[tex] \frac{2}{t} - 2 + \frac{t}{2(t-2)^2} = 0 [/tex]
Multiply whole equation by variable 't':
[tex]2-2t + \frac{t^2}{2(t-2)^2} = 0[/tex]
Multiply whole equation by 2:
[tex]4-4t+ \frac{t^2}{(t-2)^2} = 0 [/tex]
Simplify:
[tex] \frac{4(t-2)^2-4t(t-2)^2+t^2}{(t-2)^2} = 0 [/tex]
[tex] \frac{4(t^2-4t+4) + 4t(t^2-4t+4) + t^2}{t^2-4t+4} = 0[/tex]
[tex] \frac{4t^2-16t+16+4t^3-16t^2+16t+t^2}{t^2-4t+4} = 0[/tex]
[tex] \frac{4t^3-7t^2+16}{t^2-4t+4} =0 [/tex]