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

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


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

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

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

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

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

Multiply (-2 + x) * (-2 + x)
(-2(-2 + x) + x(-2 + x))(6i + x)(-6i + x) = 0
((-2 * -2 + x * -2) + x(-2 + x))(6i + x)(-6i + x) = 0
((4 + -2x) + x(-2 + x))(6i + x)(-6i + x) = 0
(4 + -2x + (-2 * x + x * x))(6i + x)(-6i + x) = 0
(4 + -2x + (-2x + x2))(6i + x)(-6i + x) = 0

Combine like terms: -2x + -2x = -4x
(4 + -4x + x2)(6i + x)(-6i + x) = 0

Multiply (4 + -4x + x2) * (6i + x)
(4(6i + x) + -4x * (6i + x) + x2(6i + x))(-6i + x) = 0
((6i * 4 + x * 4) + -4x * (6i + x) + x2(6i + x))(-6i + x) = 0
((24i + 4x) + -4x * (6i + x) + x2(6i + x))(-6i + x) = 0
(24i + 4x + (6i * -4x + x * -4x) + x2(6i + x))(-6i + x) = 0
(24i + 4x + (-24ix + -4x2) + x2(6i + x))(-6i + x) = 0
(24i + 4x + -24ix + -4x2 + (6i * x2 + x * x2))(-6i + x) = 0
(24i + 4x + -24ix + -4x2 + (6ix2 + x3))(-6i + x) = 0

Reorder the terms:
(24i + -24ix + 6ix2 + 4x + -4x2 + x3)(-6i + x) = 0
(24i + -24ix + 6ix2 + 4x + -4x2 + x3)(-6i + x) = 0

Multiply (24i + -24ix + 6ix2 + 4x + -4x2 + x3) * (-6i + x)
(24i * (-6i + x) + -24ix * (-6i + x) + 6ix2 * (-6i + x) + 4x * (-6i + x) + -4x2 * (-6i + x) + x3(-6i + x)) = 0
((-6i * 24i + x * 24i) + -24ix * (-6i + x) + 6ix2 * (-6i + x) + 4x * (-6i + x) + -4x2 * (-6i + x) + x3(-6i + x)) = 0

Reorder the terms:
((24ix + -144i2) + -24ix * (-6i + x) + 6ix2 * (-6i + x) + 4x * (-6i + x) + -4x2 * (-6i + x) + x3(-6i + x)) = 0
((24ix + -144i2) + -24ix * (-6i + x) + 6ix2 * (-6i + x) + 4x * (-6i + x) + -4x2 * (-6i + x) + x3(-6i + x)) = 0
(24ix + -144i2 + (-6i * -24ix + x * -24ix) + 6ix2 * (-6i + x) + 4x * (-6i + x) + -4x2 * (-6i + x) + x3(-6i + x)) = 0

Reorder the terms:
(24ix + -144i2 + (-24ix2 + 144i2x) + 6ix2 * (-6i + x) + 4x * (-6i + x) + -4x2 * (-6i + x) + x3(-6i + x)) = 0
(24ix + -144i2 + (-24ix2 + 144i2x) + 6ix2 * (-6i + x) + 4x * (-6i + x) + -4x2 * (-6i + x) + x3(-6i + x)) = 0
(24ix + -144i2 + -24ix2 + 144i2x + (-6i * 6ix2 + x * 6ix2) + 4x * (-6i + x) + -4x2 * (-6i + x) + x3(-6i + x)) = 0

Reorder the terms:
(24ix + -144i2 + -24ix2 + 144i2x + (6ix3 + -36i2x2) + 4x * (-6i + x) + -4x2 * (-6i + x) + x3(-6i + x)) = 0
(24ix + -144i2 + -24ix2 + 144i2x + (6ix3 + -36i2x2) + 4x * (-6i + x) + -4x2 * (-6i + x) + x3(-6i + x)) = 0
(24ix + -144i2 + -24ix2 + 144i2x + 6ix3 + -36i2x2 + (-6i * 4x + x * 4x) + -4x2 * (-6i + x) + x3(-6i + x)) = 0
(24ix + -144i2 + -24ix2 + 144i2x + 6ix3 + -36i2x2 + (-24ix + 4x2) + -4x2 * (-6i + x) + x3(-6i + x)) = 0
(24ix + -144i2 + -24ix2 + 144i2x + 6ix3 + -36i2x2 + -24ix + 4x2 + (-6i * -4x2 + x * -4x2) + x3(-6i + x)) = 0
(24ix + -144i2 + -24ix2 + 144i2x + 6ix3 + -36i2x2 + -24ix + 4x2 + (24ix2 + -4x3) + x3(-6i + x)) = 0
(24ix + -144i2 + -24ix2 + 144i2x + 6ix3 + -36i2x2 + -24ix + 4x2 + 24ix2 + -4x3 + (-6i * x3 + x * x3)) = 0
(24ix + -144i2 + -24ix2 + 144i2x + 6ix3 + -36i2x2 + -24ix + 4x2 + 24ix2 + -4x3 + (-6ix3 + x4)) = 0

