Solution - Absolute value equations

Absolute Value Equation entered :

      |2t+2|=12 

Step by step solution :

Step  1  :

Rearrange this Absolute Value Equation

Absolute value equalitiy entered
      |2t+2| = 12 

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 |2t+2|

 For the Negative case we'll use -(2t+2) 

For the Positive case we'll use (2t+2) 

Step  3  :

Solve the Negative Case

      -(2t+2) = 12 

     Multiply
      -2t-2 = 12 

     Rearrange and Add up
      -2t = 14 

     Divide both sides by 2
      -t = 7 

     Multiply both sides by (-1)
      t = -7 
     Which is the solution for the Negative Case

Step  4  :

Solve the Positive Case

      (2t+2) = 12 

     Rearrange and Add up
      2t = 10 

     Divide both sides by 2
      t = 5 

     Which is the solution for the Positive Case

Step  5  :

Wrap up the solution

 t=-7
 t=5

Solutions on the Number Line

Two solutions were found :

1.  t=5
   
2.  t=-7