Solve for p p^2-5p=0

$p^{2} - 5 p = 0$

Step 1

Factor $p$ out of $p^{2} - 5 p$ .

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

$p \cdot p - 5 p = 0$

Factor $p$ out of $- 5 p$ .

$p \cdot p + p \cdot - 5 = 0$

Factor $p$ out of $p \cdot p + p \cdot - 5$ .

$p (p - 5) = 0$

Step 2

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

$p = 0$

$p - 5 = 0$

Step 3

Set $p$ equal to $0$ .

$p = 0$

Step 4

Set $p - 5$ equal to $0$ and solve for $p$ .

Set $p - 5$ equal to $0$ .

$p - 5 = 0$

Add $5$ to both sides of the equation.

$p = 5$

Step 5

The final solution is all the values that make $p (p - 5) = 0$ true.

$p = 0, 5$