(4+4i)(-4+4i)=

Solution for (4+4i)(-4+4i)= equation:

Simplifying
(4 + 4i)(-4 + 4i) = 0

Multiply (4 + 4i) * (-4 + 4i)
(4(-4 + 4i) + 4i * (-4 + 4i)) = 0
((-4 * 4 + 4i * 4) + 4i * (-4 + 4i)) = 0
((-16 + 16i) + 4i * (-4 + 4i)) = 0
(-16 + 16i + (-4 * 4i + 4i * 4i)) = 0
(-16 + 16i + (-16i + 16i2)) = 0

Combine like terms: 16i + -16i = 0
(-16 + 0 + 16i2) = 0
(-16 + 16i2) = 0

Solving
-16 + 16i2 = 0

Solving for variable 'i'.

Move all terms containing i to the left, all other terms to the right.

Add '16' to each side of the equation.
-16 + 16 + 16i2 = 0 + 16

Combine like terms: -16 + 16 = 0
0 + 16i2 = 0 + 16
16i2 = 0 + 16

Combine like terms: 0 + 16 = 16
16i2 = 16

Divide each side by '16'.
i2 = 1

Simplifying
i2 = 1

Take the square root of each side:
i = {-1, 1}