Question 884804
x^2+6x=16

Finding the third term to complete the square

Third term = ( (1/2) * co-efficient of x)^2

= (( 1/2) *6)^2

=9

x^2+6x=16
add 9 to both sides

x^2+6x+9=16+9

(x+3)^2 = 25

x+3 = +/- 5

x= -3+5 = +2
OR
x=-3-5 =-8

x= 2 OR -8