Solve mg=f_{n}Rightarrowf_{n}*40

$$m g = f _ { n } \Rightarrow f _ { n } \cdot 40$$

Solve for g (complex solution)

$$\left\{\begin{matrix}g=\frac{f_{n}}{m}\text{, }&m\neq 0\\g\in \mathrm{C}\text{, }&f_{n}=0\text{ and }m=0\end{matrix}\right.$$

Steps for Solving Linear Equation

The equation is in standard form.

$$mg=f_{n}$$

Divide both sides by m.

$$\frac{mg}{m}=\frac{f_{n}}{m}$$

Dividing by m undoes the multiplication by m.

$$g=\frac{f_{n}}{m}$$

Solve for g

$$\left\{\begin{matrix}g=\frac{f_{n}}{m}\text{, }&m\neq 0\\g\in \mathrm{R}\text{, }&f_{n}=0\text{ and }m=0\end{matrix}\right.$$

Steps for Solving Linear Equation

The equation is in standard form.

$$mg=f_{n}$$

Divide both sides by m.

$$\frac{mg}{m}=\frac{f_{n}}{m}$$

Dividing by m undoes the multiplication by m.

$$g=\frac{f_{n}}{m}$$

Solve for f_n

$$f_{n}=gm$$

Solution Steps

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

$$f_{n}=mg$$