Solve for f (complex solution)
\left\{\begin{matrix}f=\frac{mx}{6t}\text{, }&t\neq 0\\f\in \mathrm{C}\text{, }&\left(x=0\text{ or }m=0\right)\text{ and }t=0\end{matrix}\right.
Solve for m (complex solution)
\left\{\begin{matrix}m=\frac{6ft}{x}\text{, }&x\neq 0\\m\in \mathrm{C}\text{, }&\left(f=0\text{ or }t=0\right)\text{ and }x=0\end{matrix}\right.
Solve for f
\left\{\begin{matrix}f=\frac{mx}{6t}\text{, }&t\neq 0\\f\in \mathrm{R}\text{, }&\left(x=0\text{ or }m=0\right)\text{ and }t=0\end{matrix}\right.
Solve for m
\left\{\begin{matrix}m=\frac{6ft}{x}\text{, }&x\neq 0\\m\in \mathrm{R}\text{, }&\left(f=0\text{ or }t=0\right)\text{ and }x=0\end{matrix}\right.
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6tf=mx
The equation is in standard form.
\frac{6tf}{6t}=\frac{mx}{6t}
Divide both sides by 6t.
f=\frac{mx}{6t}
Dividing by 6t undoes the multiplication by 6t.
xm=6ft
Swap sides so that all variable terms are on the left hand side.
\frac{xm}{x}=\frac{6ft}{x}
Divide both sides by x.
m=\frac{6ft}{x}
Dividing by x undoes the multiplication by x.
6tf=mx
The equation is in standard form.
\frac{6tf}{6t}=\frac{mx}{6t}
Divide both sides by 6t.
f=\frac{mx}{6t}
Dividing by 6t undoes the multiplication by 6t.
xm=6ft
Swap sides so that all variable terms are on the left hand side.
\frac{xm}{x}=\frac{6ft}{x}
Divide both sides by x.
m=\frac{6ft}{x}
Dividing by x undoes the multiplication by x.
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