Solve 17000mm^2=1cm

$$17000 mm ^ { 2 } = 1 cm$$

Solve for c (complex solution)

$$\left\{\begin{matrix}\\c=17000m^{2}\text{, }&\text{unconditionally}\\c\in \mathrm{C}\text{, }&m=0\end{matrix}\right.$$

Steps for Solving Linear Equation

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

$$17000m^{3}=1cm$$

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

$$1cm=17000m^{3}$$

Reorder the terms.

$$cm=17000m^{3}$$

The equation is in standard form.

$$mc=17000m^{3}$$

Divide both sides by m.

$$\frac{mc}{m}=\frac{17000m^{3}}{m}$$

Dividing by m undoes the multiplication by m.

$$c=\frac{17000m^{3}}{m}$$

Divide 17000m^{3} by m.

$$c=17000m^{2}$$

Solve for c

$$\left\{\begin{matrix}\\c=17000m^{2}\text{, }&\text{unconditionally}\\c\in \mathrm{R}\text{, }&m=0\end{matrix}\right.$$

Steps for Solving Linear Equation

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

$$17000m^{3}=1cm$$

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

$$1cm=17000m^{3}$$

Reorder the terms.

$$cm=17000m^{3}$$

The equation is in standard form.

$$mc=17000m^{3}$$

Divide both sides by m.

$$\frac{mc}{m}=\frac{17000m^{3}}{m}$$

Dividing by m undoes the multiplication by m.

$$c=\frac{17000m^{3}}{m}$$

Divide 17000m^{3} by m.

$$c=17000m^{2}$$

Solve for m (complex solution)

$$m=\frac{\sqrt{170c}}{1700}$$

$$m=0$$

$$m=-\frac{\sqrt{170c}}{1700}$$

Solve for m

$$\left\{\begin{matrix}\\m=0\text{, }&\text{unconditionally}\\m=\frac{\sqrt{170c}}{1700}\text{; }m=-\frac{\sqrt{170c}}{1700}\text{, }&c\geq 0\end{matrix}\right.$$