x^2-2ix+3=0

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Solution for x^2-2ix+3=0 equation:


Simplifying
x2 + -2ix + 3 = 0

Reorder the terms:
3 + -2ix + x2 = 0

Solving
3 + -2ix + x2 = 0

Solving for variable 'i'.

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

Add '-3' to each side of the equation.
3 + -2ix + -3 + x2 = 0 + -3

Reorder the terms:
3 + -3 + -2ix + x2 = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -2ix + x2 = 0 + -3
-2ix + x2 = 0 + -3

Combine like terms: 0 + -3 = -3
-2ix + x2 = -3

Add '-1x2' to each side of the equation.
-2ix + x2 + -1x2 = -3 + -1x2

Combine like terms: x2 + -1x2 = 0
-2ix + 0 = -3 + -1x2
-2ix = -3 + -1x2

Divide each side by '-2x'.
i = 1.5x-1 + 0.5x

Simplifying
i = 1.5x-1 + 0.5x

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