Solve V^2/R^2=2G/R+h

$$\frac{ { V }^{ 2 } }{ { R }^{ 2 } } = \frac{ 2G }{ R+h }$$

Solve for G

$$G=\frac{\left(\frac{V}{R}\right)^{2}\left(R+h\right)}{2}$$

$$R\neq 0\text{ and }R\neq -h$$

Steps for Solving Linear Equation

Multiply both sides of the equation by \left(R+h\right)R^{2}, the least common multiple of R^{2},R+h.

$$\left(R+h\right)V^{2}=R^{2}\times 2G$$

Use the distributive property to multiply R+h by V^{2}.

$$RV^{2}+hV^{2}=R^{2}\times 2G$$

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

$$R^{2}\times 2G=RV^{2}+hV^{2}$$

The equation is in standard form.

$$2R^{2}G=RV^{2}+hV^{2}$$

Divide both sides by 2R^{2}.

$$\frac{2R^{2}G}{2R^{2}}=\frac{\left(R+h\right)V^{2}}{2R^{2}}$$

Dividing by 2R^{2} undoes the multiplication by 2R^{2}.

$$G=\frac{\left(R+h\right)V^{2}}{2R^{2}}$$