To solve this equation, we first need to simplify the left side of the equation:

2x(3 + 8x) - (4x - 3)(4x - 1)(4x + 3) = 1.5x

Expanding the terms and simplifying:

6x + 16x^2 - 16x^2 + 16x + 3x - 37x - 9 + 12x^2 - 4x - 9 = 1.5x

Combine like terms:

6x + 16x^2 - 16x^2 + 16x + 3x - 37x - 9 + 12x^2 - 4x - 9 = 1.5x
16x - 37x - 4x + 6x - 1.5x = 0
-20.5x = 0

Now, divide both sides by -20.5 to solve for x:

x = 0

Therefore, the solution to the given equation is x = 0.