Let's start by simplifying both sides of the equation:

15 + 6x(2 - 3x) = 9x(5 - 2x) - 36

15 + 12x - 18x^2 = 45x - 18x^2 - 36

Now, let's combine like terms:

12x - 18x^2 = 45x - 18x^2 - 36

-6x - 36 = 45x - 18x^2 - 36

Next, let's move all terms to one side of the equation:

-6x - 36 - 45x + 18x^2 + 36 = 0

18x^2 - 51x = 0

Now, let's factor out an x:

x(18x - 51) = 0

Now, we set each factor to zero:

x = 0

18x - 51 = 0
18x = 51
x = 51/18
x = 17/6

Therefore, the solutions to the equation are x = 0 and x = 17/6.