\]
Rearrange this equation to isolate terms involving \( x \):
\[ x - 2 = -\frac{y^2 - y}{x^2}. \]
Multiply through by \( x^2 \) to clear the fraction (assuming \( x \neq 0 \)):
\[ x^3 - 2x^2 = -(y^2 - y). \]
This can be rewritten as:
\[ x^3 - 2x^2 + y^2 - y = 0.
Show more…