x^3+(2-i)x^2+(-4-3i)x+(1+i)=0

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Solution for x^3+(2-i)x^2+(-4-3i)x+(1+i)=0 equation: 


Simplifying
x3 + (2 + -1i) * x2 + (-4 + -3i) * x + (1 + i) = 0

Reorder the terms for easier multiplication:
x3 + x2(2 + -1i) + (-4 + -3i) * x + (1 + i) = 0
x3 + (2 * x2 + -1i * x2) + (-4 + -3i) * x + (1 + i) = 0

Reorder the terms:
x3 + (-1ix2 + 2x2) + (-4 + -3i) * x + (1 + i) = 0
x3 + (-1ix2 + 2x2) + (-4 + -3i) * x + (1 + i) = 0

Reorder the terms for easier multiplication:
x3 + -1ix2 + 2x2 + x(-4 + -3i) + (1 + i) = 0
x3 + -1ix2 + 2x2 + (-4 * x + -3i * x) + (1 + i) = 0

Reorder the terms:
x3 + -1ix2 + 2x2 + (-3ix + -4x) + (1 + i) = 0
x3 + -1ix2 + 2x2 + (-3ix + -4x) + (1 + i) = 0

Remove parenthesis around (1 + i)
x3 + -1ix2 + 2x2 + -3ix + -4x + 1 + i = 0

Reorder the terms:
1 + i + -3ix + -1ix2 + -4x + 2x2 + x3 = 0

Solving
1 + i + -3ix + -1ix2 + -4x + 2x2 + x3 = 0

Solving for variable 'i'.

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

Add '-1' to each side of the equation.
1 + i + -3ix + -1ix2 + -4x + 2x2 + -1 + x3 = 0 + -1

Reorder the terms:
1 + -1 + i + -3ix + -1ix2 + -4x + 2x2 + x3 = 0 + -1

Combine like terms: 1 + -1 = 0
0 + i + -3ix + -1ix2 + -4x + 2x2 + x3 = 0 + -1
i + -3ix + -1ix2 + -4x + 2x2 + x3 = 0 + -1

Combine like terms: 0 + -1 = -1
i + -3ix + -1ix2 + -4x + 2x2 + x3 = -1

Add '4x' to each side of the equation.
i + -3ix + -1ix2 + -4x + 2x2 + 4x + x3 = -1 + 4x

Reorder the terms:
i + -3ix + -1ix2 + -4x + 4x + 2x2 + x3 = -1 + 4x

Combine like terms: -4x + 4x = 0
i + -3ix + -1ix2 + 0 + 2x2 + x3 = -1 + 4x
i + -3ix + -1ix2 + 2x2 + x3 = -1 + 4x

Add '-2x2' to each side of the equation.
i + -3ix + -1ix2 + 2x2 + -2x2 + x3 = -1 + 4x + -2x2

Combine like terms: 2x2 + -2x2 = 0
i + -3ix + -1ix2 + 0 + x3 = -1 + 4x + -2x2
i + -3ix + -1ix2 + x3 = -1 + 4x + -2x2

Add '-1x3' to each side of the equation.
i + -3ix + -1ix2 + x3 + -1x3 = -1 + 4x + -2x2 + -1x3

Combine like terms: x3 + -1x3 = 0
i + -3ix + -1ix2 + 0 = -1 + 4x + -2x2 + -1x3
i + -3ix + -1ix2 = -1 + 4x + -2x2 + -1x3

Reorder the terms:
1 + i + -3ix + -1ix2 + -4x + 2x2 + x3 = -1 + 4x + -2x2 + -1x3 + 1 + -4x + 2x2 + x3

Reorder the terms:
1 + i + -3ix + -1ix2 + -4x + 2x2 + x3 = -1 + 1 + 4x + -4x + -2x2 + 2x2 + -1x3 + x3

Combine like terms: -1 + 1 = 0
1 + i + -3ix + -1ix2 + -4x + 2x2 + x3 = 0 + 4x + -4x + -2x2 + 2x2 + -1x3 + x3
1 + i + -3ix + -1ix2 + -4x + 2x2 + x3 = 4x + -4x + -2x2 + 2x2 + -1x3 + x3

Combine like terms: 4x + -4x = 0
1 + i + -3ix + -1ix2 + -4x + 2x2 + x3 = 0 + -2x2 + 2x2 + -1x3 + x3
1 + i + -3ix + -1ix2 + -4x + 2x2 + x3 = -2x2 + 2x2 + -1x3 + x3

Combine like terms: -2x2 + 2x2 = 0
1 + i + -3ix + -1ix2 + -4x + 2x2 + x3 = 0 + -1x3 + x3
1 + i + -3ix + -1ix2 + -4x + 2x2 + x3 = -1x3 + x3

Combine like terms: -1x3 + x3 = 0
1 + i + -3ix + -1ix2 + -4x + 2x2 + x3 = 0

The solution to this equation could not be determined.

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