Question

The equation `2x^2-2x-12=0` is factored. Each factor is set equal to zero. What are these two equations?

Answer 1

First step: you can take `2` out.

Explanation:

`-> 2(x^2-x-6)`

Now we need to find two numbers that add up to `-1` and have a product of `-6`. These turn out to be `-3and+2`

We then go to:
`2(x-3)(x+2)=0`

One of these factors needs to be `=0`, so:
`x-3=0->x=3`, or
`x+2=0->x=-2`