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

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


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

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

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

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

Multiply (2 + X) * (3 + -2i + x)
(2(3 + -2i + x) + X(3 + -2i + x))(3 + X + 2i) = 0
((3 * 2 + -2i * 2 + x * 2) + X(3 + -2i + x))(3 + X + 2i) = 0
((6 + -4i + 2x) + X(3 + -2i + x))(3 + X + 2i) = 0
(6 + -4i + 2x + (3 * X + -2i * X + x * X))(3 + X + 2i) = 0
(6 + -4i + 2x + (3X + -2iX + xX))(3 + X + 2i) = 0

Reorder the terms:
(6 + 3X + -4i + -2iX + 2x + xX)(3 + X + 2i) = 0
(6 + 3X + -4i + -2iX + 2x + xX)(3 + X + 2i) = 0

Multiply (6 + 3X + -4i + -2iX + 2x + xX) * (3 + X + 2i)
(6(3 + X + 2i) + 3X * (3 + X + 2i) + -4i * (3 + X + 2i) + -2iX * (3 + X + 2i) + 2x * (3 + X + 2i) + xX(3 + X + 2i)) = 0
((3 * 6 + X * 6 + 2i * 6) + 3X * (3 + X + 2i) + -4i * (3 + X + 2i) + -2iX * (3 + X + 2i) + 2x * (3 + X + 2i) + xX(3 + X + 2i)) = 0
((18 + 6X + 12i) + 3X * (3 + X + 2i) + -4i * (3 + X + 2i) + -2iX * (3 + X + 2i) + 2x * (3 + X + 2i) + xX(3 + X + 2i)) = 0
(18 + 6X + 12i + (3 * 3X + X * 3X + 2i * 3X) + -4i * (3 + X + 2i) + -2iX * (3 + X + 2i) + 2x * (3 + X + 2i) + xX(3 + X + 2i)) = 0
(18 + 6X + 12i + (9X + 3X2 + 6iX) + -4i * (3 + X + 2i) + -2iX * (3 + X + 2i) + 2x * (3 + X + 2i) + xX(3 + X + 2i)) = 0
(18 + 6X + 12i + 9X + 3X2 + 6iX + (3 * -4i + X * -4i + 2i * -4i) + -2iX * (3 + X + 2i) + 2x * (3 + X + 2i) + xX(3 + X + 2i)) = 0
(18 + 6X + 12i + 9X + 3X2 + 6iX + (-12i + -4iX + -8i2) + -2iX * (3 + X + 2i) + 2x * (3 + X + 2i) + xX(3 + X + 2i)) = 0
(18 + 6X + 12i + 9X + 3X2 + 6iX + -12i + -4iX + -8i2 + (3 * -2iX + X * -2iX + 2i * -2iX) + 2x * (3 + X + 2i) + xX(3 + X + 2i)) = 0
(18 + 6X + 12i + 9X + 3X2 + 6iX + -12i + -4iX + -8i2 + (-6iX + -2iX2 + -4i2X) + 2x * (3 + X + 2i) + xX(3 + X + 2i)) = 0
(18 + 6X + 12i + 9X + 3X2 + 6iX + -12i + -4iX + -8i2 + -6iX + -2iX2 + -4i2X + (3 * 2x + X * 2x + 2i * 2x) + xX(3 + X + 2i)) = 0

Reorder the terms:
(18 + 6X + 12i + 9X + 3X2 + 6iX + -12i + -4iX + -8i2 + -6iX + -2iX2 + -4i2X + (4ix + 6x + 2xX) + xX(3 + X + 2i)) = 0
(18 + 6X + 12i + 9X + 3X2 + 6iX + -12i + -4iX + -8i2 + -6iX + -2iX2 + -4i2X + (4ix + 6x + 2xX) + xX(3 + X + 2i)) = 0
(18 + 6X + 12i + 9X + 3X2 + 6iX + -12i + -4iX + -8i2 + -6iX + -2iX2 + -4i2X + 4ix + 6x + 2xX + (3 * xX + X * xX + 2i * xX)) = 0

Reorder the terms:
(18 + 6X + 12i + 9X + 3X2 + 6iX + -12i + -4iX + -8i2 + -6iX + -2iX2 + -4i2X + 4ix + 6x + 2xX + (2ixX + 3xX + xX2)) = 0
(18 + 6X + 12i + 9X + 3X2 + 6iX + -12i + -4iX + -8i2 + -6iX + -2iX2 + -4i2X + 4ix + 6x + 2xX + (2ixX + 3xX + xX2)) = 0

Reorder the terms:
(18 + 6X + 9X + 3X2 + 12i + -12i + 6iX + -4iX + -6iX + -2iX2 + 4ix + 2ixX + -8i2 + -4i2X + 6x + 2xX + 3xX + xX2) = 0

Combine like terms: 6X + 9X = 15X
(18 + 15X + 3X2 + 12i + -12i + 6iX + -4iX + -6iX + -2iX2 + 4ix + 2ixX + -8i2 + -4i2X + 6x + 2xX + 3xX + xX2) = 0

Combine like terms: 12i + -12i = 0
(18 + 15X + 3X2 + 0 + 6iX + -4iX + -6iX + -2iX2 + 4ix + 2ixX + -8i2 + -4i2X + 6x + 2xX + 3xX + xX2) = 0
(18 + 15X + 3X2 + 6iX + -4iX + -6iX + -2iX2 + 4ix + 2ixX + -8i2 + -4i2X + 6x + 2xX + 3xX + xX2) = 0

Combine like terms: 6iX + -4iX = 2iX
(18 + 15X + 3X2 + 2iX + -6iX + -2iX2 + 4ix + 2ixX + -8i2 + -4i2X + 6x + 2xX + 3xX + xX2) = 0

Combine like terms: 2iX + -6iX = -4iX
(18 + 15X + 3X2 + -4iX + -2iX2 + 4ix + 2ixX + -8i2 + -4i2X + 6x + 2xX + 3xX + xX2) = 0

Combine like terms: 2xX + 3xX = 5xX
(18 + 15X + 3X2 + -4iX + -2iX2 + 4ix + 2ixX + -8i2 + -4i2X + 6x + 5xX + xX2) = 0

Solving
18 + 15X + 3X2 + -4iX + -2iX2 + 4ix + 2ixX + -8i2 + -4i2X + 6x + 5xX + xX2 = 0

Solving for variable 'X'.

The solution to this equation could not be determined.

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