To solve this quadratic equation, we can first factor out a common factor of 3:

3x^2 - 3x -9 = 0

Now, we can simplify the equation by dividing each term by 3:

x^2 - x - 3 = 0

Next, we can factor this quadratic equation:

(x - 3)(x + 1) = 0

Setting each factor equal to zero gives us the solutions for x:

x - 3 = 0 --> x = 3

x + 1 = 0 --> x = -1

Therefore, the solutions to the equation are x = 3 and x = -1.