Solve 2m=-dm

$$2 m = - d m$$

Solve for d

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

Steps for Solving Linear Equation

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

$$\left(-d\right)m=2m$$

Reorder the terms.

$$-dm=2m$$

The equation is in standard form.

$$\left(-m\right)d=2m$$

Divide both sides by -m.

$$\frac{\left(-m\right)d}{-m}=\frac{2m}{-m}$$

Dividing by -m undoes the multiplication by -m.

$$d=\frac{2m}{-m}$$

Divide 2m by -m.

$$d=-2$$

Solve for m

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

Steps for Solving Linear Equation

Subtract \left(-d\right)m from both sides.

$$2m-\left(-d\right)m=0$$

Multiply -1 and -1 to get 1.

$$2m+dm=0$$

Combine all terms containing m.

$$\left(2+d\right)m=0$$

The equation is in standard form.

$$\left(d+2\right)m=0$$

Divide 0 by 2+d.

$$m=0$$