x^2-(11-2i)x+23-11i=0

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Solution for x^2-(11-2i)x+23-11i=0 equation: 


Simplifying
x2 + -1(11 + -2i) * x + 23 + -11i = 0

Reorder the terms for easier multiplication:
x2 + -1x(11 + -2i) + 23 + -11i = 0
x2 + (11 * -1x + -2i * -1x) + 23 + -11i = 0

Reorder the terms:
x2 + (2ix + -11x) + 23 + -11i = 0
x2 + (2ix + -11x) + 23 + -11i = 0

Reorder the terms:
23 + -11i + 2ix + -11x + x2 = 0

Solving
23 + -11i + 2ix + -11x + x2 = 0

Solving for variable 'i'.

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

Add '-23' to each side of the equation.
23 + -11i + 2ix + -11x + -23 + x2 = 0 + -23

Reorder the terms:
23 + -23 + -11i + 2ix + -11x + x2 = 0 + -23

Combine like terms: 23 + -23 = 0
0 + -11i + 2ix + -11x + x2 = 0 + -23
-11i + 2ix + -11x + x2 = 0 + -23

Combine like terms: 0 + -23 = -23
-11i + 2ix + -11x + x2 = -23

Add '11x' to each side of the equation.
-11i + 2ix + -11x + 11x + x2 = -23 + 11x

Combine like terms: -11x + 11x = 0
-11i + 2ix + 0 + x2 = -23 + 11x
-11i + 2ix + x2 = -23 + 11x

Add '-1x2' to each side of the equation.
-11i + 2ix + x2 + -1x2 = -23 + 11x + -1x2

Combine like terms: x2 + -1x2 = 0
-11i + 2ix + 0 = -23 + 11x + -1x2
-11i + 2ix = -23 + 11x + -1x2

Reorder the terms:
23 + -11i + 2ix + -11x + x2 = -23 + 11x + -1x2 + 23 + -11x + x2

Reorder the terms:
23 + -11i + 2ix + -11x + x2 = -23 + 23 + 11x + -11x + -1x2 + x2

Combine like terms: -23 + 23 = 0
23 + -11i + 2ix + -11x + x2 = 0 + 11x + -11x + -1x2 + x2
23 + -11i + 2ix + -11x + x2 = 11x + -11x + -1x2 + x2

Combine like terms: 11x + -11x = 0
23 + -11i + 2ix + -11x + x2 = 0 + -1x2 + x2
23 + -11i + 2ix + -11x + x2 = -1x2 + x2

Combine like terms: -1x2 + x2 = 0
23 + -11i + 2ix + -11x + x2 = 0

The solution to this equation could not be determined.

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