(x^2-2x+1)(3+2i)=0

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Solution for (x^2-2x+1)(3+2i)=0 equation: 


Simplifying
(x2 + -2x + 1)(3 + 2i) = 0

Reorder the terms:
(1 + -2x + x2)(3 + 2i) = 0

Multiply (1 + -2x + x2) * (3 + 2i)
(1(3 + 2i) + -2x * (3 + 2i) + x2(3 + 2i)) = 0
((3 * 1 + 2i * 1) + -2x * (3 + 2i) + x2(3 + 2i)) = 0
((3 + 2i) + -2x * (3 + 2i) + x2(3 + 2i)) = 0
(3 + 2i + (3 * -2x + 2i * -2x) + x2(3 + 2i)) = 0

Reorder the terms:
(3 + 2i + (-4ix + -6x) + x2(3 + 2i)) = 0
(3 + 2i + (-4ix + -6x) + x2(3 + 2i)) = 0
(3 + 2i + -4ix + -6x + (3 * x2 + 2i * x2)) = 0

Reorder the terms:
(3 + 2i + -4ix + -6x + (2ix2 + 3x2)) = 0
(3 + 2i + -4ix + -6x + (2ix2 + 3x2)) = 0

Reorder the terms:
(3 + 2i + -4ix + 2ix2 + -6x + 3x2) = 0
(3 + 2i + -4ix + 2ix2 + -6x + 3x2) = 0

Solving
3 + 2i + -4ix + 2ix2 + -6x + 3x2 = 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 + 2i + -4ix + 2ix2 + -6x + -3 + 3x2 = 0 + -3

Reorder the terms:
3 + -3 + 2i + -4ix + 2ix2 + -6x + 3x2 = 0 + -3

Combine like terms: 3 + -3 = 0
0 + 2i + -4ix + 2ix2 + -6x + 3x2 = 0 + -3
2i + -4ix + 2ix2 + -6x + 3x2 = 0 + -3

Combine like terms: 0 + -3 = -3
2i + -4ix + 2ix2 + -6x + 3x2 = -3

Add '6x' to each side of the equation.
2i + -4ix + 2ix2 + -6x + 6x + 3x2 = -3 + 6x

Combine like terms: -6x + 6x = 0
2i + -4ix + 2ix2 + 0 + 3x2 = -3 + 6x
2i + -4ix + 2ix2 + 3x2 = -3 + 6x

Add '-3x2' to each side of the equation.
2i + -4ix + 2ix2 + 3x2 + -3x2 = -3 + 6x + -3x2

Combine like terms: 3x2 + -3x2 = 0
2i + -4ix + 2ix2 + 0 = -3 + 6x + -3x2
2i + -4ix + 2ix2 = -3 + 6x + -3x2

Reorder the terms:
3 + 2i + -4ix + 2ix2 + -6x + 3x2 = -3 + 6x + -3x2 + 3 + -6x + 3x2

Reorder the terms:
3 + 2i + -4ix + 2ix2 + -6x + 3x2 = -3 + 3 + 6x + -6x + -3x2 + 3x2

Combine like terms: -3 + 3 = 0
3 + 2i + -4ix + 2ix2 + -6x + 3x2 = 0 + 6x + -6x + -3x2 + 3x2
3 + 2i + -4ix + 2ix2 + -6x + 3x2 = 6x + -6x + -3x2 + 3x2

Combine like terms: 6x + -6x = 0
3 + 2i + -4ix + 2ix2 + -6x + 3x2 = 0 + -3x2 + 3x2
3 + 2i + -4ix + 2ix2 + -6x + 3x2 = -3x2 + 3x2

Combine like terms: -3x2 + 3x2 = 0
3 + 2i + -4ix + 2ix2 + -6x + 3x2 = 0

The solution to this equation could not be determined.

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