Solve 1=6.67x10^-11*2*2/(D)^2

$$1 = 6.67 \frac { x 10 ^ { - 11 } \times 2 \times 2 } { ( D ) ^ { 2 } }$$

Solve for x

$$x=\frac{2500000000000D^{2}}{667}$$

$$D\neq 0$$

Steps for Solving Linear Equation

Divide both sides by 6.67.

$$\frac{1}{6.67}=\frac{x\times 10^{-11}\times 2\times 2}{D^{2}}$$

Expand \frac{1}{6.67} by multiplying both numerator and the denominator by 100.

$$\frac{100}{667}=\frac{x\times 10^{-11}\times 2\times 2}{D^{2}}$$

Multiply both sides of the equation by 667D^{2}, the least common multiple of 667,D^{2}.

$$100D^{2}=667x\times 10^{-11}\times 2\times 2$$

Calculate 10 to the power of -11 and get \frac{1}{100000000000}.

$$100D^{2}=667x\times \frac{1}{100000000000}\times 2\times 2$$

Multiply 667 and \frac{1}{100000000000} to get \frac{667}{100000000000}.

$$100D^{2}=\frac{667}{100000000000}x\times 2\times 2$$

Multiply \frac{667}{100000000000} and 2 to get \frac{667}{50000000000}.

$$100D^{2}=\frac{667}{50000000000}x\times 2$$

Multiply \frac{667}{50000000000} and 2 to get \frac{667}{25000000000}.

$$100D^{2}=\frac{667}{25000000000}x$$

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

$$\frac{667}{25000000000}x=100D^{2}$$

Divide both sides of the equation by \frac{667}{25000000000}, which is the same as multiplying both sides by the reciprocal of the fraction.

$$\frac{\frac{667}{25000000000}x}{\frac{667}{25000000000}}=\frac{100D^{2}}{\frac{667}{25000000000}}$$

Dividing by \frac{667}{25000000000} undoes the multiplication by \frac{667}{25000000000}.

$$x=\frac{100D^{2}}{\frac{667}{25000000000}}$$

Divide 100D^{2} by \frac{667}{25000000000} by multiplying 100D^{2} by the reciprocal of \frac{667}{25000000000}.

$$x=\frac{2500000000000D^{2}}{667}$$

Solve for D (complex solution)

$$D=-\frac{\sqrt{6670x}}{5000000}$$

$$D=\frac{\sqrt{6670x}}{5000000}\text{, }x\neq 0$$

Solve for D

$$D=\frac{\sqrt{6670x}}{5000000}$$

$$D=-\frac{\sqrt{6670x}}{5000000}\text{, }x>0$$