Solve for α (complex solution)
\left\{\begin{matrix}\alpha =\frac{x}{\beta }\text{, }&\beta \neq 0\\\alpha \in \mathrm{C}\text{, }&x=0\text{ and }\beta =0\end{matrix}\right.
Solve for α
\left\{\begin{matrix}\alpha =\frac{x}{\beta }\text{, }&\beta \neq 0\\\alpha \in \mathrm{R}\text{, }&x=0\text{ and }\beta =0\end{matrix}\right.
Solve for x
x=\alpha \beta
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\alpha \times \beta =x
Swap sides so that all variable terms are on the left hand side.
\beta \alpha =x
The equation is in standard form.
\frac{\beta \alpha }{\beta }=\frac{x}{\beta }
Divide both sides by \beta .
\alpha =\frac{x}{\beta }
Dividing by \beta undoes the multiplication by \beta .
\alpha \times \beta =x
Swap sides so that all variable terms are on the left hand side.
\beta \alpha =x
The equation is in standard form.
\frac{\beta \alpha }{\beta }=\frac{x}{\beta }
Divide both sides by \beta .
\alpha =\frac{x}{\beta }
Dividing by \beta undoes the multiplication by \beta .
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