Solve for d (complex solution)
\left\{\begin{matrix}d=\frac{ft}{3y}\text{, }&y\neq 0\\d\in \mathrm{C}\text{, }&\left(f=0\text{ or }t=0\right)\text{ and }y=0\end{matrix}\right.
Solve for f (complex solution)
\left\{\begin{matrix}f=\frac{3dy}{t}\text{, }&t\neq 0\\f\in \mathrm{C}\text{, }&\left(y=0\text{ or }d=0\right)\text{ and }t=0\end{matrix}\right.
Solve for d
\left\{\begin{matrix}d=\frac{ft}{3y}\text{, }&y\neq 0\\d\in \mathrm{R}\text{, }&\left(f=0\text{ or }t=0\right)\text{ and }y=0\end{matrix}\right.
Solve for f
\left\{\begin{matrix}f=\frac{3dy}{t}\text{, }&t\neq 0\\f\in \mathrm{R}\text{, }&\left(y=0\text{ or }d=0\right)\text{ and }t=0\end{matrix}\right.
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3yd=ft
Swap sides so that all variable terms are on the left hand side.
\frac{3yd}{3y}=\frac{ft}{3y}
Divide both sides by 3y.
d=\frac{ft}{3y}
Dividing by 3y undoes the multiplication by 3y.
tf=3dy
The equation is in standard form.
\frac{tf}{t}=\frac{3dy}{t}
Divide both sides by t.
f=\frac{3dy}{t}
Dividing by t undoes the multiplication by t.
3yd=ft
Swap sides so that all variable terms are on the left hand side.
\frac{3yd}{3y}=\frac{ft}{3y}
Divide both sides by 3y.
d=\frac{ft}{3y}
Dividing by 3y undoes the multiplication by 3y.
tf=3dy
The equation is in standard form.
\frac{tf}{t}=\frac{3dy}{t}
Divide both sides by t.
f=\frac{3dy}{t}
Dividing by t undoes the multiplication by t.
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