Solve m:a=F/m

$$m : a = \frac { F } { m }$$

Solve for F

$$F=\frac{m^{2}}{a}$$

$$a\neq 0\text{ and }m\neq 0$$

Steps for Solving Linear Equation

Multiply both sides of the equation by am, the least common multiple of a,m.

$$mm=aF$$

Multiply m and m to get m^{2}.

$$m^{2}=aF$$

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

$$aF=m^{2}$$

Divide both sides by a.

$$\frac{aF}{a}=\frac{m^{2}}{a}$$

Dividing by a undoes the multiplication by a.

$$F=\frac{m^{2}}{a}$$

Solve for a

$$a=\frac{m^{2}}{F}$$

$$m\neq 0\text{ and }F\neq 0$$

Steps for Solving Linear Equation

Variable a cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by am, the least common multiple of a,m.

$$mm=aF$$

Multiply m and m to get m^{2}.

$$m^{2}=aF$$

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

$$aF=m^{2}$$

The equation is in standard form.

$$Fa=m^{2}$$

Divide both sides by F.

$$\frac{Fa}{F}=\frac{m^{2}}{F}$$

Dividing by F undoes the multiplication by F.

$$a=\frac{m^{2}}{F}$$

Variable a cannot be equal to 0.

$$a=\frac{m^{2}}{F}\text{, }a\neq 0$$