Solution - Radical equations

Radical Equation entered :

     √w-7 = 5

Step by step solution :

Step  1  :

Isolate the square root on the left hand side :

     Radical already isolated
     √w-7 = 5

Step  2  :

Eliminate the radical on the left hand side :

     Raise both sides to the second power
     (√w-7)² = (5)²

     After squaring
     w-7 = 25

Step  3  :

Solve the linear equation :

     Rearranged equation
     w -32 = 0

     Add  32  to both sides
     w = 32

     A possible solution is :
     w = 32

Step  4  :

Check that the solution is correct :

     Original equation
     √w-7 = 5

     Plug in 32 for  w 
      √(32)-7 = 5

      Simplify
      √25 = 5
      Solution checks !!
     Solution is:
      w = 32

One solution was found :