(x-16i)(x+16i)=0

Solution for (x-16i)(x+16i)=0 equation:

Simplifying
(x + -16i)(x + 16i) = 0

Reorder the terms:
(-16i + x)(x + 16i) = 0

Reorder the terms:
(-16i + x)(16i + x) = 0

Multiply (-16i + x) * (16i + x)
(-16i * (16i + x) + x(16i + x)) = 0
((16i * -16i + x * -16i) + x(16i + x)) = 0

Reorder the terms:
((-16ix + -256i2) + x(16i + x)) = 0
((-16ix + -256i2) + x(16i + x)) = 0
(-16ix + -256i2 + (16i * x + x * x)) = 0
(-16ix + -256i2 + (16ix + x2)) = 0

Reorder the terms:
(-16ix + 16ix + -256i2 + x2) = 0

Combine like terms: -16ix + 16ix = 0
(0 + -256i2 + x2) = 0
(-256i2 + x2) = 0

Solving
-256i2 + x2 = 0

Solving for variable 'i'.

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

Add '-1x2' to each side of the equation.
-256i2 + x2 + -1x2 = 0 + -1x2

Combine like terms: x2 + -1x2 = 0
-256i2 + 0 = 0 + -1x2
-256i2 = 0 + -1x2
Remove the zero:
-256i2 = -1x2

Divide each side by '-256'.
i2 = 0.00390625x2

Simplifying
i2 = 0.00390625x2

Take the square root of each side:
i = {-0.0625x, 0.0625x}