Solve for A
\left\{\begin{matrix}A=\frac{32\times \left(\frac{m}{C}\right)^{2}c}{B}\text{, }&C\neq 0\text{ and }B\neq 0\\A\in \mathrm{R}\text{, }&\left(c=0\text{ and }B=0\right)\text{ or }\left(c=0\text{ and }C=0\right)\text{ or }\left(m=0\text{ and }B=0\right)\text{ or }\left(m=0\text{ and }C=0\right)\end{matrix}\right.
Solve for B
\left\{\begin{matrix}B=\frac{32\times \left(\frac{m}{C}\right)^{2}c}{A}\text{, }&C\neq 0\text{ and }A\neq 0\\B\in \mathrm{R}\text{, }&\left(c=0\text{ and }A=0\right)\text{ or }\left(c=0\text{ and }C=0\right)\text{ or }\left(m=0\text{ and }A=0\right)\text{ or }\left(m=0\text{ and }C=0\right)\end{matrix}\right.
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BCAC=32cm^{2}
Multiply both sides of the equation by 2.
BC^{2}A=32cm^{2}
Multiply C and C to get C^{2}.
\frac{BC^{2}A}{BC^{2}}=\frac{32cm^{2}}{BC^{2}}
Divide both sides by BC^{2}.
A=\frac{32cm^{2}}{BC^{2}}
Dividing by BC^{2} undoes the multiplication by BC^{2}.
BCAC=32cm^{2}
Multiply both sides of the equation by 2.
BC^{2}A=32cm^{2}
Multiply C and C to get C^{2}.
AC^{2}B=32cm^{2}
The equation is in standard form.
\frac{AC^{2}B}{AC^{2}}=\frac{32cm^{2}}{AC^{2}}
Divide both sides by C^{2}A.
B=\frac{32cm^{2}}{AC^{2}}
Dividing by C^{2}A undoes the multiplication by C^{2}A.
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