Having $$ \frac{|x-3|}{x} + |x^2-2x+1| + x > 0$$ how can I arrive to the solution:
$$ x < \frac 13 \left( 1-\sqrt[3]{\frac{2}{79-9\sqrt{77}}} - \sqrt[3]{\frac 12 \left(79 - 9\sqrt{77}\right)} \right) $$
?
Of course, $x \neq 0$, and then I've tried all the possible ways I could think of by splitting up the real numbers in three intervals, $x < 0$, $(x>0 \land x<3)$ and $x > 3$, but I couldn't come up with anything as close to the solution above.