Solve 0.55cm^2=mm^2

$$0.55 cm ^ { 2 } = mm ^ { 2 }$$

Solve for c (complex solution)

$$\left\{\begin{matrix}\\c=\frac{20m}{11}\text{, }&\text{unconditionally}\\c\in \mathrm{C}\text{, }&m=0\end{matrix}\right.$$

Steps for Solving Linear Equation

To multiply powers of the same base, add their exponents. Add 1 and 2 to get 3.

$$0.55cm^{2}=m^{3}$$

The equation is in standard form.

$$\frac{11m^{2}}{20}c=m^{3}$$

Divide both sides by 0.55m^{2}.

$$\frac{20\times \frac{11m^{2}}{20}c}{11m^{2}}=\frac{20m^{3}}{11m^{2}}$$

Dividing by 0.55m^{2} undoes the multiplication by 0.55m^{2}.

$$c=\frac{20m^{3}}{11m^{2}}$$

Divide m^{3} by 0.55m^{2}.

$$c=\frac{20m}{11}$$

Solve for c

$$\left\{\begin{matrix}\\c=\frac{20m}{11}\text{, }&\text{unconditionally}\\c\in \mathrm{R}\text{, }&m=0\end{matrix}\right.$$

Steps for Solving Linear Equation

To multiply powers of the same base, add their exponents. Add 1 and 2 to get 3.

$$0.55cm^{2}=m^{3}$$

The equation is in standard form.

$$\frac{11m^{2}}{20}c=m^{3}$$

Divide both sides by 0.55m^{2}.

$$\frac{20\times \frac{11m^{2}}{20}c}{11m^{2}}=\frac{20m^{3}}{11m^{2}}$$

Dividing by 0.55m^{2} undoes the multiplication by 0.55m^{2}.

$$c=\frac{20m^{3}}{11m^{2}}$$

Divide m^{3} by 0.55m^{2}.

$$c=\frac{20m}{11}$$

Solve for m

$$m=0$$

$$m=\frac{11c}{20}$$