I'm having problems finding a good way to simplify F(x)=0 in the form of x=

Its there a Tip or trick to find it faster. I'm posting some examples

$\displaystyle F(x)=x^3-1.33x^2+x-1.33$

Not converges $\displaystyle x= -x^3 +1.33x^2 +1.33$

it converges $\displaystyle x=(1.33*(x^2+1)-x)^1/3$

what about this one $\displaystyle g(x) = e^3 - tan(x)$

How can I Rewrite g(x)=0 as another fixed-point equation, that actually let find a suitiable fixed point.

Cheers,

Alexis