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

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


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

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

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

Remove parenthesis around (2 + 4i)
x2 + -2ix + -4x + 2 + 4i = 0

Reorder the terms:
2 + 4i + -2ix + -4x + x2 = 0

Solving
2 + 4i + -2ix + -4x + x2 = 0

Solving for variable 'i'.

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

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

Reorder the terms:
2 + -2 + 4i + -2ix + -4x + x2 = 0 + -2

Combine like terms: 2 + -2 = 0
0 + 4i + -2ix + -4x + x2 = 0 + -2
4i + -2ix + -4x + x2 = 0 + -2

Combine like terms: 0 + -2 = -2
4i + -2ix + -4x + x2 = -2

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

Combine like terms: -4x + 4x = 0
4i + -2ix + 0 + x2 = -2 + 4x
4i + -2ix + x2 = -2 + 4x

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

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

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

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

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

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

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

The solution to this equation could not be determined.

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