Question

$$x ^ { 2 } + 2 x y = 6 x$$

Solve for y (complex solution)

$\left\{\begin{matrix}\\y=-\frac{x}{2}+3\text{, }&\text{unconditionally}\\y\in \mathrm{C}\text{, }&x=0\end{matrix}\right.$

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Solve for y

$\left\{\begin{matrix}\\y=-\frac{x}{2}+3\text{, }&\text{unconditionally}\\y\in \mathrm{R}\text{, }&x=0\end{matrix}\right.$

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Solve for x

$x=6-2y$
$x=0$