x^4-3ix^3-4x^2+5i-1=0

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Solution for x^4-3ix^3-4x^2+5i-1=0 equation:


Simplifying
x4 + -3ix3 + -4x2 + 5i + -1 = 0

Reorder the terms:
-1 + 5i + -3ix3 + -4x2 + x4 = 0

Solving
-1 + 5i + -3ix3 + -4x2 + x4 = 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 + 5i + -3ix3 + -4x2 + 1 + x4 = 0 + 1

Reorder the terms:
-1 + 1 + 5i + -3ix3 + -4x2 + x4 = 0 + 1

Combine like terms: -1 + 1 = 0
0 + 5i + -3ix3 + -4x2 + x4 = 0 + 1
5i + -3ix3 + -4x2 + x4 = 0 + 1

Combine like terms: 0 + 1 = 1
5i + -3ix3 + -4x2 + x4 = 1

Add '4x2' to each side of the equation.
5i + -3ix3 + -4x2 + 4x2 + x4 = 1 + 4x2

Combine like terms: -4x2 + 4x2 = 0
5i + -3ix3 + 0 + x4 = 1 + 4x2
5i + -3ix3 + x4 = 1 + 4x2

Add '-1x4' to each side of the equation.
5i + -3ix3 + x4 + -1x4 = 1 + 4x2 + -1x4

Combine like terms: x4 + -1x4 = 0
5i + -3ix3 + 0 = 1 + 4x2 + -1x4
5i + -3ix3 = 1 + 4x2 + -1x4

Reorder the terms:
-1 + 5i + -3ix3 + -4x2 + x4 = 1 + 4x2 + -1x4 + -1 + -4x2 + x4

Reorder the terms:
-1 + 5i + -3ix3 + -4x2 + x4 = 1 + -1 + 4x2 + -4x2 + -1x4 + x4

Combine like terms: 1 + -1 = 0
-1 + 5i + -3ix3 + -4x2 + x4 = 0 + 4x2 + -4x2 + -1x4 + x4
-1 + 5i + -3ix3 + -4x2 + x4 = 4x2 + -4x2 + -1x4 + x4

Combine like terms: 4x2 + -4x2 = 0
-1 + 5i + -3ix3 + -4x2 + x4 = 0 + -1x4 + x4
-1 + 5i + -3ix3 + -4x2 + x4 = -1x4 + x4

Combine like terms: -1x4 + x4 = 0
-1 + 5i + -3ix3 + -4x2 + x4 = 0

The solution to this equation could not be determined.

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