Question

I think I can solve this problem, but not entirely sure. Help? It's absolute value.

Answer 1

Solve for x: −3|2x + 6| = −12

x = 1 and x = 5

x = −1 and x = −5

x = −9 and x = 3

No solution

Answer 2

@amistre64 Could you show me?

Answer 3

@Nnesha ?

Answer 4

yes first we need to get rid of everything at left side except the absolute bar
so move -3 to the right side

Answer 5

Divide?

Answer 6

right divide both sides by -3

Answer 7

let me know what you get after that so we can continue :=))

Answer 8

um. -4

Answer 9

no negative divide by negative = positive

Answer 10

-12/-3= ?

Answer 11

Oh, okay. So +4

Answer 12

Positive 4.

Answer 13

right \[\left| 2x+ 6\right|=4\]
absolute contains two solution
\[\left| 2x+6 \right| \rightarrow (2x+6)^2\]
absolute bar of 2x+6 is same as square of (2x+6)
and when take square root we should get plus/minus answer \[\sqrt{x^2}= \pm x\]

Answer 14

What?

Answer 15

\[\left| 2x+6 \right|=4 \rightarrow 2x+6=4 ~\rm and~ 2x+6= -4\]
now solve both equation for x

Answer 16

Subtract 6 from both sides?

Answer 17

if the absolute bar equal to positive number
then you will get 2 solution here is an example \[\left| a+b \right|=c\]\[a+b = c ~~\rm and ~~ a+b=-c\]

Answer 18

yes right

Answer 19

Okay so 2x=-2?

Answer 20

for first equation yes 2x = -2

Answer 21

solve for x

Answer 22

Divide. x= -1?

Answer 23

right

Answer 24

2nd equation

Answer 25

-6 both sides?

Answer 26

right

Answer 27

So, -10.

Answer 28

2x=-10

Answer 29

-5?

Answer 30

looks good

Answer 31

So, it's b?

Answer 32

i think so.

Answer 33

Okay. Thank you! :)

Answer 34

np :=))