Solve 5dm^2=m^2

$$5 d m ^ { 2 } = m ^ { 2 }$$

Solve for d

$$\left\{\begin{matrix}\\d=\frac{1}{5}=0.2\text{, }&\text{unconditionally}\\d\in \mathrm{R}\text{, }&m=0\end{matrix}\right.$$

Steps for Solving Linear Equation

The equation is in standard form.

$$5m^{2}d=m^{2}$$

Divide both sides by 5m^{2}.

$$\frac{5m^{2}d}{5m^{2}}=\frac{m^{2}}{5m^{2}}$$

Dividing by 5m^{2} undoes the multiplication by 5m^{2}.

$$d=\frac{m^{2}}{5m^{2}}$$

Divide m^{2} by 5m^{2}.

$$d=\frac{1}{5}$$

Solve for m

$$\left\{\begin{matrix}\\m=0\text{, }&\text{unconditionally}\\m\in \mathrm{R}\text{, }&d=\frac{1}{5}\end{matrix}\right.$$