(x-2)(x+6i)(x-6i)=0

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Solution for (x-2)(x+6i)(x-6i)=0 equation: 


Simplifying
(x + -2)(x + 6i)(x + -6i) = 0

Reorder the terms:
(-2 + x)(x + 6i)(x + -6i) = 0

Reorder the terms:
(-2 + x)(6i + x)(x + -6i) = 0

Reorder the terms:
(-2 + x)(6i + x)(-6i + x) = 0

Multiply (-2 + x) * (6i + x)
(-2(6i + x) + x(6i + x))(-6i + x) = 0
((6i * -2 + x * -2) + x(6i + x))(-6i + x) = 0
((-12i + -2x) + x(6i + x))(-6i + x) = 0
(-12i + -2x + (6i * x + x * x))(-6i + x) = 0
(-12i + -2x + (6ix + x2))(-6i + x) = 0

Reorder the terms:
(-12i + 6ix + -2x + x2)(-6i + x) = 0
(-12i + 6ix + -2x + x2)(-6i + x) = 0

Multiply (-12i + 6ix + -2x + x2) * (-6i + x)
(-12i * (-6i + x) + 6ix * (-6i + x) + -2x * (-6i + x) + x2(-6i + x)) = 0
((-6i * -12i + x * -12i) + 6ix * (-6i + x) + -2x * (-6i + x) + x2(-6i + x)) = 0

Reorder the terms:
((-12ix + 72i2) + 6ix * (-6i + x) + -2x * (-6i + x) + x2(-6i + x)) = 0
((-12ix + 72i2) + 6ix * (-6i + x) + -2x * (-6i + x) + x2(-6i + x)) = 0
(-12ix + 72i2 + (-6i * 6ix + x * 6ix) + -2x * (-6i + x) + x2(-6i + x)) = 0

Reorder the terms:
(-12ix + 72i2 + (6ix2 + -36i2x) + -2x * (-6i + x) + x2(-6i + x)) = 0
(-12ix + 72i2 + (6ix2 + -36i2x) + -2x * (-6i + x) + x2(-6i + x)) = 0
(-12ix + 72i2 + 6ix2 + -36i2x + (-6i * -2x + x * -2x) + x2(-6i + x)) = 0
(-12ix + 72i2 + 6ix2 + -36i2x + (12ix + -2x2) + x2(-6i + x)) = 0
(-12ix + 72i2 + 6ix2 + -36i2x + 12ix + -2x2 + (-6i * x2 + x * x2)) = 0
(-12ix + 72i2 + 6ix2 + -36i2x + 12ix + -2x2 + (-6ix2 + x3)) = 0

Reorder the terms:
(-12ix + 12ix + 6ix2 + -6ix2 + 72i2 + -36i2x + -2x2 + x3) = 0

Combine like terms: -12ix + 12ix = 0
(0 + 6ix2 + -6ix2 + 72i2 + -36i2x + -2x2 + x3) = 0
(6ix2 + -6ix2 + 72i2 + -36i2x + -2x2 + x3) = 0

Combine like terms: 6ix2 + -6ix2 = 0
(0 + 72i2 + -36i2x + -2x2 + x3) = 0
(72i2 + -36i2x + -2x2 + x3) = 0

Solving
72i2 + -36i2x + -2x2 + x3 = 0

Solving for variable 'i'.

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

Add '2x2' to each side of the equation.
72i2 + -36i2x + -2x2 + 2x2 + x3 = 0 + 2x2

Combine like terms: -2x2 + 2x2 = 0
72i2 + -36i2x + 0 + x3 = 0 + 2x2
72i2 + -36i2x + x3 = 0 + 2x2
Remove the zero:
72i2 + -36i2x + x3 = 2x2

Add '-1x3' to each side of the equation.
72i2 + -36i2x + x3 + -1x3 = 2x2 + -1x3

Combine like terms: x3 + -1x3 = 0
72i2 + -36i2x + 0 = 2x2 + -1x3
72i2 + -36i2x = 2x2 + -1x3

Reorder the terms:
72i2 + -36i2x + -2x2 + x3 = 2x2 + -2x2 + -1x3 + x3

Combine like terms: 2x2 + -2x2 = 0
72i2 + -36i2x + -2x2 + x3 = 0 + -1x3 + x3
72i2 + -36i2x + -2x2 + x3 = -1x3 + x3

Combine like terms: -1x3 + x3 = 0
72i2 + -36i2x + -2x2 + x3 = 0

The solution to this equation could not be determined.

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