Solution - Absolute value equations

Absolute Value Equation entered :

      |3a|=6 

Step by step solution :

Step  1  :

Rearrange this Absolute Value Equation

Absolute value equalitiy entered
      |3a| = 6 

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 |3a|

 For the Negative case we'll use -(3a) 

For the Positive case we'll use (3a) 

Step  3  :

Solve the Negative Case

      -(3a) = 6 

     Multiply
      -3a = 6 

     Divide both sides by 3
      -a = 2 

     Multiply both sides by (-1)
      a = -2 
     Which is the solution for the Negative Case

Step  4  :

Solve the Positive Case

      (3a) = 6 

     Divide both sides by 3
      a = 2 

     Which is the solution for the Positive Case

Step  5  :

Wrap up the solution

 a=-2
 a=2

Solutions on the Number Line

Two solutions were found :

1.  a=2
   
2.  a=-2