Solve for x (complex solution)
\left\{\begin{matrix}x=\frac{y+y_{1}+4}{x_{2}}\text{, }&x_{2}\neq 0\\x\in \mathrm{C}\text{, }&y_{1}=-y-4\text{ and }x_{2}=0\end{matrix}\right.
Solve for x_2 (complex solution)
\left\{\begin{matrix}x_{2}=\frac{y+y_{1}+4}{x}\text{, }&x\neq 0\\x_{2}\in \mathrm{C}\text{, }&y_{1}=-y-4\text{ and }x=0\end{matrix}\right.
Solve for x
\left\{\begin{matrix}x=\frac{y+y_{1}+4}{x_{2}}\text{, }&x_{2}\neq 0\\x\in \mathrm{R}\text{, }&y_{1}=-y-4\text{ and }x_{2}=0\end{matrix}\right.
Solve for x_2
\left\{\begin{matrix}x_{2}=\frac{y+y_{1}+4}{x}\text{, }&x\neq 0\\x_{2}\in \mathrm{R}\text{, }&y_{1}=-y-4\text{ and }x=0\end{matrix}\right.
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x_{2}x-y=4+y_{1}
Add y_{1} to both sides.
x_{2}x=4+y_{1}+y
Add y to both sides.
x_{2}x=y+y_{1}+4
The equation is in standard form.
\frac{x_{2}x}{x_{2}}=\frac{y+y_{1}+4}{x_{2}}
Divide both sides by x_{2}.
x=\frac{y+y_{1}+4}{x_{2}}
Dividing by x_{2} undoes the multiplication by x_{2}.
x_{2}x-y=4+y_{1}
Add y_{1} to both sides.
x_{2}x=4+y_{1}+y
Add y to both sides.
xx_{2}=y+y_{1}+4
The equation is in standard form.
\frac{xx_{2}}{x}=\frac{y+y_{1}+4}{x}
Divide both sides by x.
x_{2}=\frac{y+y_{1}+4}{x}
Dividing by x undoes the multiplication by x.
x_{2}x-y=4+y_{1}
Add y_{1} to both sides.
x_{2}x=4+y_{1}+y
Add y to both sides.
x_{2}x=y+y_{1}+4
The equation is in standard form.
\frac{x_{2}x}{x_{2}}=\frac{y+y_{1}+4}{x_{2}}
Divide both sides by x_{2}.
x=\frac{y+y_{1}+4}{x_{2}}
Dividing by x_{2} undoes the multiplication by x_{2}.
x_{2}x-y=4+y_{1}
Add y_{1} to both sides.
x_{2}x=4+y_{1}+y
Add y to both sides.
xx_{2}=y+y_{1}+4
The equation is in standard form.
\frac{xx_{2}}{x}=\frac{y+y_{1}+4}{x}
Divide both sides by x.
x_{2}=\frac{y+y_{1}+4}{x}
Dividing by x undoes the multiplication by x.
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