27 = 0

surely that doesn't pose any difficulties, eh?

It may be easier if you factor out a 9:

x^2 + 4x + 3 = 0