# How do you solve 3v ^ { 2} - 24v = 0?

Apr 3, 2018

$v = 0$ and $v = 8$

#### Explanation:

We can factor out $3 v$:

$3 v \left(v - 8\right) = 0$

By the zero factor principle, the equation will be zero when each of the factors are zero, so we solve for when the factors are zero:

$3 v = 0 \to v = 0$

$v - 8 = 0 \to v = 8$

Therefore, the solutions are $v = 0$ and $v = 8$