First, distribute the values inside the parentheses:

4x(3x) + 4x(3) - 3(x) + 3(5) - 9(x) - 9(3) = 0

This simplifies to:

12x^2 + 12x - 3x + 15 - 9x - 27 = 0

Combine like terms:

12x^2 + 12x - 3x - 9x + 15 - 27 = 0

12x^2 + 0 = 0

12x^2 = 12

Divide by 12 on both sides:

x^2 = 1

Now, take the square root of both sides:

x = ±1

Therefore, the solution to the equation is x = 1 or x = -1.