Question

Solve: |4x + 2| + 6 =0

Answer 1

|4x+2| = - 6, is it possible?

Answer 2

\(\mathsf{|x| \ge 0}\)
It can never be less than zero. So no solution for x here.

Answer 3

what

Answer 4

@jhonyy9 can you explain it better

Answer 5

jazzy can u tell me, what does |x| mean?

Answer 6

it's a variable for the number we don't know

Answer 7

Not completely true. |x| is diff. from x.

|x| means absolute value of x that is , if x is negative , then |x| will be positive. If x is positive, then |x| will be positive.

Example : |-3| = 3

|-2| = 2

Answer 8

So that means, |x| can not be negative.

Answer 9

Getting it?

Answer 10

yes a little

Answer 11

Good. so we have in the question : |4x+2| + 6 =0

that means, |4x+2| = -6 , right?

Answer 12

yes

Answer 13

But as we discussed earlier, |anything| can not be negative. But here, we have |4x+2| as negative that is -6.

So, it is not possible for any value of x.

Answer 14

So I will say there is no solutions.

Answer 15

okay

Answer 16

wait so if the answer has to be positive

Answer 17

Well actually, if it wasy |4x+2| - 6 = 0

then : |4x+2| = 6

You have further took cases and solved it.

Answer 18

But here it is clear that, we have |4x+2| = - 6

which is not possible. So, the only point is to notice here that as it is not true for any value of x , so there will be no solutions.

Lemme know where u have doubt ?

Answer 19

Sorry have to go, but if u have further doubts, u can consult @Zarkon and @jhonyy9 .

Answer 20

okay @jhonyy9 aren't we suppose to remove the absolute value symbol

Answer 21

can some one please answer my question

Answer 22

the answer is Empty set or no solution({ })because a number out of absolute value never be negative!!!!!

Answer 23

still confused

Answer 24

[4x+2]=-6.....(after rearranging)
it shows that any number is substituted in place of X it never gives negative number !!!!it is always >= 0

Answer 25

o now I get it thanks