Solve for B
\left\{\begin{matrix}\\B=C\text{, }&\text{unconditionally}\\B\in \mathrm{R}\text{, }&D=0\text{ or }E=0\text{ or }H=0\end{matrix}\right.
Solve for C
\left\{\begin{matrix}\\C=B\text{, }&\text{unconditionally}\\C\in \mathrm{R}\text{, }&D=0\text{ or }E=0\text{ or }H=0\end{matrix}\right.
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HDEB=HEDC
Swap sides so that all variable terms are on the left hand side.
DEHB=CDEH
The equation is in standard form.
\frac{DEHB}{DEH}=\frac{CDEH}{DEH}
Divide both sides by HDE.
B=\frac{CDEH}{DEH}
Dividing by HDE undoes the multiplication by HDE.
B=C
Divide HEDC by HDE.
DEHC=BDEH
The equation is in standard form.
\frac{DEHC}{DEH}=\frac{BDEH}{DEH}
Divide both sides by HDE.
C=\frac{BDEH}{DEH}
Dividing by HDE undoes the multiplication by HDE.
C=B
Divide HDEB by HDE.
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