Solve D=400kg/1600m^3

$$D = \frac { 400 kg } { 1600 m ^ { 3 } }$$

Solve for g

$$\left\{\begin{matrix}g=\frac{4Dm^{3}}{k}\text{, }&k\neq 0\text{ and }m\neq 0\\g\in \mathrm{R}\text{, }&D=0\text{ and }k=0\text{ and }m\neq 0\end{matrix}\right.$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 1600m^{3}.

$$D\times 1600m^{3}=400kg$$

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

$$400kg=D\times 1600m^{3}$$

The equation is in standard form.

$$400kg=1600Dm^{3}$$

Divide both sides by 400k.

$$\frac{400kg}{400k}=\frac{1600Dm^{3}}{400k}$$

Dividing by 400k undoes the multiplication by 400k.

$$g=\frac{1600Dm^{3}}{400k}$$

Divide 1600Dm^{3} by 400k.

$$g=\frac{4Dm^{3}}{k}$$

Solve for D

$$D=\frac{gk}{4m^{3}}$$

$$m\neq 0$$