Question

How do you solve `2x^2-x-6=0` by factoring?

Answer 1

`x=-3/2`
or
`x=2`

Explanation:

`2x^2-x-6`
`color(white)("XXX")=(2x+3)(x-2)`

So `2x^2-x-6=0`
`rarrcolor(white)("XXX")(2x+3)=0color(white)("XXX)`or`color(white)("XXX)(x-2)=0`

`rarrcolor(white)("XXX")x=-3/2color(white)("XXXXX)`or`color(white)("XXX)x=2`