x^6+(2i-3)x^3+(5-i)=0

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Solution for x^6+(2i-3)x^3+(5-i)=0 equation: 


Simplifying
x6 + (2i + -3) * x3 + (5 + -1i) = 0

Reorder the terms:
x6 + (-3 + 2i) * x3 + (5 + -1i) = 0

Reorder the terms for easier multiplication:
x6 + x3(-3 + 2i) + (5 + -1i) = 0
x6 + (-3 * x3 + 2i * x3) + (5 + -1i) = 0

Reorder the terms:
x6 + (2ix3 + -3x3) + (5 + -1i) = 0
x6 + (2ix3 + -3x3) + (5 + -1i) = 0

Remove parenthesis around (5 + -1i)
x6 + 2ix3 + -3x3 + 5 + -1i = 0

Reorder the terms:
5 + -1i + 2ix3 + -3x3 + x6 = 0

Solving
5 + -1i + 2ix3 + -3x3 + x6 = 0

Solving for variable 'i'.

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

Add '-5' to each side of the equation.
5 + -1i + 2ix3 + -3x3 + -5 + x6 = 0 + -5

Reorder the terms:
5 + -5 + -1i + 2ix3 + -3x3 + x6 = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -1i + 2ix3 + -3x3 + x6 = 0 + -5
-1i + 2ix3 + -3x3 + x6 = 0 + -5

Combine like terms: 0 + -5 = -5
-1i + 2ix3 + -3x3 + x6 = -5

Add '3x3' to each side of the equation.
-1i + 2ix3 + -3x3 + 3x3 + x6 = -5 + 3x3

Combine like terms: -3x3 + 3x3 = 0
-1i + 2ix3 + 0 + x6 = -5 + 3x3
-1i + 2ix3 + x6 = -5 + 3x3

Add '-1x6' to each side of the equation.
-1i + 2ix3 + x6 + -1x6 = -5 + 3x3 + -1x6

Combine like terms: x6 + -1x6 = 0
-1i + 2ix3 + 0 = -5 + 3x3 + -1x6
-1i + 2ix3 = -5 + 3x3 + -1x6

Reorder the terms:
5 + -1i + 2ix3 + -3x3 + x6 = -5 + 3x3 + -1x6 + 5 + -3x3 + x6

Reorder the terms:
5 + -1i + 2ix3 + -3x3 + x6 = -5 + 5 + 3x3 + -3x3 + -1x6 + x6

Combine like terms: -5 + 5 = 0
5 + -1i + 2ix3 + -3x3 + x6 = 0 + 3x3 + -3x3 + -1x6 + x6
5 + -1i + 2ix3 + -3x3 + x6 = 3x3 + -3x3 + -1x6 + x6

Combine like terms: 3x3 + -3x3 = 0
5 + -1i + 2ix3 + -3x3 + x6 = 0 + -1x6 + x6
5 + -1i + 2ix3 + -3x3 + x6 = -1x6 + x6

Combine like terms: -1x6 + x6 = 0
5 + -1i + 2ix3 + -3x3 + x6 = 0

The solution to this equation could not be determined.

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