x^3+3x^2iy-3xy^2-3iy^3=-1

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Solution for x^3+3x^2iy-3xy^2-3iy^3=-1 equation:


Simplifying
x3 + 3x2iy + -3xy2 + -3iy3 = -1

Reorder the terms:
3ix2y + -3iy3 + -3xy2 + x3 = -1

Solving
3ix2y + -3iy3 + -3xy2 + x3 = -1

Solving for variable 'i'.

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

Add '3xy2' to each side of the equation.
3ix2y + -3iy3 + -3xy2 + 3xy2 + x3 = -1 + 3xy2

Combine like terms: -3xy2 + 3xy2 = 0
3ix2y + -3iy3 + 0 + x3 = -1 + 3xy2
3ix2y + -3iy3 + x3 = -1 + 3xy2

Add '-1x3' to each side of the equation.
3ix2y + -3iy3 + x3 + -1x3 = -1 + 3xy2 + -1x3

Combine like terms: x3 + -1x3 = 0
3ix2y + -3iy3 + 0 = -1 + 3xy2 + -1x3
3ix2y + -3iy3 = -1 + 3xy2 + -1x3

Reorder the terms:
1 + 3ix2y + -3iy3 + -3xy2 + x3 = -1 + 3xy2 + -1x3 + 1 + -3xy2 + x3

Reorder the terms:
1 + 3ix2y + -3iy3 + -3xy2 + x3 = -1 + 1 + 3xy2 + -3xy2 + -1x3 + x3

Combine like terms: -1 + 1 = 0
1 + 3ix2y + -3iy3 + -3xy2 + x3 = 0 + 3xy2 + -3xy2 + -1x3 + x3
1 + 3ix2y + -3iy3 + -3xy2 + x3 = 3xy2 + -3xy2 + -1x3 + x3

Combine like terms: 3xy2 + -3xy2 = 0
1 + 3ix2y + -3iy3 + -3xy2 + x3 = 0 + -1x3 + x3
1 + 3ix2y + -3iy3 + -3xy2 + x3 = -1x3 + x3

Combine like terms: -1x3 + x3 = 0
1 + 3ix2y + -3iy3 + -3xy2 + x3 = 0

The solution to this equation could not be determined.

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