1) 2x^2 + 8x + 16 = 4
2x^2 + 8x + 12 = 0

This is a quadratic equation that can be solved using the quadratic formula:

x = (-b ± sqrt(b^2 - 4ac)) / 2a

In this case, a = 2, b = 8, and c = 12. Plugging these values into the formula:

x = (-8 ± sqrt(8^2 - 4212)) / 2*2
x = (-8 ± sqrt(64 - 96)) / 4
x = (-8 ± sqrt(-32)) / 4
x = (-8 ± 4i√2) / 4
x = -2 ± i√2

Therefore, the solutions to the equation 2x^2 + 8x + 16 = 4 are x = -2 + i√2 and x = -2 - i√2.

2) x^2 + 8x + 16 = 9
x^2 + 8x + 7 = 0

This is another quadratic equation that can be solved using the quadratic formula:

x = (-b ± sqrt(b^2 - 4ac)) / 2a

In this case, a = 1, b = 8, and c = 7. Plugging these values into the formula:

x = (-8 ± sqrt(8^2 - 417)) / 2*1
x = (-8 ± sqrt(64 - 28)) / 2
x = (-8 ± sqrt(36)) / 2
x = (-8 ± 6) / 2

The solutions to the equation x^2 + 8x + 16 = 9 are x = -1 and x = -7.