Solve for m
m=\frac{x+1}{x^{2}}
x\neq 0
Solve for x (complex solution)
\left\{\begin{matrix}x=\frac{\sqrt{4m+1}+1}{2m}\text{; }x=\frac{-\sqrt{4m+1}+1}{2m}\text{, }&m\neq 0\\x=-1\text{, }&m=0\end{matrix}\right.
Solve for x
\left\{\begin{matrix}x=\frac{\sqrt{4m+1}+1}{2m}\text{; }x=\frac{-\sqrt{4m+1}+1}{2m}\text{, }&m\neq 0\text{ and }m\geq -\frac{1}{4}\\x=-1\text{, }&m=0\end{matrix}\right.
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x^{2}m=x+1
The equation is in standard form.
\frac{x^{2}m}{x^{2}}=\frac{x+1}{x^{2}}
Divide both sides by x^{2}.
m=\frac{x+1}{x^{2}}
Dividing by x^{2} undoes the multiplication by x^{2}.
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