(x-8i)(x+8i)=

Solution for (x-8i)(x+8i)= equation:

Simplifying
(x + -8i)(x + 8i) = 0

Reorder the terms:
(-8i + x)(x + 8i) = 0

Reorder the terms:
(-8i + x)(8i + x) = 0

Multiply (-8i + x) * (8i + x)
(-8i * (8i + x) + x(8i + x)) = 0
((8i * -8i + x * -8i) + x(8i + x)) = 0

Reorder the terms:
((-8ix + -64i2) + x(8i + x)) = 0
((-8ix + -64i2) + x(8i + x)) = 0
(-8ix + -64i2 + (8i * x + x * x)) = 0
(-8ix + -64i2 + (8ix + x2)) = 0

Reorder the terms:
(-8ix + 8ix + -64i2 + x2) = 0

Combine like terms: -8ix + 8ix = 0
(0 + -64i2 + x2) = 0
(-64i2 + x2) = 0

Solving
-64i2 + 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.
-64i2 + x2 + -1x2 = 0 + -1x2

Combine like terms: x2 + -1x2 = 0
-64i2 + 0 = 0 + -1x2
-64i2 = 0 + -1x2
Remove the zero:
-64i2 = -1x2

Divide each side by '-64'.
i2 = 0.015625x2

Simplifying
i2 = 0.015625x2

Take the square root of each side:
i = {-0.125x, 0.125x}