The what value complete the square for the expression x squared plus 16x

Take the coefficient of the x-term, half it, then square that. add this to both sides

x² + 16x. coefficient of x is 16. half of 16 is 8. 8²=64

x² + 16x + 64 = 64. this is your answer but to continue

x² + 16x + 64 = 64

(x+8) ² = 64

x+8 = ✓64

x + 8 = ±8

x = 0 or - 16