6x^3+kx^2-(6-5i)x+(4+2i)=0

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Solution for 6x^3+kx^2-(6-5i)x+(4+2i)=0 equation: 


Simplifying
6x3 + kx2 + -1(6 + -5i) * x + (4 + 2i) = 0

Reorder the terms for easier multiplication:
6x3 + kx2 + -1x(6 + -5i) + (4 + 2i) = 0
6x3 + kx2 + (6 * -1x + -5i * -1x) + (4 + 2i) = 0

Reorder the terms:
6x3 + kx2 + (5ix + -6x) + (4 + 2i) = 0
6x3 + kx2 + (5ix + -6x) + (4 + 2i) = 0

Remove parenthesis around (4 + 2i)
6x3 + kx2 + 5ix + -6x + 4 + 2i = 0

Reorder the terms:
4 + 2i + 5ix + kx2 + -6x + 6x3 = 0

Solving
4 + 2i + 5ix + kx2 + -6x + 6x3 = 0

Solving for variable 'i'.

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

Add '-4' to each side of the equation.
4 + 2i + 5ix + kx2 + -6x + -4 + 6x3 = 0 + -4

Reorder the terms:
4 + -4 + 2i + 5ix + kx2 + -6x + 6x3 = 0 + -4

Combine like terms: 4 + -4 = 0
0 + 2i + 5ix + kx2 + -6x + 6x3 = 0 + -4
2i + 5ix + kx2 + -6x + 6x3 = 0 + -4

Combine like terms: 0 + -4 = -4
2i + 5ix + kx2 + -6x + 6x3 = -4

Add '-1kx2' to each side of the equation.
2i + 5ix + kx2 + -6x + -1kx2 + 6x3 = -4 + -1kx2

Reorder the terms:
2i + 5ix + kx2 + -1kx2 + -6x + 6x3 = -4 + -1kx2

Combine like terms: kx2 + -1kx2 = 0
2i + 5ix + 0 + -6x + 6x3 = -4 + -1kx2
2i + 5ix + -6x + 6x3 = -4 + -1kx2

Add '6x' to each side of the equation.
2i + 5ix + -6x + 6x + 6x3 = -4 + -1kx2 + 6x

Combine like terms: -6x + 6x = 0
2i + 5ix + 0 + 6x3 = -4 + -1kx2 + 6x
2i + 5ix + 6x3 = -4 + -1kx2 + 6x

Add '-6x3' to each side of the equation.
2i + 5ix + 6x3 + -6x3 = -4 + -1kx2 + 6x + -6x3

Combine like terms: 6x3 + -6x3 = 0
2i + 5ix + 0 = -4 + -1kx2 + 6x + -6x3
2i + 5ix = -4 + -1kx2 + 6x + -6x3

Reorder the terms:
4 + 2i + 5ix + kx2 + -6x + 6x3 = -4 + -1kx2 + 6x + -6x3 + 4 + kx2 + -6x + 6x3

Reorder the terms:
4 + 2i + 5ix + kx2 + -6x + 6x3 = -4 + 4 + -1kx2 + kx2 + 6x + -6x + -6x3 + 6x3

Combine like terms: -4 + 4 = 0
4 + 2i + 5ix + kx2 + -6x + 6x3 = 0 + -1kx2 + kx2 + 6x + -6x + -6x3 + 6x3
4 + 2i + 5ix + kx2 + -6x + 6x3 = -1kx2 + kx2 + 6x + -6x + -6x3 + 6x3

Combine like terms: -1kx2 + kx2 = 0
4 + 2i + 5ix + kx2 + -6x + 6x3 = 0 + 6x + -6x + -6x3 + 6x3
4 + 2i + 5ix + kx2 + -6x + 6x3 = 6x + -6x + -6x3 + 6x3

Combine like terms: 6x + -6x = 0
4 + 2i + 5ix + kx2 + -6x + 6x3 = 0 + -6x3 + 6x3
4 + 2i + 5ix + kx2 + -6x + 6x3 = -6x3 + 6x3

Combine like terms: -6x3 + 6x3 = 0
4 + 2i + 5ix + kx2 + -6x + 6x3 = 0

The solution to this equation could not be determined.

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