Solution - Absolute value equations

Absolute Value Equation entered :

      |10x-3|=0 

Step by step solution :

Step  1  :

Rearrange this Absolute Value Equation

Absolute value equalitiy entered
      |10x-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 |10x-3|

 For the Negative case we'll use -(10x-3) 

For the Positive case we'll use (10x-3) 

Step  3  :

Solve the Negative Case

      -(10x-3) = 0 

     Multiply
      -10x+3 = 0 

     Rearrange and Add up
      -10x = -3 

     Divide both sides by 10
      -x = -(3/10) 

     Multiply both sides by (-1)
      x = (3/10) 
     Which is the solution for the Negative Case

Step  4  :

Solve the Positive Case

      (10x-3) = 0 

     Rearrange and Add up
      10x = 3 

     Divide both sides by 10
      x = (3/10) 

     Which is the solution for the Positive Case

Step  5  :

Wrap up the solution

 x=3/10

Solution on the Number Line

One solution was found :