(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}