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

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


Simplifying
x3 + -3ix2 + -3x + -1i = 0

Reorder the terms:
-1i + -3ix2 + -3x + x3 = 0

Solving
-1i + -3ix2 + -3x + x3 = 0

Solving for variable 'i'.

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

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

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

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

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

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

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

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

The solution to this equation could not be determined.

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