Solve 2dn^3=cn^3

$$2 d n ^ { 3 } = c n ^ { 3 }$$

Solve for c

$$\left\{\begin{matrix}\\c=2d\text{, }&\text{unconditionally}\\c\in \mathrm{R}\text{, }&n=0\end{matrix}\right.$$

Steps for Solving Linear Equation

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

$$cn^{3}=2dn^{3}$$

The equation is in standard form.

$$n^{3}c=2dn^{3}$$

Divide both sides by n^{3}.

$$\frac{n^{3}c}{n^{3}}=\frac{2dn^{3}}{n^{3}}$$

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

$$c=\frac{2dn^{3}}{n^{3}}$$

Divide 2dn^{3} by n^{3}.

$$c=2d$$

Solve for d

$$\left\{\begin{matrix}\\d=\frac{c}{2}\text{, }&\text{unconditionally}\\d\in \mathrm{R}\text{, }&n=0\end{matrix}\right.$$

Steps for Solving Linear Equation

The equation is in standard form.

$$2n^{3}d=cn^{3}$$

Divide both sides by 2n^{3}.

$$\frac{2n^{3}d}{2n^{3}}=\frac{cn^{3}}{2n^{3}}$$

Dividing by 2n^{3} undoes the multiplication by 2n^{3}.

$$d=\frac{cn^{3}}{2n^{3}}$$

Divide cn^{3} by 2n^{3}.

$$d=\frac{c}{2}$$