Solve frac{sqrt{3}}{2}=600/x

$$\frac { \sqrt { 3 } } { 2 } = \frac { 600 } { x }$$

Solve for x

$$x=400\sqrt{3}\approx 692.820323028$$

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.

$$x\sqrt{3}=2\times 600$$

Multiply 2 and 600 to get 1200.

$$x\sqrt{3}=1200$$

The equation is in standard form.

$$\sqrt{3}x=1200$$

Divide both sides by \sqrt{3}.

$$\frac{\sqrt{3}x}{\sqrt{3}}=\frac{1200}{\sqrt{3}}$$

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

$$x=\frac{1200}{\sqrt{3}}$$

Divide 1200 by \sqrt{3}.

$$x=400\sqrt{3}$$