(4 х-3)(3+4х)-2х(8х-1)=0

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First, let's expand the expression.

(4x - 3)(3 + 4x) - 2x(8x - 1)
= 4x(3) + 4x(4x) - 3(3) - 3(4x) - 2x(8x) + 2x(1)
= 12x + 16x^2 - 9 - 12x - 16x^2 + 2x
= 2x - 9

Now, set the expression equal to 0 and solve for x:

2x - 9 = 0
2x = 9
x = 9/2

Therefore, the solution to the equation (4x - 3)(3 + 4x) - 2x(8x - 1) = 0 is x = 4.5.