How do I solve this equation?

Question

(absolute value of 4x=1)=0.5

Answer 1

Let's assume you meant:

|4x-1| = 0.5

In effect you have two equations to solve:

4x-1 = 0.5 and -(4x-1) = 0.5

4x - 1 = 0.5
4x = 1.5
x = 1.5/4
x = .375

-(4x-1) = 0.5
-4x + 1 = 0.5
-4x = -.5
4x = .5
x = .125

So x is either 0.125 OR 0.375

CHECK:
For x = 0.125
|4x-1| = |4(0.125)-1| = |.5 - 1| = |-.5| = .5

For x = 0.375
|4x-1| = |4(0.375)-1| = |1.5-1| = |.5| = .5

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Now if your actual equation was |4x+1| = .5, the approach would be the same; ie two equations
4x + 1 = .5 AND -(4x+1) = .5
with solutions of
x = -0.125 and x = -0.375

Answer 2

First, I am going to assume your original question was |4x+1|=0.5

Let's also be aware that since absolute value is involved, there is a possibility (a good one, too), there may be more than one value for X.

If an absolute value of x, |x|=y then you can also say x=+/- y.

First, I'll consider two cases
4x+1=+0.5
4x+1=-0.5

and solve both cases
4x+1=+0.5
4x=+0.5-1
4x=-0.5
x=-0.125

4x+1=-0.5
4x=-0.5-1
4x=-1.5
x=-0.375

therefore x=-0.125 or -0.375

Answer 3

yeah, there's something wrong in your question...

should it read : 4x + 1 = 0.5 ?

4x = 0.5 - 1
4x = -0.5
x = -0.125

Answer 4

|4x+1|=0.5
-1 -1
4x= -0.5
/4 /4
x= -0.125
But | | cannot be negative

.: |x| = 0.125

x= 0.125 or -0.125

Answer 5

Not all questions have answers. This is one of those

Answer 6

i think there is something wrong with ur question