(3*1/(12*x^2-25*x+12)+(12*x^2-25*x+12)*1/3)^2>4

$$left(frac{1}{3} left(12 x^{2} – 25 x + 12right) + frac{3}{12 x^{2} – 25 x + 12}right)^{2} > 4$$

$$left(-infty < x wedge x < - frac{sqrt{193}}{24} + frac{25}{24}right) vee left(frac{3}{4} < x wedge x < frac{4}{3}right) vee left(frac{4}{3} < x wedge x < frac{sqrt{193}}{24} + frac{25}{24}right) vee left(x < frac{3}{4} wedge - frac{sqrt{193}}{24} + frac{25}{24} < xright) vee left(x < infty wedge frac{sqrt{193}}{24} + frac{25}{24} < xright)$$

_____ _____ _____ _____
25 / 193 25 / 193 25 / 193 25 / 193
(-oo, — – ——-) U (– – ——-, 3/4) U (3/4, 4/3) U (4/3, — + ——-) U (– + ——-, oo)
24 24 24 24 24 24 24 24

$$x in left(-infty, – frac{sqrt{193}}{24} + frac{25}{24}right) cup left(- frac{sqrt{193}}{24} + frac{25}{24}, frac{3}{4}right) cup left(frac{3}{4}, frac{4}{3}right) cup left(frac{4}{3}, frac{sqrt{193}}{24} + frac{25}{24}right) cup left(frac{sqrt{193}}{24} + frac{25}{24}, inftyright)$$