Solve x(7*7)*12=196cm^3

$$x ( 7 \times 7 ) \times 12 = 196 cm ^ { 3 }$$

Solve for c (complex solution)

$$\left\{\begin{matrix}c=\frac{3x}{m^{3}}\text{, }&m\neq 0\\c\in \mathrm{C}\text{, }&x=0\text{ and }m=0\end{matrix}\right.$$

Steps for Solving Linear Equation

Multiply 7 and 7 to get 49.

$$x\times 49\times 12=196cm^{3}$$

Multiply 49 and 12 to get 588.

$$x\times 588=196cm^{3}$$

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

$$196cm^{3}=x\times 588$$

The equation is in standard form.

$$196m^{3}c=588x$$

Divide both sides by 196m^{3}.

$$\frac{196m^{3}c}{196m^{3}}=\frac{588x}{196m^{3}}$$

Dividing by 196m^{3} undoes the multiplication by 196m^{3}.

$$c=\frac{588x}{196m^{3}}$$

Divide 588x by 196m^{3}.

$$c=\frac{3x}{m^{3}}$$

Solve for c

$$\left\{\begin{matrix}c=\frac{3x}{m^{3}}\text{, }&m\neq 0\\c\in \mathrm{R}\text{, }&x=0\text{ and }m=0\end{matrix}\right.$$

Steps for Solving Linear Equation

Multiply 7 and 7 to get 49.

$$x\times 49\times 12=196cm^{3}$$

Multiply 49 and 12 to get 588.

$$x\times 588=196cm^{3}$$

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

$$196cm^{3}=x\times 588$$

The equation is in standard form.

$$196m^{3}c=588x$$

Divide both sides by 196m^{3}.

$$\frac{196m^{3}c}{196m^{3}}=\frac{588x}{196m^{3}}$$

Dividing by 196m^{3} undoes the multiplication by 196m^{3}.

$$c=\frac{588x}{196m^{3}}$$

Divide 588x by 196m^{3}.

$$c=\frac{3x}{m^{3}}$$

Solve for m (complex solution)

$$\left\{\begin{matrix}m=e^{\frac{2\pi i}{3}}c^{-\frac{1}{3}}\sqrt[3]{3x}\text{; }m=c^{-\frac{1}{3}}\sqrt[3]{3x}\text{; }m=e^{\frac{4\pi i}{3}}c^{-\frac{1}{3}}\sqrt[3]{3x}\text{, }&c\neq 0\\m\in \mathrm{C}\text{, }&x=0\text{ and }c=0\end{matrix}\right.$$

Solve for m

$$\left\{\begin{matrix}m=\sqrt[3]{\frac{3x}{c}}\text{, }&c\neq 0\\m\in \mathrm{R}\text{, }&x=0\text{ and }c=0\end{matrix}\right.$$