Solve (-1+N)P_{0}=0

$$( - 1 + N ) P _ { 0 } = 0$$

Solve for N

$$\left\{\begin{matrix}\\N=1\text{, }&\text{unconditionally}\\N\in \mathrm{R}\text{, }&P_{0}=0\end{matrix}\right.$$

Steps for Solving Linear Equation

Use the distributive property to multiply -1+N by P_{0}.

$$-P_{0}+NP_{0}=0$$

Add P_{0} to both sides. Anything plus zero gives itself.

$$NP_{0}=P_{0}$$

The equation is in standard form.

$$P_{0}N=P_{0}$$

Divide both sides by P_{0}.

$$\frac{P_{0}N}{P_{0}}=\frac{P_{0}}{P_{0}}$$

Dividing by P_{0} undoes the multiplication by P_{0}.

$$N=\frac{P_{0}}{P_{0}}$$

Divide P_{0} by P_{0}.

$$N=1$$

Solve for P_0

$$\left\{\begin{matrix}\\P_{0}=0\text{, }&\text{unconditionally}\\P_{0}\in \mathrm{R}\text{, }&N=1\end{matrix}\right.$$

Steps for Solving Linear Equation

The equation is in standard form.

$$\left(N-1\right)P_{0}=0$$

Divide 0 by -1+N.

$$P_{0}=0$$