Question

Solve for x: |3x + 2| = 2

Answer 1

x = 0 and x = - 4 / 3

x = 4 / 3 and x = - 4 / 3

x = 0

No Solutions

Answer 2

@blue_cheetah @Bearsfan98 @bigmatt can you guys help me out please?

Answer 3

What's te absolute value of 3x+2 ?

Answer 4

i have no idea

Answer 5

So you have 0% knowledge of Absolute Value?
ex: |-3| You know that absolute value of -3?

Answer 6

oh yeah nvm i remember

Answer 7

So what's the absolute value of 3x + 2?

Answer 8

2? maybe

Answer 9

Well. The absolute value of 2 is 2.
But what's the absolute value of 3x?

Answer 10

I would think it's 3|x|. The 3 can come out, but the x can be anything still. That is if you are only looking at the |3x|

Answer 11

3? @GoldPhenoix

Answer 12

Nope. I'll explain this to you later.
The absolute value of 3x + 2 is 3x + 2.
So: |3x + 2| = 3x+2

So now your equation looks like: 3x + 2 = 2

Now solve it as an ordinary equation. :)

Answer 13

so 3x=0

Answer 14

Hmm. Wait.

Answer 15

pleaze hurry i have to finish by 12;00 and i have 9 min !!!

Answer 16

1. First eliminate the absolute value (by rewriting this is the rule)
\[3x+2=2\]\[3x = 0\]\[x = 0\]

Now you need to do the equation that is made by rewriting.
\[3x+2= -2\]\[3x=-4\]\[x=-\frac{ 4 }{ 3 }\]

Answer 17

^Right on the spot.

Answer 18

So when you are eliminating the absolute value, you should always start by writing 2 equations. In this case we write:
\[3x+2=2\]and \[3x+2=-2\]
Then solve both.

Answer 19

x = 0 and x = - 4 / 3 so that?

Answer 20

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Answer 21

Yes.

Answer 22

okay thankyou!!!