Solution - Radical equations

Radical Equation entered :

     √3x-15-12 = 0

Step by step solution :

Step  1  :

Isolate the square root on the left hand side :

     Radical already isolated
     √3x-15-12 = 0

Step  2  :

Eliminate the radical on the left hand side :

     Raise both sides to the second power
     (√3x-15-12)² = ()²

     After squaring
     3x-15-12 = 

Step  3  :

Solve the linear equation :

     Rearranged equation
      3x  -27 = 0

     Add  27  to both sides
      3x  = 27

     Divide both sides by 3
     A possible solution is :
     x = 9

Step  4  :

Check that the solution is correct :

     Original equation
     √3x-15-12 = 

     Plug in 9 for  x 
      √3•(9)-15-12 = 

      Simplify
      √0 = 0
      Solution checks !!
     Solution is:
      x = 9

One solution was found :