Solve (partial+m)psi=0

$$( \partial + m ) \psi = 0$$

Solve for m

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

Steps for Solving Linear Equation

Use the distributive property to multiply ∂+m by \psi .

$$∂\psi +m\psi =0$$

Subtract ∂\psi from both sides. Anything subtracted from zero gives its negation.

$$m\psi =-∂\psi$$

Reorder the terms.

$$m\psi =-\psi ∂$$

The equation is in standard form.

$$\psi m=-\psi ∂$$

Divide both sides by \psi .

$$\frac{\psi m}{\psi }=-\frac{\psi ∂}{\psi }$$

Dividing by \psi undoes the multiplication by \psi .

$$m=-\frac{\psi ∂}{\psi }$$

Divide -\psi ∂ by \psi .

$$m=-∂$$

Solve for ψ

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

Steps for Solving Linear Equation

The equation is in standard form.

$$\left(m+∂\right)\psi =0$$

Divide 0 by ∂+m.

$$\psi =0$$