Solve for n n^2-2n=0

$n^{2} - 2 n = 0$

Step 1

Factor $n$ out of $n^{2} - 2 n$ .

Factor $n$ out of $n^{2}$ .

$n \cdot n - 2 n = 0$

Factor $n$ out of $- 2 n$ .

$n \cdot n + n \cdot - 2 = 0$

Factor $n$ out of $n \cdot n + n \cdot - 2$ .

$n (n - 2) = 0$

Step 2

If any individual factor on the left side of the equation is equal to $0$ , the entire expression will be equal to $0$ .

$n = 0$

$n - 2 = 0$

Step 3

Set $n$ equal to $0$ .

$n = 0$

Step 4

Set $n - 2$ equal to $0$ and solve for $n$ .

Set $n - 2$ equal to $0$ .

$n - 2 = 0$

Add $2$ to both sides of the equation.

$n = 2$

Step 5

The final solution is all the values that make $n (n - 2) = 0$ true.

$n = 0, 2$