Solve sqrt{3}=x/x-60

$$\sqrt { 3 } = \frac { x } { x - 60 }$$

Solve for x

$$x=30\sqrt{3}+90\approx 141.961524227$$

Steps for Solving Linear Equation

Variable x cannot be equal to 60 since division by zero is not defined. Multiply both sides of the equation by x-60.

$$\left(x-60\right)\sqrt{3}=x$$

Use the distributive property to multiply x-60 by \sqrt{3}.

$$x\sqrt{3}-60\sqrt{3}=x$$

Subtract x from both sides.

$$x\sqrt{3}-60\sqrt{3}-x=0$$

Add 60\sqrt{3} to both sides. Anything plus zero gives itself.

$$x\sqrt{3}-x=60\sqrt{3}$$

Combine all terms containing x.

$$\left(\sqrt{3}-1\right)x=60\sqrt{3}$$

Divide both sides by \sqrt{3}-1.

$$\frac{\left(\sqrt{3}-1\right)x}{\sqrt{3}-1}=\frac{60\sqrt{3}}{\sqrt{3}-1}$$

Dividing by \sqrt{3}-1 undoes the multiplication by \sqrt{3}-1.

$$x=\frac{60\sqrt{3}}{\sqrt{3}-1}$$

Divide 60\sqrt{3} by \sqrt{3}-1.

$$x=30\sqrt{3}+90$$