|2z-3|=4z-1

Make two equations

2z-3 = +(4z-1)      or     2z-3 = -(4z-1)
2z-3 = 4z-1                2z-3 = -4z+1        
 -2z = 2                     6z = 4
   z = -1                     z = 
                              z = 

We must check the solutions because sometimes
we get extraneous solutions.

Check z = -1              Check z = 
   
 |2z-3| = 4z-1               |2z-3| = 4z-1
|2(-1)-3| = 4(-1)-1         |2()-3| = 4-1
|-2-3| = -4-1               |-3| = -1 
  |-5| = -5                 || =  
     5 = -5                   || =   
That's false so                 =      
z = -1 is NOT a               That's true, so the only
solution and must             solution is z = 
be discarded.

Edwin