Solution - Absolute value equations

Absolute Value Equation entered :

      |3x+11|=0 

Step by step solution :

Step  1  :

Rearrange this Absolute Value Equation

Absolute value equalitiy entered
      |3x+11| = 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 |3x+11|

 For the Negative case we'll use -(3x+11) 

For the Positive case we'll use (3x+11) 

Step  3  :

Solve the Negative Case

      -(3x+11) = 0 

     Multiply
      -3x-11 = 0 

     Rearrange and Add up
      -3x = 11 

     Divide both sides by 3
      -x = (11/3) 

     Multiply both sides by (-1)
      x = -(11/3) 
     Which is the solution for the Negative Case

Step  4  :

Solve the Positive Case

      (3x+11) = 0 

     Rearrange and Add up
      3x = -11 

     Divide both sides by 3
      x = -(11/3) 

     Which is the solution for the Positive Case

Step  5  :

Wrap up the solution

 x=-11/3

Solution on the Number Line

One solution was found :