x^2-(4-2i)x+(11+2i)=0

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Solution for x^2-(4-2i)x+(11+2i)=0 equation: 


Simplifying
x2 + -1(4 + -2i) * x + (11 + 2i) = 0

Reorder the terms for easier multiplication:
x2 + -1x(4 + -2i) + (11 + 2i) = 0
x2 + (4 * -1x + -2i * -1x) + (11 + 2i) = 0

Reorder the terms:
x2 + (2ix + -4x) + (11 + 2i) = 0
x2 + (2ix + -4x) + (11 + 2i) = 0

Remove parenthesis around (11 + 2i)
x2 + 2ix + -4x + 11 + 2i = 0

Reorder the terms:
11 + 2i + 2ix + -4x + x2 = 0

Solving
11 + 2i + 2ix + -4x + x2 = 0

Solving for variable 'i'.

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

Add '-11' to each side of the equation.
11 + 2i + 2ix + -4x + -11 + x2 = 0 + -11

Reorder the terms:
11 + -11 + 2i + 2ix + -4x + x2 = 0 + -11

Combine like terms: 11 + -11 = 0
0 + 2i + 2ix + -4x + x2 = 0 + -11
2i + 2ix + -4x + x2 = 0 + -11

Combine like terms: 0 + -11 = -11
2i + 2ix + -4x + x2 = -11

Add '4x' to each side of the equation.
2i + 2ix + -4x + 4x + x2 = -11 + 4x

Combine like terms: -4x + 4x = 0
2i + 2ix + 0 + x2 = -11 + 4x
2i + 2ix + x2 = -11 + 4x

Add '-1x2' to each side of the equation.
2i + 2ix + x2 + -1x2 = -11 + 4x + -1x2

Combine like terms: x2 + -1x2 = 0
2i + 2ix + 0 = -11 + 4x + -1x2
2i + 2ix = -11 + 4x + -1x2

Reorder the terms:
11 + 2i + 2ix + -4x + x2 = -11 + 4x + -1x2 + 11 + -4x + x2

Reorder the terms:
11 + 2i + 2ix + -4x + x2 = -11 + 11 + 4x + -4x + -1x2 + x2

Combine like terms: -11 + 11 = 0
11 + 2i + 2ix + -4x + x2 = 0 + 4x + -4x + -1x2 + x2
11 + 2i + 2ix + -4x + x2 = 4x + -4x + -1x2 + x2

Combine like terms: 4x + -4x = 0
11 + 2i + 2ix + -4x + x2 = 0 + -1x2 + x2
11 + 2i + 2ix + -4x + x2 = -1x2 + x2

Combine like terms: -1x2 + x2 = 0
11 + 2i + 2ix + -4x + x2 = 0

The solution to this equation could not be determined.

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