Question

Solve (x+2)(x-3)=6. Will give medal to whoever answers with explanation! :D

Answer 1

Well we could make some guesses and possibly come to an answer. But if we want to solve this algebraically, we have to have a zero on the right to use zero-product property or quadratic formula. That means we need to undo this multiplication and assimilate the 6 into the quadratic equation.
( x + 2 )( x - 3 ) = 6
We would expand the left-hand side by FOIL method or distribution.
Then we subtract 6 from both sides. We can then re-factor the left side.

Answer 2

Thanks! :D This is very helpful!

Answer 3

Glad to help! You were able to figure it out from there? :)