[tex]x^2-\frac{9}{2}x^2-x-3=2x+\frac{3}{x}+1 \\ 4x^2\cdot \:2x-\frac{9}{2}x^2\cdot \:2x-x\cdot \:2x-3\cdot \:2x=2x\cdot \:2x+\frac{3}{x}\cdot \:2x+1\cdot \:2x \\ 8x^3-9x^3-2x^2-6x=4x^2+6+2x \\ -x^3-2x^2-6x=4x^2+6+2x \\ -x^3-2x^2-8x=4x^2+6 \\ -x^3-2x^2-8x-6=4x^2 \\ -x^3-6x^2-8x-6=0 \\ x\approx \:-4.52510\dots [/tex]
