Question

How do you solve `3x^2 - 6x - 24 = 0` by factoring?

Answer 1

`x=-2 or x=4`

Explanation:

Use factorizing of trinomial to write the expression as

`(3x+6)(x-4)=0`

This is now a product of 2 factors equal to zero so the only way this can be so is if either factor is zero.

`3x+6=0=>x=-2`

`x-4=0=>x=4`