Question

Solve for x: −3|2x + 6| = −12

x = 1 and x = 5

x = −1 and x = −5

x = −9 and x = 3

No solution
xapproachesinfinity

Answer 1

hey the same thing here!
go back to our problem earlier and see we have done

Answer 2

how do you start divide both sides by -3?

Answer 3

No. Distribute the 3.

Answer 4

The equation would look like
-3(2x+6)=-12

Answer 5

And the other would be
3(2x+6)=-12

Answer 6

xapproachesinfinity please explain

Answer 7

Faith you are wrong

Answer 8

How?

Answer 9

@lanM123 you right you divide by -3

Answer 10

im almost positive that you have to divide both sides by -3

Answer 11

Why would you divide by -3?

Answer 12

no you are positive no only almost positive ^_^

Answer 13

so you get |2x+6|=4 correct?

Answer 14

I got the second answer.

Answer 15

because yo have an absolute value you need to isolate it first
otherwise you can't go further
those are not parenthesis to do what you said

Answer 16

Yes! correct!

Answer 17

you are going in good direction

Answer 18

okay what next?

Answer 19

now the critical step!

Answer 20

2x+6=4 or 2x+6=-4

Answer 21

recall what we did! we said that inside the abs value can positive or nagative
so if is positive we just say 2x+6=4
if it is negative we have to make it 2x+6=-4
so we are making up for the negative
since whatever you through in abs value it will give us a positive resutl
it called abs value because of this (aka: the distance! distance can never be negative it will make no since to say i went -3 three step to my left)

Answer 22

sense*

Answer 23

sorry for the grammar

Answer 24

its okay and this is the part that i don't get

Answer 25

i see you are still having trouble with this!
|x|=a ===> x=a or -x=a

Answer 26

no problem with this?

Answer 27

no problem that is the 2 option thing