Get the like letter terms together and subtract the constant term from
both sides:



Put parentheses around the x terms and the y terms,
skipping a space after each:



Complete the square in the first parentheses:
1. Multiply the coefficient of x, which is -2 by 1/2, getting -1
2. Square -1.  (-1)2, getting +1
3. Add it in the space in the first parentheses, and also add it
to the right side:



Complete the square in the second parentheses:
1. Multiply the coefficient of x, which is 14 by 1/2, getting 7
2. Square 7.  (7)2, getting +49
3. Add it in the space in the second parentheses, and also add it 
to the right side:



Factor each parentheses and combine numbers on the right:



Write the factorizations as squares:



Edwin