Question

Solve for x: −3|2x + 6| = −12

Answer 1

@Vocaloid

Answer 2

First divideboth sides by -3

Answer 3

|2x + 6| = 4

Then solve for the positive and negative condition

Answer 4

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

Answer 5

you are go to fast

Answer 6

ok I can start over

Answer 7

ok

Answer 8

Since we have -3|2x+6| we want to try and get the absolute value expression by itself

Answer 9

ok

Answer 10

In order to get rid of that -3 we divide by -3

Answer 11

-3 divide -3

Answer 12

-3|2x + 6| divided by -3

Answer 13

That leaves us with |2x + 6|

Answer 14

did you divided the -12 with the -3

Answer 15

Yes

Answer 16

4

Answer 17

|2x + 6| = 4

Answer 18

So |2x + 6| = 4
means:

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

Answer 19

Then you would solve for x (you should get two x values)

Answer 20

|A| = B

Implies that A can be B or -B

Answer 21

absolute value can be negative

Answer 22

The expression inside the absolute value can be negative

Answer 23

This is ok: |-A| = 4

This has no solution: |A| = -4

Answer 24

ok

Answer 25

\(\color{#0cbb34}{\text{Originally Posted by}}\) @Vocaloid
So |2x + 6| = 4
means:

2x + 6 = 4
2x + 6 = -4
\(\color{#0cbb34}{\text{End of Quote}}\)

Answer 26

Can you try solving for x now?

Answer 27

yes

Answer 28

x=−5,−1

Answer 29

Food that's your answer

Answer 30

*good not food