Solve 1/s=km/hbar

$$\frac { 1 } { s } = k m / \hbar$$

Solve for k

$$k=\frac{ℏ}{ms}$$

$$s\neq 0\text{ and }m\neq 0\text{ and }ℏ\neq 0$$

Steps for Solving Linear Equation

Multiply both sides of the equation by sℏ, the least common multiple of s,ℏ.

$$ℏ=skm$$

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

$$skm=ℏ$$

The equation is in standard form.

$$msk=ℏ$$

Divide both sides by sm.

$$\frac{msk}{ms}=\frac{ℏ}{ms}$$

Dividing by sm undoes the multiplication by sm.

$$k=\frac{ℏ}{ms}$$

Solve for m

$$m=\frac{ℏ}{ks}$$

$$s\neq 0\text{ and }k\neq 0\text{ and }ℏ\neq 0$$

Steps for Solving Linear Equation

Multiply both sides of the equation by sℏ, the least common multiple of s,ℏ.

$$ℏ=skm$$

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

$$skm=ℏ$$

The equation is in standard form.

$$ksm=ℏ$$

Divide both sides by sk.

$$\frac{ksm}{ks}=\frac{ℏ}{ks}$$

Dividing by sk undoes the multiplication by sk.

$$m=\frac{ℏ}{ks}$$