(-x-2i)(x-2i)=0

Solution for (-x-2i)(x-2i)=0 equation:

Simplifying
(-1x + -2i)(x + -2i) = 0

Reorder the terms:
(-2i + -1x)(x + -2i) = 0

Reorder the terms:
(-2i + -1x)(-2i + x) = 0

Multiply (-2i + -1x) * (-2i + x)
(-2i * (-2i + x) + -1x * (-2i + x)) = 0
((-2i * -2i + x * -2i) + -1x * (-2i + x)) = 0

Reorder the terms:
((-2ix + 4i2) + -1x * (-2i + x)) = 0
((-2ix + 4i2) + -1x * (-2i + x)) = 0
(-2ix + 4i2 + (-2i * -1x + x * -1x)) = 0
(-2ix + 4i2 + (2ix + -1x2)) = 0

Reorder the terms:
(-2ix + 2ix + 4i2 + -1x2) = 0

Combine like terms: -2ix + 2ix = 0
(0 + 4i2 + -1x2) = 0
(4i2 + -1x2) = 0

Solving
4i2 + -1x2 = 0

Solving for variable 'i'.

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

Add 'x2' to each side of the equation.
4i2 + -1x2 + x2 = 0 + x2

Combine like terms: -1x2 + x2 = 0
4i2 + 0 = 0 + x2
4i2 = 0 + x2
Remove the zero:
4i2 = x2

Divide each side by '4'.
i2 = 0.25x2

Simplifying
i2 = 0.25x2

Take the square root of each side:
i = {-0.5x, 0.5x}