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

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


Simplifying
X2 + -1(2 + i) * x + 2i = 0

Reorder the terms for easier multiplication:
X2 + -1x(2 + i) + 2i = 0
X2 + (2 * -1x + i * -1x) + 2i = 0

Reorder the terms:
X2 + (-1ix + -2x) + 2i = 0
X2 + (-1ix + -2x) + 2i = 0

Reorder the terms:
X2 + 2i + -1ix + -2x = 0

Solving
X2 + 2i + -1ix + -2x = 0

Solving for variable 'X'.

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

Add '-2i' to each side of the equation.
X2 + 2i + -1ix + -2i + -2x = 0 + -2i

Reorder the terms:
X2 + 2i + -2i + -1ix + -2x = 0 + -2i

Combine like terms: 2i + -2i = 0
X2 + 0 + -1ix + -2x = 0 + -2i
X2 + -1ix + -2x = 0 + -2i
Remove the zero:
X2 + -1ix + -2x = -2i

Add 'ix' to each side of the equation.
X2 + -1ix + ix + -2x = -2i + ix

Combine like terms: -1ix + ix = 0
X2 + 0 + -2x = -2i + ix
X2 + -2x = -2i + ix

Add '2x' to each side of the equation.
X2 + -2x + 2x = -2i + ix + 2x

Combine like terms: -2x + 2x = 0
X2 + 0 = -2i + ix + 2x
X2 = -2i + ix + 2x

Simplifying
X2 = -2i + ix + 2x

Reorder the terms:
X2 + 2i + -1ix + -2x = -2i + 2i + ix + -1ix + 2x + -2x

Combine like terms: -2i + 2i = 0
X2 + 2i + -1ix + -2x = 0 + ix + -1ix + 2x + -2x
X2 + 2i + -1ix + -2x = ix + -1ix + 2x + -2x

Combine like terms: ix + -1ix = 0
X2 + 2i + -1ix + -2x = 0 + 2x + -2x
X2 + 2i + -1ix + -2x = 2x + -2x

Combine like terms: 2x + -2x = 0
X2 + 2i + -1ix + -2x = 0

The solution to this equation could not be determined.

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