Question

3x^2 – X – 2 = 0 how do I solve this by factoring​

Answer 1

`x=-(2)/(3)` or
`x=1`

Explanation:

The given quadratic equation is
`3x^2-x-2=0`

You split the middle term with
`2x-3x` to get:

`3x^2+2x-3x-2=0`

We now factor by grouping to get:

`x(3x+2)-1(3x+2)=0`

Factor again to get:

`(3x+2)(x-1)=0`

Apply the zero product principle to get:

`(3x+2)=0` or
`(x-1)=0`

This implies that:

`x=-(2)/(3)` or
`x=1`