Solve for A
\left\{\begin{matrix}A=\frac{1}{DF}\text{, }&F\neq 0\text{ and }D\neq 0\\A\in \mathrm{R}\text{, }&E=0\end{matrix}\right.
Solve for D
\left\{\begin{matrix}D=\frac{1}{AF}\text{, }&F\neq 0\text{ and }A\neq 0\\D\in \mathrm{R}\text{, }&E=0\end{matrix}\right.
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ADEF=E
Swap sides so that all variable terms are on the left hand side.
DEFA=E
The equation is in standard form.
\frac{DEFA}{DEF}=\frac{E}{DEF}
Divide both sides by DEF.
A=\frac{E}{DEF}
Dividing by DEF undoes the multiplication by DEF.
A=\frac{1}{DF}
Divide E by DEF.
ADEF=E
Swap sides so that all variable terms are on the left hand side.
AEFD=E
The equation is in standard form.
\frac{AEFD}{AEF}=\frac{E}{AEF}
Divide both sides by AEF.
D=\frac{E}{AEF}
Dividing by AEF undoes the multiplication by AEF.
D=\frac{1}{AF}
Divide E by AEF.
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