Solve for w (complex solution)
\left\{\begin{matrix}w=\frac{x+v}{x}\text{, }&x\neq 0\\w\in \mathrm{C}\text{, }&v=0\text{ and }x=0\end{matrix}\right.
Solve for w
\left\{\begin{matrix}w=\frac{x+v}{x}\text{, }&x\neq 0\\w\in \mathrm{R}\text{, }&v=0\text{ and }x=0\end{matrix}\right.
Solve for v
v=x\left(w-1\right)
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wx=v+x
Swap sides so that all variable terms are on the left hand side.
xw=x+v
The equation is in standard form.
\frac{xw}{x}=\frac{x+v}{x}
Divide both sides by x.
w=\frac{x+v}{x}
Dividing by x undoes the multiplication by x.
wx=v+x
Swap sides so that all variable terms are on the left hand side.
xw=x+v
The equation is in standard form.
\frac{xw}{x}=\frac{x+v}{x}
Divide both sides by x.
w=\frac{x+v}{x}
Dividing by x undoes the multiplication by x.
v=wx-x
Subtract x from both sides.
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