Let's first simplify the left side of the equation:

(6-x)(x+6) - (x-11)x

= 6x + 36 - x^2 - 6x - x^2 + 11x
= 6x + 36 - 2x^2 + 11x
= 17x + 36 - 2x^2

Now, let's set this expression equal to 36:

17x + 36 - 2x^2 = 36

Now, we can simplify this equation further by moving all terms to one side:

17x + 36 - 2x^2 - 36 = 0
17x - 2x^2 = 0

Next, we can factor out an x from the equation:

x(17 - 2x) = 0

Now, we have two possibilities:

Therefore, the solutions to the equation are x = 0 and x = 8.5.