x^3+3ix^2+x+3i=0

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Solution for x^3+3ix^2+x+3i=0 equation:


Simplifying
x3 + 3ix2 + x + 3i = 0

Reorder the terms:
3i + 3ix2 + x + x3 = 0

Solving
3i + 3ix2 + x + x3 = 0

Solving for variable 'i'.

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

Add '-1x' to each side of the equation.
3i + 3ix2 + x + -1x + x3 = 0 + -1x

Combine like terms: x + -1x = 0
3i + 3ix2 + 0 + x3 = 0 + -1x
3i + 3ix2 + x3 = 0 + -1x
Remove the zero:
3i + 3ix2 + x3 = -1x

Add '-1x3' to each side of the equation.
3i + 3ix2 + x3 + -1x3 = -1x + -1x3

Combine like terms: x3 + -1x3 = 0
3i + 3ix2 + 0 = -1x + -1x3
3i + 3ix2 = -1x + -1x3

Reorder the terms:
3i + 3ix2 + x + x3 = -1x + x + -1x3 + x3

Combine like terms: -1x + x = 0
3i + 3ix2 + x + x3 = 0 + -1x3 + x3
3i + 3ix2 + x + x3 = -1x3 + x3

Combine like terms: -1x3 + x3 = 0
3i + 3ix2 + x + x3 = 0

The solution to this equation could not be determined.

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