(6x-1)(6x+1)-4x(9x+2)=-1

To solve this equation, let's expand both sides and simplify:

Starting with the left side: (6x - 1)(6x + 1) - 4x(9x + 2) = 36x^2 - x + 6x - 6x - 1 - 36x^2 - 8x = (36x^2 - 36x^2) + (6x - 6x - 8x) - 1 - x = 0 - 8x - 1 - x = -9x - 1

So, the left side simplifies to -9x - 1.

Now, let's check the right side: -1

Since the original equation is -1 = -1, it is true for all values of x.

Therefore, the solution to the equation is all real numbers.