Solve y=GMm/R^2

$$y = \frac { G M m } { R ^ { 2 } }$$

Solve for G (complex solution)

$$\left\{\begin{matrix}G=\frac{yR^{2}}{Mm}\text{, }&m\neq 0\text{ and }M\neq 0\text{ and }R\neq 0\\G\in \mathrm{C}\text{, }&\left(m=0\text{ or }M=0\right)\text{ and }y=0\text{ and }R\neq 0\end{matrix}\right.$$

Steps for Solving Linear Equation

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

$$yR^{2}=GMm$$

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

$$GMm=yR^{2}$$

The equation is in standard form.

$$MmG=yR^{2}$$

Divide both sides by Mm.

$$\frac{MmG}{Mm}=\frac{yR^{2}}{Mm}$$

Dividing by Mm undoes the multiplication by Mm.

$$G=\frac{yR^{2}}{Mm}$$

Solve for M (complex solution)

$$\left\{\begin{matrix}M=\frac{yR^{2}}{Gm}\text{, }&m\neq 0\text{ and }G\neq 0\text{ and }R\neq 0\\M\in \mathrm{C}\text{, }&\left(m=0\text{ or }G=0\right)\text{ and }y=0\text{ and }R\neq 0\end{matrix}\right.$$

Steps for Solving Linear Equation

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

$$yR^{2}=GMm$$

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

$$GMm=yR^{2}$$

The equation is in standard form.

$$GmM=yR^{2}$$

Divide both sides by Gm.

$$\frac{GmM}{Gm}=\frac{yR^{2}}{Gm}$$

Dividing by Gm undoes the multiplication by Gm.

$$M=\frac{yR^{2}}{Gm}$$

Solve for G

$$\left\{\begin{matrix}G=\frac{yR^{2}}{Mm}\text{, }&m\neq 0\text{ and }M\neq 0\text{ and }R\neq 0\\G\in \mathrm{R}\text{, }&\left(m=0\text{ or }M=0\right)\text{ and }y=0\text{ and }R\neq 0\end{matrix}\right.$$

Steps for Solving Linear Equation

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

$$yR^{2}=GMm$$

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

$$GMm=yR^{2}$$

The equation is in standard form.

$$MmG=yR^{2}$$

Divide both sides by Mm.

$$\frac{MmG}{Mm}=\frac{yR^{2}}{Mm}$$

Dividing by Mm undoes the multiplication by Mm.

$$G=\frac{yR^{2}}{Mm}$$

Solve for M

$$\left\{\begin{matrix}M=\frac{yR^{2}}{Gm}\text{, }&m\neq 0\text{ and }G\neq 0\text{ and }R\neq 0\\M\in \mathrm{R}\text{, }&\left(m=0\text{ or }G=0\right)\text{ and }y=0\text{ and }R\neq 0\end{matrix}\right.$$

Steps for Solving Linear Equation

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

$$yR^{2}=GMm$$

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

$$GMm=yR^{2}$$

The equation is in standard form.

$$GmM=yR^{2}$$

Divide both sides by Gm.

$$\frac{GmM}{Gm}=\frac{yR^{2}}{Gm}$$

Dividing by Gm undoes the multiplication by Gm.

$$M=\frac{yR^{2}}{Gm}$$