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

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


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

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

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

Multiply (3 + -2i + x) * (3 + 2i + x)
(3(3 + 2i + x) + -2i * (3 + 2i + x) + x(3 + 2i + x)) = 0
((3 * 3 + 2i * 3 + x * 3) + -2i * (3 + 2i + x) + x(3 + 2i + x)) = 0
((9 + 6i + 3x) + -2i * (3 + 2i + x) + x(3 + 2i + x)) = 0
(9 + 6i + 3x + (3 * -2i + 2i * -2i + x * -2i) + x(3 + 2i + x)) = 0

Reorder the terms:
(9 + 6i + 3x + (-6i + -2ix + -4i2) + x(3 + 2i + x)) = 0
(9 + 6i + 3x + (-6i + -2ix + -4i2) + x(3 + 2i + x)) = 0
(9 + 6i + 3x + -6i + -2ix + -4i2 + (3 * x + 2i * x + x * x)) = 0

Reorder the terms:
(9 + 6i + 3x + -6i + -2ix + -4i2 + (2ix + 3x + x2)) = 0
(9 + 6i + 3x + -6i + -2ix + -4i2 + (2ix + 3x + x2)) = 0

Reorder the terms:
(9 + 6i + -6i + -2ix + 2ix + -4i2 + 3x + 3x + x2) = 0

Combine like terms: 6i + -6i = 0
(9 + 0 + -2ix + 2ix + -4i2 + 3x + 3x + x2) = 0
(9 + -2ix + 2ix + -4i2 + 3x + 3x + x2) = 0

Combine like terms: -2ix + 2ix = 0
(9 + 0 + -4i2 + 3x + 3x + x2) = 0
(9 + -4i2 + 3x + 3x + x2) = 0

Combine like terms: 3x + 3x = 6x
(9 + -4i2 + 6x + x2) = 0

Solving
9 + -4i2 + 6x + x2 = 0

Solving for variable 'i'.

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

Add '-9' to each side of the equation.
9 + -4i2 + 6x + -9 + x2 = 0 + -9

Reorder the terms:
9 + -9 + -4i2 + 6x + x2 = 0 + -9

Combine like terms: 9 + -9 = 0
0 + -4i2 + 6x + x2 = 0 + -9
-4i2 + 6x + x2 = 0 + -9

Combine like terms: 0 + -9 = -9
-4i2 + 6x + x2 = -9

Add '-6x' to each side of the equation.
-4i2 + 6x + -6x + x2 = -9 + -6x

Combine like terms: 6x + -6x = 0
-4i2 + 0 + x2 = -9 + -6x
-4i2 + x2 = -9 + -6x

Add '-1x2' to each side of the equation.
-4i2 + x2 + -1x2 = -9 + -6x + -1x2

Combine like terms: x2 + -1x2 = 0
-4i2 + 0 = -9 + -6x + -1x2
-4i2 = -9 + -6x + -1x2

Divide each side by '-4'.
i2 = 2.25 + 1.5x + 0.25x2

Simplifying
i2 = 2.25 + 1.5x + 0.25x2

Reorder the terms:
-2.25 + i2 + -1.5x + -0.25x2 = 2.25 + 1.5x + 0.25x2 + -2.25 + -1.5x + -0.25x2

Reorder the terms:
-2.25 + i2 + -1.5x + -0.25x2 = 2.25 + -2.25 + 1.5x + -1.5x + 0.25x2 + -0.25x2

Combine like terms: 2.25 + -2.25 = 0.00
-2.25 + i2 + -1.5x + -0.25x2 = 0.00 + 1.5x + -1.5x + 0.25x2 + -0.25x2
-2.25 + i2 + -1.5x + -0.25x2 = 1.5x + -1.5x + 0.25x2 + -0.25x2

Combine like terms: 1.5x + -1.5x = 0.0
-2.25 + i2 + -1.5x + -0.25x2 = 0.0 + 0.25x2 + -0.25x2
-2.25 + i2 + -1.5x + -0.25x2 = 0.25x2 + -0.25x2

Combine like terms: 0.25x2 + -0.25x2 = 0.00
-2.25 + i2 + -1.5x + -0.25x2 = 0.00

The solution to this equation could not be determined.

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