The Answer: The first step is Rearranging the Equation
v=9
v=-5
Explanation:
STEP
1
:
Rearrange this Absolute Value Equation
Absolute value equalitiy entered
4|-v+2|-3 = 25
Another term is moved / added to the right hand side.
4|-v+2| = 28
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 4|-v+2|
For the Negative case we'll use -4(-v+2)
For the Positive case we'll use 4(-v+2)
STEP
3
:
Solve the Negative Case
-4(-v+2) = 28
Multiply
4v-8 = 28
Rearrange and Add up
4v = 36
Divide both sides by 4
v = 9
STEP
4
:
Solve the Positive Case
4(-v+2) = 28
Multiply
-4v+8 = 28
Rearrange and Add up
-4v = 20
Divide both sides by 4
-v = 5
Multiply both sides by (-1)
v = -5
Which is the solution for the Positive Case
STEP
5
:
Wrap up the solution
v=9
v=-5