Answer:
We think you wrote:
|6-3p|=30
This deals with absolute value equations.
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Step by Step Solution
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Absolute Value Equation entered :
Step by step solution :
STEP
1
:
Rearrange this Absolute Value Equation
Absolute value equalitiy entered
|-3p+6| = 30
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 |-3p+6|
For the Negative case we'll use -(-3p+6)
For the Positive case we'll use (-3p+6)
3
Solve the Negative Case
-(-3p+6) = 30
Multiply
3p-6 = 30
Rearrange and Add up
3p = 36
Divide both sides by 3
p = 12
4
Solve the Positive Case
(-3p+6) = 30
-3p = 24
-p = 8
Multiply both sides by (-1)
p = -8
Which is the solution for the Positive Case
5
Wrap up the solution
p=12
p=-8
Step-by-step explanation:
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Answers & Comments
Answer:
We think you wrote:
|6-3p|=30
This deals with absolute value equations.
Overview
Steps
Topics
Links
2 solution(s) found
See steps
Step by Step Solution
More Icon
Absolute Value Equation entered :
|6-3p|=30
Step by step solution :
STEP
1
:
Rearrange this Absolute Value Equation
Absolute value equalitiy entered
|-3p+6| = 30
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 |-3p+6|
For the Negative case we'll use -(-3p+6)
For the Positive case we'll use (-3p+6)
STEP
3
:
Solve the Negative Case
-(-3p+6) = 30
Multiply
3p-6 = 30
Rearrange and Add up
3p = 36
Divide both sides by 3
p = 12
STEP
4
:
Solve the Positive Case
(-3p+6) = 30
Rearrange and Add up
-3p = 24
Divide both sides by 3
-p = 8
Multiply both sides by (-1)
p = -8
Which is the solution for the Positive Case
STEP
5
:
Wrap up the solution
p=12
p=-8
Step-by-step explanation:
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