Solve for F (complex solution)
\left\{\begin{matrix}F=\frac{2y}{x}\text{, }&x\neq 0\\F\in \mathrm{C}\text{, }&y=0\text{ and }x=0\end{matrix}\right.
Solve for x (complex solution)
\left\{\begin{matrix}x=\frac{2y}{F}\text{, }&F\neq 0\\x\in \mathrm{C}\text{, }&y=0\text{ and }F=0\end{matrix}\right.
Solve for F
\left\{\begin{matrix}F=\frac{2y}{x}\text{, }&x\neq 0\\F\in \mathrm{R}\text{, }&y=0\text{ and }x=0\end{matrix}\right.
Solve for x
\left\{\begin{matrix}x=\frac{2y}{F}\text{, }&F\neq 0\\x\in \mathrm{R}\text{, }&y=0\text{ and }F=0\end{matrix}\right.
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F\times \frac{1}{2}x=y
Swap sides so that all variable terms are on the left hand side.
\frac{x}{2}F=y
The equation is in standard form.
\frac{2\times \frac{x}{2}F}{x}=\frac{2y}{x}
Divide both sides by \frac{1}{2}x.
F=\frac{2y}{x}
Dividing by \frac{1}{2}x undoes the multiplication by \frac{1}{2}x.
F\times \frac{1}{2}x=y
Swap sides so that all variable terms are on the left hand side.
\frac{F}{2}x=y
The equation is in standard form.
\frac{2\times \frac{F}{2}x}{F}=\frac{2y}{F}
Divide both sides by \frac{1}{2}F.
x=\frac{2y}{F}
Dividing by \frac{1}{2}F undoes the multiplication by \frac{1}{2}F.
F\times \frac{1}{2}x=y
Swap sides so that all variable terms are on the left hand side.
\frac{x}{2}F=y
The equation is in standard form.
\frac{2\times \frac{x}{2}F}{x}=\frac{2y}{x}
Divide both sides by \frac{1}{2}x.
F=\frac{2y}{x}
Dividing by \frac{1}{2}x undoes the multiplication by \frac{1}{2}x.
F\times \frac{1}{2}x=y
Swap sides so that all variable terms are on the left hand side.
\frac{F}{2}x=y
The equation is in standard form.
\frac{2\times \frac{F}{2}x}{F}=\frac{2y}{F}
Divide both sides by \frac{1}{2}F.
x=\frac{2y}{F}
Dividing by \frac{1}{2}F undoes the multiplication by \frac{1}{2}F.
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Limits
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