Using the following equation find the center of the circle by completing the square. x2 + y2 + 16x − 14y − 150 = 0 center: (−8, 7) center: (8, 7) center: (7, 8) center: (−7, 8)

Group your x stuff together and your y stuff together and move the constant over to the other side to start.  .  Now complete the squares on the x and y terms by taking half the linear terms (the x and y terms), squaring it, and then adding it to both sides.  In the set of parenthesis with the x, the linear term is 16.  Half of 16 is 8 and 8 squared is 64, so add it to both sides.  Now for the y terms.  In the set of parenthesis with the y, the linear term is 14.  Half of 14 is 7 and 7 squared is 49.  So add that in too.  Now what you have is this:   Simplifying that down into its perfect square binomials you have the equation for the circle now:  .  The center then is (-8, 7)