Simplify (4x-6)/(3x^2-2x)*(3x^3-2x^2)/(4x^2-9)

2(2x-3) * x(3x^2-2x)

------------------------------
(3x^2-2x) * (2x-3)(2x+3)

cancel out the (2x-3) and the (3x^2-2x), leaving just

2x/(2x+3)