(x-6i)(x+6i)=0

Solution for (x-6i)(x+6i)=0 equation:

Simplifying
(x + -6i)(x + 6i) = 0

Reorder the terms:
(-6i + x)(x + 6i) = 0

Reorder the terms:
(-6i + x)(6i + x) = 0

Multiply (-6i + x) * (6i + x)
(-6i * (6i + x) + x(6i + x)) = 0
((6i * -6i + x * -6i) + x(6i + x)) = 0

Reorder the terms:
((-6ix + -36i2) + x(6i + x)) = 0
((-6ix + -36i2) + x(6i + x)) = 0
(-6ix + -36i2 + (6i * x + x * x)) = 0
(-6ix + -36i2 + (6ix + x2)) = 0

Reorder the terms:
(-6ix + 6ix + -36i2 + x2) = 0

Combine like terms: -6ix + 6ix = 0
(0 + -36i2 + x2) = 0
(-36i2 + x2) = 0

Solving
-36i2 + 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.
-36i2 + x2 + -1x2 = 0 + -1x2

Combine like terms: x2 + -1x2 = 0
-36i2 + 0 = 0 + -1x2
-36i2 = 0 + -1x2
Remove the zero:
-36i2 = -1x2

Divide each side by '-36'.
i2 = 0.02777777778x2

Simplifying
i2 = 0.02777777778x2

Take the square root of each side:
i = {-0.166666667x, 0.166666667x}