Solve for G F=(GMm)/(r^2)

$F = \frac{G Mm}{r^{2}}$

Rewrite the equation as $\frac{G Mm}{r^{2}} = F$ .

$\frac{G Mm}{r^{2}} = F$

Multiply both sides by $r^{2}$ .

$\frac{G Mm}{r^{2}} r^{2} = F r^{2}$

Simplify the left side.

Cancel the common factor of $r^{2}$ .

Cancel the common factor.

$\frac{G Mm}{r^{2}} r^{2} = F r^{2}$

Rewrite the expression.

$G Mm = F r^{2}$

Divide each term in $G Mm = F r^{2}$ by $Mm$ and simplify.

Divide each term in $G Mm = F r^{2}$ by $Mm$ .

$\frac{G Mm}{Mm} = \frac{F r^{2}}{Mm}$

Simplify the left side.

Cancel the common factor of $Mm$ .

Cancel the common factor.

$\frac{G Mm}{Mm} = \frac{F r^{2}}{Mm}$

Divide $G$ by $1$ .

$G = \frac{F r^{2}}{Mm}$

Rewrite the expression.

$G = F r^{2} \frac{1}{Mm}$