Solve for M F=(GMn)/(D^2)

$F = \frac{G M n}{D^{2}}$

Step 1

Rewrite the equation as $\frac{G M n}{D^{2}} = F$ .

$\frac{G M n}{D^{2}} = F$

Step 2

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

$\frac{G M n}{D^{2}} D^{2} = F D^{2}$

Step 3

Simplify the left side.

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

Cancel the common factor.

$\frac{G M n}{D^{2}} D^{2} = F D^{2}$

Rewrite the expression.

$G M n = F D^{2}$

Step 4

Divide each term in $G M n = F D^{2}$ by $G n$ and simplify.

Divide each term in $G M n = F D^{2}$ by $G n$ .

$\frac{G M n}{G n} = \frac{F D^{2}}{G n}$

Simplify the left side.

Cancel the common factor of $G$ .

Cancel the common factor.

$\frac{G M n}{G n} = \frac{F D^{2}}{G n}$

Rewrite the expression.

$\frac{M n}{n} = \frac{F D^{2}}{G n}$

Cancel the common factor of $n$ .

Cancel the common factor.

$\frac{M n}{n} = \frac{F D^{2}}{G n}$

Divide $M$ by $1$ .

$M = \frac{F D^{2}}{G n}$