Solution - Absolute value equations

Absolute Value Equation entered :

      |x-3|=0 

Step by step solution :

Step  1  :

Rearrange this Absolute Value Equation

Absolute value equalitiy entered
      |x-3| = 0 

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 |x-3|

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

For the Positive case we'll use (x-3) 

Step  3  :

Solve the Negative Case

      -(x-3) = 0 

     Multiply
      -x+3 = 0 

     Rearrange and Add up
      -x = -3 

     Multiply both sides by (-1)
      x = 3 
     Which is the solution for the Negative Case

Step  4  :

Solve the Positive Case

      (x-3) = 0 

     Rearrange and Add up
      x = 3 

     Which is the solution for the Positive Case

Step  5  :

Wrap up the solution

 x=3

Solution on the Number Line

One solution was found :