Solve frac{sqrt{3}}{2}=6/x

$$\frac { \sqrt { 3 } } { 2 } = \frac { 6 } { x }$$

Solve for x

$$x=4\sqrt{3}\approx 6.92820323$$

Steps for Solving Linear Equation

Variable x cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by 2x, the least common multiple of 2,x.

$$x\sqrt{3}=2\times 6$$

Multiply 2 and 6 to get 12.

$$x\sqrt{3}=12$$

The equation is in standard form.

$$\sqrt{3}x=12$$

Divide both sides by \sqrt{3}.

$$\frac{\sqrt{3}x}{\sqrt{3}}=\frac{12}{\sqrt{3}}$$

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

$$x=\frac{12}{\sqrt{3}}$$

Divide 12 by \sqrt{3}.

$$x=4\sqrt{3}$$