Reorder the terms:
(24ix + -24ix + -24ix2 + 24ix2 + 6ix3 + -6ix3 + -144i2 + 144i2x + -36i2x2 + 4x2 + -4x3 + x4) = 0

Combine like terms: 24ix + -24ix = 0
(0 + -24ix2 + 24ix2 + 6ix3 + -6ix3 + -144i2 + 144i2x + -36i2x2 + 4x2 + -4x3 + x4) = 0
(-24ix2 + 24ix2 + 6ix3 + -6ix3 + -144i2 + 144i2x + -36i2x2 + 4x2 + -4x3 + x4) = 0

Combine like terms: -24ix2 + 24ix2 = 0
(0 + 6ix3 + -6ix3 + -144i2 + 144i2x + -36i2x2 + 4x2 + -4x3 + x4) = 0
(6ix3 + -6ix3 + -144i2 + 144i2x + -36i2x2 + 4x2 + -4x3 + x4) = 0

Combine like terms: 6ix3 + -6ix3 = 0
(0 + -144i2 + 144i2x + -36i2x2 + 4x2 + -4x3 + x4) = 0
(-144i2 + 144i2x + -36i2x2 + 4x2 + -4x3 + x4) = 0

Solving
-144i2 + 144i2x + -36i2x2 + 4x2 + -4x3 + x4 = 0

Solving for variable 'i'.

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

Add '-4x2' to each side of the equation.
-144i2 + 144i2x + -36i2x2 + 4x2 + -4x3 + -4x2 + x4 = 0 + -4x2

Reorder the terms:
-144i2 + 144i2x + -36i2x2 + 4x2 + -4x2 + -4x3 + x4 = 0 + -4x2

Combine like terms: 4x2 + -4x2 = 0
-144i2 + 144i2x + -36i2x2 + 0 + -4x3 + x4 = 0 + -4x2
-144i2 + 144i2x + -36i2x2 + -4x3 + x4 = 0 + -4x2
Remove the zero:
-144i2 + 144i2x + -36i2x2 + -4x3 + x4 = -4x2

Add '4x3' to each side of the equation.
-144i2 + 144i2x + -36i2x2 + -4x3 + 4x3 + x4 = -4x2 + 4x3

Combine like terms: -4x3 + 4x3 = 0
-144i2 + 144i2x + -36i2x2 + 0 + x4 = -4x2 + 4x3
-144i2 + 144i2x + -36i2x2 + x4 = -4x2 + 4x3

Add '-1x4' to each side of the equation.
-144i2 + 144i2x + -36i2x2 + x4 + -1x4 = -4x2 + 4x3 + -1x4

Combine like terms: x4 + -1x4 = 0
-144i2 + 144i2x + -36i2x2 + 0 = -4x2 + 4x3 + -1x4
-144i2 + 144i2x + -36i2x2 = -4x2 + 4x3 + -1x4

Reorder the terms:
-144i2 + 144i2x + -36i2x2 + 4x2 + -4x3 + x4 = -4x2 + 4x2 + 4x3 + -4x3 + -1x4 + x4

Combine like terms: -4x2 + 4x2 = 0
-144i2 + 144i2x + -36i2x2 + 4x2 + -4x3 + x4 = 0 + 4x3 + -4x3 + -1x4 + x4
-144i2 + 144i2x + -36i2x2 + 4x2 + -4x3 + x4 = 4x3 + -4x3 + -1x4 + x4

Combine like terms: 4x3 + -4x3 = 0
-144i2 + 144i2x + -36i2x2 + 4x2 + -4x3 + x4 = 0 + -1x4 + x4
-144i2 + 144i2x + -36i2x2 + 4x2 + -4x3 + x4 = -1x4 + x4

Combine like terms: -1x4 + x4 = 0
-144i2 + 144i2x + -36i2x2 + 4x2 + -4x3 + x4 = 0

The solution to this equation could not be determined.

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