Solve R=2*6.67^-11*m/300000^2

$$R = \frac { 2 \times 6.67 ^ { - 11 } \times m } { 300000 ^ { 2 } }$$

Solve for R

$$R=\frac{2000000000000m}{104622882806598058364542057624347}$$

Solution Steps

Calculate 6.67 to the power of -11 and get \frac{10000000000000000000000}{11624764756288673151615784180483}.

$$R=\frac{2\times \frac{10000000000000000000000}{11624764756288673151615784180483}m}{300000^{2}}$$

Multiply 2 and \frac{10000000000000000000000}{11624764756288673151615784180483} to get \frac{20000000000000000000000}{11624764756288673151615784180483}.

$$R=\frac{\frac{20000000000000000000000}{11624764756288673151615784180483}m}{300000^{2}}$$

Calculate 300000 to the power of 2 and get 90000000000.

$$R=\frac{\frac{20000000000000000000000}{11624764756288673151615784180483}m}{90000000000}$$

Divide \frac{20000000000000000000000}{11624764756288673151615784180483}m by 90000000000 to get \frac{2000000000000}{104622882806598058364542057624347}m.

$$R=\frac{2000000000000}{104622882806598058364542057624347}m$$

Solve for m

$$m=\frac{104622882806598058364542057624347R}{2000000000000}$$

Steps for Solving Linear Equation

Calculate 6.67 to the power of -11 and get \frac{10000000000000000000000}{11624764756288673151615784180483}.

$$R=\frac{2\times \frac{10000000000000000000000}{11624764756288673151615784180483}m}{300000^{2}}$$

Multiply 2 and \frac{10000000000000000000000}{11624764756288673151615784180483} to get \frac{20000000000000000000000}{11624764756288673151615784180483}.

$$R=\frac{\frac{20000000000000000000000}{11624764756288673151615784180483}m}{300000^{2}}$$

Calculate 300000 to the power of 2 and get 90000000000.

$$R=\frac{\frac{20000000000000000000000}{11624764756288673151615784180483}m}{90000000000}$$

Divide \frac{20000000000000000000000}{11624764756288673151615784180483}m by 90000000000 to get \frac{2000000000000}{104622882806598058364542057624347}m.

$$R=\frac{2000000000000}{104622882806598058364542057624347}m$$

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

$$\frac{2000000000000}{104622882806598058364542057624347}m=R$$

Divide both sides of the equation by \frac{2000000000000}{104622882806598058364542057624347}, which is the same as multiplying both sides by the reciprocal of the fraction.

$$\frac{\frac{2000000000000}{104622882806598058364542057624347}m}{\frac{2000000000000}{104622882806598058364542057624347}}=\frac{R}{\frac{2000000000000}{104622882806598058364542057624347}}$$

Dividing by \frac{2000000000000}{104622882806598058364542057624347} undoes the multiplication by \frac{2000000000000}{104622882806598058364542057624347}.

$$m=\frac{R}{\frac{2000000000000}{104622882806598058364542057624347}}$$

Divide R by \frac{2000000000000}{104622882806598058364542057624347} by multiplying R by the reciprocal of \frac{2000000000000}{104622882806598058364542057624347}.

$$m=\frac{104622882806598058364542057624347R}{2000000000000}$$