Solve N=kg(m)/s^2

$$N = \frac { k g ( m ) } { s ^ { 2 } }$$

Solve for g

$$\left\{\begin{matrix}g=\frac{Ns^{2}}{km}\text{, }&m\neq 0\text{ and }k\neq 0\text{ and }s\neq 0\\g\in \mathrm{R}\text{, }&\left(m=0\text{ or }k=0\right)\text{ and }N=0\text{ and }s\neq 0\end{matrix}\right.$$

Steps for Solving Linear Equation

Multiply both sides of the equation by s^{2}.

$$Ns^{2}=kgm$$

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

$$kgm=Ns^{2}$$

The equation is in standard form.

$$kmg=Ns^{2}$$

Divide both sides by km.

$$\frac{kmg}{km}=\frac{Ns^{2}}{km}$$

Dividing by km undoes the multiplication by km.

$$g=\frac{Ns^{2}}{km}$$

Solve for N

$$N=\frac{gkm}{s^{2}}$$

$$s\neq 0$$