Question

Question #598d5

Answer 1

`x=3/4` OR `x=-2/3`

Explanation:

You can factor this trinomial by multiplying `12` and `-6` together to get `-72`. Now you have to think of two numbers that multiply to `-72` and add up to `-1` (because `b=-1`).

These two numbers are `-9 and 8`, so:

`12x^2-1x-6=0` can be rewritten as:

`12x^2+8x-9x-6=0`

Factor by parts to get:

`4x(3x+2)-3(3x+2)=0`

`(4x-3)(3x+2)=0`

The Zero Product Property says if we can set each factor equal to `0`:

`4x-3=0->4x=3->x=3/4`
OR
`3x+2=0->3x=-2->x=-2/3`