(x+2)(x+2)(x+3i)(x+3i)=0

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Solution for (x+2)(x+2)(x+3i)(x+3i)=0 equation: 


Simplifying
(x + 2)(x + 2)(x + 3i)(x + 3i) = 0

Reorder the terms:
(2 + x)(x + 2)(x + 3i)(x + 3i) = 0

Reorder the terms:
(2 + x)(2 + x)(x + 3i)(x + 3i) = 0

Reorder the terms:
(2 + x)(2 + x)(3i + x)(x + 3i) = 0

Reorder the terms:
(2 + x)(2 + x)(3i + x)(3i + x) = 0

Multiply (2 + x) * (2 + x)
(2(2 + x) + x(2 + x))(3i + x)(3i + x) = 0
((2 * 2 + x * 2) + x(2 + x))(3i + x)(3i + x) = 0
((4 + 2x) + x(2 + x))(3i + x)(3i + x) = 0
(4 + 2x + (2 * x + x * x))(3i + x)(3i + x) = 0
(4 + 2x + (2x + x2))(3i + x)(3i + x) = 0

Combine like terms: 2x + 2x = 4x
(4 + 4x + x2)(3i + x)(3i + x) = 0

Multiply (4 + 4x + x2) * (3i + x)
(4(3i + x) + 4x * (3i + x) + x2(3i + x))(3i + x) = 0
((3i * 4 + x * 4) + 4x * (3i + x) + x2(3i + x))(3i + x) = 0
((12i + 4x) + 4x * (3i + x) + x2(3i + x))(3i + x) = 0
(12i + 4x + (3i * 4x + x * 4x) + x2(3i + x))(3i + x) = 0
(12i + 4x + (12ix + 4x2) + x2(3i + x))(3i + x) = 0
(12i + 4x + 12ix + 4x2 + (3i * x2 + x * x2))(3i + x) = 0
(12i + 4x + 12ix + 4x2 + (3ix2 + x3))(3i + x) = 0

Reorder the terms:
(12i + 12ix + 3ix2 + 4x + 4x2 + x3)(3i + x) = 0
(12i + 12ix + 3ix2 + 4x + 4x2 + x3)(3i + x) = 0

Multiply (12i + 12ix + 3ix2 + 4x + 4x2 + x3) * (3i + x)
(12i * (3i + x) + 12ix * (3i + x) + 3ix2 * (3i + x) + 4x * (3i + x) + 4x2 * (3i + x) + x3(3i + x)) = 0
((3i * 12i + x * 12i) + 12ix * (3i + x) + 3ix2 * (3i + x) + 4x * (3i + x) + 4x2 * (3i + x) + x3(3i + x)) = 0

Reorder the terms:
((12ix + 36i2) + 12ix * (3i + x) + 3ix2 * (3i + x) + 4x * (3i + x) + 4x2 * (3i + x) + x3(3i + x)) = 0
((12ix + 36i2) + 12ix * (3i + x) + 3ix2 * (3i + x) + 4x * (3i + x) + 4x2 * (3i + x) + x3(3i + x)) = 0
(12ix + 36i2 + (3i * 12ix + x * 12ix) + 3ix2 * (3i + x) + 4x * (3i + x) + 4x2 * (3i + x) + x3(3i + x)) = 0

Reorder the terms:
(12ix + 36i2 + (12ix2 + 36i2x) + 3ix2 * (3i + x) + 4x * (3i + x) + 4x2 * (3i + x) + x3(3i + x)) = 0
(12ix + 36i2 + (12ix2 + 36i2x) + 3ix2 * (3i + x) + 4x * (3i + x) + 4x2 * (3i + x) + x3(3i + x)) = 0
(12ix + 36i2 + 12ix2 + 36i2x + (3i * 3ix2 + x * 3ix2) + 4x * (3i + x) + 4x2 * (3i + x) + x3(3i + x)) = 0

Reorder the terms:
(12ix + 36i2 + 12ix2 + 36i2x + (3ix3 + 9i2x2) + 4x * (3i + x) + 4x2 * (3i + x) + x3(3i + x)) = 0
(12ix + 36i2 + 12ix2 + 36i2x + (3ix3 + 9i2x2) + 4x * (3i + x) + 4x2 * (3i + x) + x3(3i + x)) = 0
(12ix + 36i2 + 12ix2 + 36i2x + 3ix3 + 9i2x2 + (3i * 4x + x * 4x) + 4x2 * (3i + x) + x3(3i + x)) = 0
(12ix + 36i2 + 12ix2 + 36i2x + 3ix3 + 9i2x2 + (12ix + 4x2) + 4x2 * (3i + x) + x3(3i + x)) = 0
(12ix + 36i2 + 12ix2 + 36i2x + 3ix3 + 9i2x2 + 12ix + 4x2 + (3i * 4x2 + x * 4x2) + x3(3i + x)) = 0
(12ix + 36i2 + 12ix2 + 36i2x + 3ix3 + 9i2x2 + 12ix + 4x2 + (12ix2 + 4x3) + x3(3i + x)) = 0
(12ix + 36i2 + 12ix2 + 36i2x + 3ix3 + 9i2x2 + 12ix + 4x2 + 12ix2 + 4x3 + (3i * x3 + x * x3)) = 0
(12ix + 36i2 + 12ix2 + 36i2x + 3ix3 + 9i2x2 + 12ix + 4x2 + 12ix2 + 4x3 + (3ix3 + x4)) = 0

Reorder the terms:
(12ix + 12ix + 12ix2 + 12ix2 + 3ix3 + 3ix3 + 36i2 + 36i2x + 9i2x2 + 4x2 + 4x3 + x4) = 0

Combine like terms: 12ix + 12ix = 24ix
(24ix + 12ix2 + 12ix2 + 3ix3 + 3ix3 + 36i2 + 36i2x + 9i2x2 + 4x2 + 4x3 + x4) = 0

Combine like terms: 12ix2 + 12ix2 = 24ix2
(24ix + 24ix2 + 3ix3 + 3ix3 + 36i2 + 36i2x + 9i2x2 + 4x2 + 4x3 + x4) = 0

Combine like terms: 3ix3 + 3ix3 = 6ix3
(24ix + 24ix2 + 6ix3 + 36i2 + 36i2x + 9i2x2 + 4x2 + 4x3 + x4) = 0

Solving
24ix + 24ix2 + 6ix3 + 36i2 + 36i2x + 9i2x2 + 4x2 + 4x3 + x4 = 0

Solving for variable 'i'.

The solution to this equation could not be determined.

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