Solve H=sqrt{6+x}*tan20

$$H = \sqrt { 6 + x } \cdot \tan 20$$

Solve for x

$$x=\frac{2500000000000000000000000000000000H^{2}}{331185828579485530082897014553689}-6$$

$$H\geq 0$$

Steps for Solving Radical Equations

Evaluate trigonometric functions in the problem

$$H = \sqrt{6 + x} \cdot 0.36397023426620234$$

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

$$0.36397023426620234\sqrt{6+x}=H$$

Divide both sides of the equation by 0.36397023426620234, which is the same as multiplying both sides by the reciprocal of the fraction.

$$\frac{0.36397023426620234\sqrt{x+6}}{0.36397023426620234}=\frac{H}{0.36397023426620234}$$

Dividing by 0.36397023426620234 undoes the multiplication by 0.36397023426620234.

$$\sqrt{x+6}=\frac{H}{0.36397023426620234}$$

Divide H by 0.36397023426620234 by multiplying H by the reciprocal of 0.36397023426620234.

$$\sqrt{x+6}=\frac{50000000000000000H}{18198511713310117}$$

Square both sides of the equation.

$$x+6=\frac{2500000000000000000000000000000000H^{2}}{331185828579485530082897014553689}$$

Subtract 6 from both sides of the equation.

$$x+6-6=\frac{2500000000000000000000000000000000H^{2}}{331185828579485530082897014553689}-6$$

Subtracting 6 from itself leaves 0.

$$x=\frac{2500000000000000000000000000000000H^{2}}{331185828579485530082897014553689}-6$$

Solve for H

$$H=\frac{18198511713310117\sqrt{x+6}}{50000000000000000}$$

$$x\geq -6$$