Solve 2cm^3=(2)dn

$$2 c m ^ { 3 } = ( 2 ) d n$$

Solve for c

$$\left\{\begin{matrix}c=\frac{dn}{m^{3}}\text{, }&m\neq 0\\c\in \mathrm{R}\text{, }&\left(d=0\text{ or }n=0\right)\text{ and }m=0\end{matrix}\right.$$

Steps for Solving Linear Equation

Cancel out 2 on both sides.

$$cm^{3}=dn$$

The equation is in standard form.

$$m^{3}c=dn$$

Divide both sides by m^{3}.

$$\frac{m^{3}c}{m^{3}}=\frac{dn}{m^{3}}$$

Dividing by m^{3} undoes the multiplication by m^{3}.

$$c=\frac{dn}{m^{3}}$$

Solve for d

$$\left\{\begin{matrix}d=\frac{cm^{3}}{n}\text{, }&n\neq 0\\d\in \mathrm{R}\text{, }&\left(c=0\text{ or }m=0\right)\text{ and }n=0\end{matrix}\right.$$

Steps for Solving Linear Equation

Cancel out 2 on both sides.

$$cm^{3}=dn$$

Swap sides so that all variable terms are on the left hand side.

$$dn=cm^{3}$$

The equation is in standard form.

$$nd=cm^{3}$$

Divide both sides by n.

$$\frac{nd}{n}=\frac{cm^{3}}{n}$$

Dividing by n undoes the multiplication by n.

$$d=\frac{cm^{3}}{n}$$