Question

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

Answer 1

`v=0` and `v=8`

Explanation:

We can factor out `3v`:

`3v(v-8)=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:

`3v=0 -> v=0`

`v-8=0 -> v=8`

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