The first few steps in solving a quadratic equation 5x2+27x=14-13x by completing the square as shown.

For this case we have the following quadratic function
 
 To solve by completing squares, we must take into account the following procedures:
 1) The variables on one side of the equation:
 
 2) The leading term equal to 1:
 
 3) Complete the square:
 
 
 
 The solutions are:
 

The solution to the system of equations (-2,2)