Solve r^2/4^5D=1

$$\frac { r ^ { 2 } } { 4 ^ { 5 } D } = 1$$

Solve for D

$$D=\frac{r^{2}}{1024}$$

$$r\neq 0$$

Steps for Solving Linear Equation

Variable D cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by 1024D.

$$r^{2}=1024D$$

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

$$1024D=r^{2}$$

Divide both sides by 1024.

$$\frac{1024D}{1024}=\frac{r^{2}}{1024}$$

Dividing by 1024 undoes the multiplication by 1024.

$$D=\frac{r^{2}}{1024}$$

Variable D cannot be equal to 0.

$$D=\frac{r^{2}}{1024}\text{, }D\neq 0$$

Solve for r

$$r=32\sqrt{D}$$

$$r=-32\sqrt{D}\text{, }D>0$$