Solve -50=h/sqrt{3}

$$- 50 = h / \sqrt { 3 }$$

Solve for h

$$h=-50\sqrt{3}\approx -86.602540378$$

Steps for Solving Linear Equation

Rationalize the denominator of \frac{h}{\sqrt{3}} by multiplying numerator and denominator by \sqrt{3}.

$$-50=\frac{h\sqrt{3}}{\left(\sqrt{3}\right)^{2}}$$

The square of \sqrt{3} is 3.

$$-50=\frac{h\sqrt{3}}{3}$$

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

$$\frac{h\sqrt{3}}{3}=-50$$

Multiply both sides by 3.

$$h\sqrt{3}=-50\times 3$$

Multiply -50 and 3 to get -150.

$$h\sqrt{3}=-150$$

The equation is in standard form.

$$\sqrt{3}h=-150$$

Divide both sides by \sqrt{3}.

$$\frac{\sqrt{3}h}{\sqrt{3}}=-\frac{150}{\sqrt{3}}$$

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

$$h=-\frac{150}{\sqrt{3}}$$

Divide -150 by \sqrt{3}.

$$h=-50\sqrt{3}$$