Solve sqrt{3}=x/frac{m{2}}

$$\sqrt { 3 } = \frac { x } { \frac { m } { 2 } }$$

Solve for m

$$m=\frac{2\sqrt{3}x}{3}$$

$$x\neq 0$$

Steps for Solving Linear Equation

Divide x by \frac{m}{2} by multiplying x by the reciprocal of \frac{m}{2}.

$$\sqrt{3}=\frac{x\times 2}{m}$$

Variable m cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by m.

$$m\sqrt{3}=x\times 2$$

The equation is in standard form.

$$\sqrt{3}m=2x$$

Divide both sides by \sqrt{3}.

$$\frac{\sqrt{3}m}{\sqrt{3}}=\frac{2x}{\sqrt{3}}$$

Dividing by \sqrt{3} undoes the multiplication by \sqrt{3}.

$$m=\frac{2x}{\sqrt{3}}$$

Divide 2x by \sqrt{3}.

$$m=\frac{2\sqrt{3}x}{3}$$

Variable m cannot be equal to 0.

$$m=\frac{2\sqrt{3}x}{3}\text{, }m\neq 0$$

Solve for x

$$x=\frac{\sqrt{3}m}{2}$$

$$m\neq 0$$

Steps for Solving Linear Equation

Divide x by \frac{m}{2} by multiplying x by the reciprocal of \frac{m}{2}.

$$\sqrt{3}=\frac{x\times 2}{m}$$

Multiply both sides of the equation by m.

$$m\sqrt{3}=x\times 2$$

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

$$x\times 2=m\sqrt{3}$$

The equation is in standard form.

$$2x=\sqrt{3}m$$

Divide both sides by 2.

$$\frac{2x}{2}=\frac{\sqrt{3}m}{2}$$

Dividing by 2 undoes the multiplication by 2.

$$x=\frac{\sqrt{3}m}{2}$$