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What is the first step in
solving this equation?
4|2-v|-3= 25

1 Answer

2 votes

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

User SriniShine
by
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