Solve E=(920kg/m^3)(9,81m/s^2)(2*10^-4m^3)

$$E = ( 920 kg / m ^ { 3 } ) ( 9,81 m / s ^ { 2 } ) ( 2 \times 10 ^ { - 4 } m ^ { 3 } )$$

Solve for g

$$\left\{\begin{matrix}g=\frac{12500Es^{2}}{22563km}\text{, }&m\neq 0\text{ and }k\neq 0\text{ and }s\neq 0\\g\in \mathrm{R}\text{, }&E=0\text{ and }k=0\text{ and }s\neq 0\text{ and }m\neq 0\end{matrix}\right.$$

Steps for Solving Linear Equation

Multiply both sides of the equation by s^{2}m^{3}, the least common multiple of m^{3};s^{2}.

$$Es^{2}m^{3}=s^{2}\times 920kg\times \frac{9,81m}{s^{2}}\left(2\times 10^{-4}\right)m^{3}$$

Calculate 10 to the power of -4 and get \frac{1}{10000}.

$$Es^{2}m^{3}=s^{2}\times 920kg\times \frac{9,81m}{s^{2}}\left(2\times \left(\frac{1}{10000}\right)\right)m^{3}$$

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

$$s^{2}\times 920kg\times \frac{9,81m}{s^{2}}\left(2\times \left(\frac{1}{10000}\right)\right)m^{3}=Es^{2}m^{3}$$

Multiply both sides of the equation by s^{2}.

$$s^{2}\times 920kg\times 9,81m\left(2\times \left(\frac{1}{10000}\right)\right)m^{3}=Es^{2}m^{3}s^{2}$$

Reorder the terms.

$$9,81\times 920gkms^{2}m^{3}\left(2\times \left(\frac{1}{10000}\right)\right)=Es^{2}s^{2}m^{3}$$

To multiply powers of the same base, add their exponents. Add 1 and 3 to get 4.

$$9,81\times 920gkm^{4}s^{2}\left(2\times \left(\frac{1}{10000}\right)\right)=Es^{2}s^{2}m^{3}$$

To multiply powers of the same base, add their exponents. Add 2 and 2 to get 4.

$$9,81\times 920gkm^{4}s^{2}\left(2\times \left(\frac{1}{10000}\right)\right)=Es^{4}m^{3}$$

Multiply 9,81 and 920 to get 9025,2.

$$9025,2gkm^{4}s^{2}\left(2\times \left(\frac{1}{10000}\right)\right)=Es^{4}m^{3}$$

The equation is in standard form.

$$\frac{22563ks^{2}m^{4}}{12500}g=Em^{3}s^{4}$$

Divide both sides by \frac{22563}{12500}m^{4}ks^{2}.

$$\frac{12500\times \frac{22563ks^{2}m^{4}}{12500}g}{22563ks^{2}m^{4}}=\frac{12500Em^{3}s^{4}}{22563ks^{2}m^{4}}$$

Dividing by \frac{22563}{12500}m^{4}ks^{2} undoes the multiplication by \frac{22563}{12500}m^{4}ks^{2}.

$$g=\frac{12500Em^{3}s^{4}}{22563ks^{2}m^{4}}$$

Divide Es^{4}m^{3} by \frac{22563}{12500}m^{4}ks^{2}.

$$g=\frac{12500Es^{2}}{22563km}$$

Solve for E

$$E=\frac{22563gkm}{12500s^{2}}$$

$$m\neq 0\text{ and }s\neq 0$$