|8w+5|=21
please show work

w=-13/4

w=2

Step-by-step explanation:

|8w+5|=21

Step by step solution :

STEP

1

:

Rearrange this Absolute Value Equation

Absolute value equalitiy entered

     |8w+5| = 21

STEP

2

:

Clear the Absolute Value Bars

Clear the absolute-value bars by splitting the equation into its two cases, one for the Positive case and the other for the Negative case.

The Absolute Value term is |8w+5|

For the Negative case we'll use -(8w+5)

For the Positive case we'll use (8w+5)

STEP

3

:

Solve the Negative Case

     -(8w+5) = 21

    Multiply

     -8w-5 = 21

    Rearrange and Add up

     -8w = 26

    Divide both sides by 8

     -w = (13/4)

    Multiply both sides by (-1)

     w = -(13/4)

    Which is the solution for the Negative Case

STEP

4

:

Solve the Positive Case

     (8w+5) = 21

    Rearrange and Add up

     8w = 16

    Divide both sides by 8

     w = 2

    Which is the solution for the Positive Case

STEP

5

:

Wrap up the solution

w=-13/4

w=2

this doesn't make sense lol