Solve R=2GM/c^2

$$R = \frac { 2 G M } { c ^ { 2 } }$$

Solve for G

$$\left\{\begin{matrix}G=\frac{Rc^{2}}{2M}\text{, }&M\neq 0\text{ and }c\neq 0\\G\in \mathrm{R}\text{, }&R=0\text{ and }M=0\text{ and }c\neq 0\end{matrix}\right.$$

Steps for Solving Linear Equation

Multiply both sides of the equation by c^{2}.

$$Rc^{2}=2GM$$

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

$$2GM=Rc^{2}$$

The equation is in standard form.

$$2MG=Rc^{2}$$

Divide both sides by 2M.

$$\frac{2MG}{2M}=\frac{Rc^{2}}{2M}$$

Dividing by 2M undoes the multiplication by 2M.

$$G=\frac{Rc^{2}}{2M}$$

Solve for M

$$\left\{\begin{matrix}M=\frac{Rc^{2}}{2G}\text{, }&G\neq 0\text{ and }c\neq 0\\M\in \mathrm{R}\text{, }&R=0\text{ and }G=0\text{ and }c\neq 0\end{matrix}\right.$$

Steps for Solving Linear Equation

Multiply both sides of the equation by c^{2}.

$$Rc^{2}=2GM$$

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

$$2GM=Rc^{2}$$

Divide both sides by 2G.

$$\frac{2GM}{2G}=\frac{Rc^{2}}{2G}$$

Dividing by 2G undoes the multiplication by 2G.

$$M=\frac{Rc^{2}}{2G}$$