Solve 1m^3=3.76*1.05*1.1Liters

$$1 m ^ { 3 } = 3.76 \times 1.05 \times 1.1 Liters$$

Solve for L

$$\left\{\begin{matrix}L=-\frac{2500im^{3}}{10857erst}\text{, }&s\neq 0\text{ and }t\neq 0\text{ and }r\neq 0\\L\in \mathrm{C}\text{, }&\left(r=0\text{ or }t=0\text{ or }s=0\right)\text{ and }m=0\end{matrix}\right.$$

Steps for Solving Linear Equation

Multiply 3.76 and 1.05 to get 3.948.

$$1m^{3}=3.948\times 1.1Liters$$

Multiply 3.948 and 1.1 to get 4.3428.

$$1m^{3}=4.3428Liters$$

Multiply 4.3428 and i to get 4.3428i.

$$1m^{3}=4.3428iLters$$

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

$$4.3428iLters=1m^{3}$$

Reorder the terms.

$$4.3428eiLrst=m^{3}$$

The equation is in standard form.

$$\frac{10857eirst}{2500}L=m^{3}$$

Divide both sides by 4.3428irest.

$$\frac{2500\times \frac{10857eirst}{2500}L}{10857eirst}=\frac{2500m^{3}}{10857eirst}$$

Dividing by 4.3428irest undoes the multiplication by 4.3428irest.

$$L=\frac{2500m^{3}}{10857eirst}$$

Divide m^{3} by 4.3428irest.

$$L=-\frac{2500im^{3}}{10857erst}$$

Solve for m

$$m=\frac{i\times 20^{\frac{2}{3}}e^{\frac{1+i\pi }{3}}\sqrt[3]{r}\sqrt[3]{s}\sqrt[3]{t}\sqrt[3]{10857L}}{100}$$

$$m=\frac{20^{\frac{2}{3}}e^{\frac{i\pi }{6}+\frac{1}{3}}\sqrt[3]{L}\sqrt[3]{r}\sqrt[3]{s}\sqrt[3]{10857t}}{100}$$

$$m=-\frac{i\times 20^{\frac{2}{3}}\sqrt[3]{L}\sqrt[3]{r}\sqrt[3]{10857s}\sqrt[3]{et}}{100}$$