Solve for v v^2=13v

$v^{2} = 13 v$

Subtract $13 v$ from both sides of the equation.

$v^{2} - 13 v = 0$

Factor $v$ out of $v^{2} - 13 v$ .

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

$v \cdot v - 13 v = 0$

Factor $v$ out of $- 13 v$ .

$v \cdot v + v \cdot - 13 = 0$

Factor $v$ out of $v \cdot v + v \cdot - 13$ .

$v (v - 13) = 0$

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

$v = 0$

$v - 13 = 0$

Set $v$ equal to $0$ .

$v = 0$

Set $v - 13$ equal to $0$ and solve for $v$ .

Set $v - 13$ equal to $0$ .

$v - 13 = 0$

Add $13$ to both sides of the equation.

$v = 13$

The final solution is all the values that make $v (v - 13) = 0$ true.

$v = 0, 13$