Solve 2h-sqrt{3}h=20sqrt{3}

$$2 h - \sqrt { 3 } h = 20 \sqrt { 3 }$$

Solve for h

$$h=40\sqrt{3}+60\approx 129.282032303$$

Steps for Solving Linear Equation

Reorder the terms.

$$-\sqrt{3}h+2h=20\sqrt{3}$$

Combine all terms containing h.

$$\left(-\sqrt{3}+2\right)h=20\sqrt{3}$$

The equation is in standard form.

$$\left(2-\sqrt{3}\right)h=20\sqrt{3}$$

Divide both sides by -\sqrt{3}+2.

$$\frac{\left(2-\sqrt{3}\right)h}{2-\sqrt{3}}=\frac{20\sqrt{3}}{2-\sqrt{3}}$$

Dividing by -\sqrt{3}+2 undoes the multiplication by -\sqrt{3}+2.

$$h=\frac{20\sqrt{3}}{2-\sqrt{3}}$$

Divide 20\sqrt{3} by -\sqrt{3}+2.

$$h=40\sqrt{3}+60$$