Solve for y
\left\{\begin{matrix}\\y=0\text{, }&\text{unconditionally}\\y\in \mathrm{R}\text{, }&1-xe^{x}=0\end{matrix}\right.
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y-xye^{x}=0
Subtract xye^{x} from both sides.
-xye^{x}+y=0
Reorder the terms.
\left(-xe^{x}+1\right)y=0
Combine all terms containing y.
\left(1-xe^{x}\right)y=0
The equation is in standard form.
y=0
Divide 0 by 1-xe^{x}.
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