Solve -frac{sqrt{3}}{3}x-sqrt{5}=0

$$- \frac { \sqrt { 3 } } { 3 } x - \sqrt { 5 } = 0$$

Solve for x

$$x=-\sqrt{15}\approx -3.872983346$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 3.

$$3\left(-\frac{\sqrt{3}}{3}\right)x-3\sqrt{5}=0$$

Express 3\left(-\frac{\sqrt{3}}{3}\right) as a single fraction.

$$\frac{-3\sqrt{3}}{3}x-3\sqrt{5}=0$$

Cancel out 3 and 3.

$$-\sqrt{3}x-3\sqrt{5}=0$$

Add 3\sqrt{5} to both sides. Anything plus zero gives itself.

$$-\sqrt{3}x=3\sqrt{5}$$

The equation is in standard form.

$$\left(-\sqrt{3}\right)x=3\sqrt{5}$$

Divide both sides by -\sqrt{3}.

$$\frac{\left(-\sqrt{3}\right)x}{-\sqrt{3}}=\frac{3\sqrt{5}}{-\sqrt{3}}$$

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

$$x=\frac{3\sqrt{5}}{-\sqrt{3}}$$

Divide 3\sqrt{5} by -\sqrt{3}.

$$x=-\sqrt{15}$$