x^4-3x^3-3ix^3+9ix^2+6x-6ix-4=0

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Solution for x^4-3x^3-3ix^3+9ix^2+6x-6ix-4=0 equation: 


Simplifying
x4 + -3x3 + -3ix3 + 9ix2 + 6x + -6ix + -4 = 0

Reorder the terms:
-4 + -6ix + 9ix2 + -3ix3 + 6x + -3x3 + x4 = 0

Solving
-4 + -6ix + 9ix2 + -3ix3 + 6x + -3x3 + x4 = 0

Solving for variable 'i'.

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

Add '4' to each side of the equation.
-4 + -6ix + 9ix2 + -3ix3 + 6x + -3x3 + 4 + x4 = 0 + 4

Reorder the terms:
-4 + 4 + -6ix + 9ix2 + -3ix3 + 6x + -3x3 + x4 = 0 + 4

Combine like terms: -4 + 4 = 0
0 + -6ix + 9ix2 + -3ix3 + 6x + -3x3 + x4 = 0 + 4
-6ix + 9ix2 + -3ix3 + 6x + -3x3 + x4 = 0 + 4

Combine like terms: 0 + 4 = 4
-6ix + 9ix2 + -3ix3 + 6x + -3x3 + x4 = 4

Add '-6x' to each side of the equation.
-6ix + 9ix2 + -3ix3 + 6x + -3x3 + -6x + x4 = 4 + -6x

Reorder the terms:
-6ix + 9ix2 + -3ix3 + 6x + -6x + -3x3 + x4 = 4 + -6x

Combine like terms: 6x + -6x = 0
-6ix + 9ix2 + -3ix3 + 0 + -3x3 + x4 = 4 + -6x
-6ix + 9ix2 + -3ix3 + -3x3 + x4 = 4 + -6x

Add '3x3' to each side of the equation.
-6ix + 9ix2 + -3ix3 + -3x3 + 3x3 + x4 = 4 + -6x + 3x3

Combine like terms: -3x3 + 3x3 = 0
-6ix + 9ix2 + -3ix3 + 0 + x4 = 4 + -6x + 3x3
-6ix + 9ix2 + -3ix3 + x4 = 4 + -6x + 3x3

Add '-1x4' to each side of the equation.
-6ix + 9ix2 + -3ix3 + x4 + -1x4 = 4 + -6x + 3x3 + -1x4

Combine like terms: x4 + -1x4 = 0
-6ix + 9ix2 + -3ix3 + 0 = 4 + -6x + 3x3 + -1x4
-6ix + 9ix2 + -3ix3 = 4 + -6x + 3x3 + -1x4

Reorder the terms:
-4 + -6ix + 9ix2 + -3ix3 + 6x + -3x3 + x4 = 4 + -6x + 3x3 + -1x4 + -4 + 6x + -3x3 + x4

Reorder the terms:
-4 + -6ix + 9ix2 + -3ix3 + 6x + -3x3 + x4 = 4 + -4 + -6x + 6x + 3x3 + -3x3 + -1x4 + x4

Combine like terms: 4 + -4 = 0
-4 + -6ix + 9ix2 + -3ix3 + 6x + -3x3 + x4 = 0 + -6x + 6x + 3x3 + -3x3 + -1x4 + x4
-4 + -6ix + 9ix2 + -3ix3 + 6x + -3x3 + x4 = -6x + 6x + 3x3 + -3x3 + -1x4 + x4

Combine like terms: -6x + 6x = 0
-4 + -6ix + 9ix2 + -3ix3 + 6x + -3x3 + x4 = 0 + 3x3 + -3x3 + -1x4 + x4
-4 + -6ix + 9ix2 + -3ix3 + 6x + -3x3 + x4 = 3x3 + -3x3 + -1x4 + x4

Combine like terms: 3x3 + -3x3 = 0
-4 + -6ix + 9ix2 + -3ix3 + 6x + -3x3 + x4 = 0 + -1x4 + x4
-4 + -6ix + 9ix2 + -3ix3 + 6x + -3x3 + x4 = -1x4 + x4

Combine like terms: -1x4 + x4 = 0
-4 + -6ix + 9ix2 + -3ix3 + 6x + -3x3 + x4 = 0

The solution to this equation could not be determined.

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