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

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


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

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

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

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

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

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

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

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

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

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

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

Multiply (4 + -9i2 + -4x + x2) * (2 + x)
(4(2 + x) + -9i2 * (2 + x) + -4x * (2 + x) + x2(2 + x)) = 0
((2 * 4 + x * 4) + -9i2 * (2 + x) + -4x * (2 + x) + x2(2 + x)) = 0
((8 + 4x) + -9i2 * (2 + x) + -4x * (2 + x) + x2(2 + x)) = 0
(8 + 4x + (2 * -9i2 + x * -9i2) + -4x * (2 + x) + x2(2 + x)) = 0
(8 + 4x + (-18i2 + -9i2x) + -4x * (2 + x) + x2(2 + x)) = 0
(8 + 4x + -18i2 + -9i2x + (2 * -4x + x * -4x) + x2(2 + x)) = 0
(8 + 4x + -18i2 + -9i2x + (-8x + -4x2) + x2(2 + x)) = 0
(8 + 4x + -18i2 + -9i2x + -8x + -4x2 + (2 * x2 + x * x2)) = 0
(8 + 4x + -18i2 + -9i2x + -8x + -4x2 + (2x2 + x3)) = 0

Reorder the terms:
(8 + -18i2 + -9i2x + 4x + -8x + -4x2 + 2x2 + x3) = 0

Combine like terms: 4x + -8x = -4x
(8 + -18i2 + -9i2x + -4x + -4x2 + 2x2 + x3) = 0

Combine like terms: -4x2 + 2x2 = -2x2
(8 + -18i2 + -9i2x + -4x + -2x2 + x3) = 0

Solving
8 + -18i2 + -9i2x + -4x + -2x2 + x3 = 0

Solving for variable 'i'.

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

Add '-8' to each side of the equation.
8 + -18i2 + -9i2x + -4x + -2x2 + -8 + x3 = 0 + -8

Reorder the terms:
8 + -8 + -18i2 + -9i2x + -4x + -2x2 + x3 = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -18i2 + -9i2x + -4x + -2x2 + x3 = 0 + -8
-18i2 + -9i2x + -4x + -2x2 + x3 = 0 + -8

Combine like terms: 0 + -8 = -8
-18i2 + -9i2x + -4x + -2x2 + x3 = -8

Add '4x' to each side of the equation.
-18i2 + -9i2x + -4x + -2x2 + 4x + x3 = -8 + 4x

Reorder the terms:
-18i2 + -9i2x + -4x + 4x + -2x2 + x3 = -8 + 4x

Combine like terms: -4x + 4x = 0
-18i2 + -9i2x + 0 + -2x2 + x3 = -8 + 4x
-18i2 + -9i2x + -2x2 + x3 = -8 + 4x

Add '2x2' to each side of the equation.
-18i2 + -9i2x + -2x2 + 2x2 + x3 = -8 + 4x + 2x2

Combine like terms: -2x2 + 2x2 = 0
-18i2 + -9i2x + 0 + x3 = -8 + 4x + 2x2
-18i2 + -9i2x + x3 = -8 + 4x + 2x2

Add '-1x3' to each side of the equation.
-18i2 + -9i2x + x3 + -1x3 = -8 + 4x + 2x2 + -1x3

Combine like terms: x3 + -1x3 = 0
-18i2 + -9i2x + 0 = -8 + 4x + 2x2 + -1x3
-18i2 + -9i2x = -8 + 4x + 2x2 + -1x3

Reorder the terms:
8 + -18i2 + -9i2x + -4x + -2x2 + x3 = -8 + 4x + 2x2 + -1x3 + 8 + -4x + -2x2 + x3

Reorder the terms:
8 + -18i2 + -9i2x + -4x + -2x2 + x3 = -8 + 8 + 4x + -4x + 2x2 + -2x2 + -1x3 + x3

Combine like terms: -8 + 8 = 0
8 + -18i2 + -9i2x + -4x + -2x2 + x3 = 0 + 4x + -4x + 2x2 + -2x2 + -1x3 + x3
8 + -18i2 + -9i2x + -4x + -2x2 + x3 = 4x + -4x + 2x2 + -2x2 + -1x3 + x3

Combine like terms: 4x + -4x = 0
8 + -18i2 + -9i2x + -4x + -2x2 + x3 = 0 + 2x2 + -2x2 + -1x3 + x3
8 + -18i2 + -9i2x + -4x + -2x2 + x3 = 2x2 + -2x2 + -1x3 + x3

Combine like terms: 2x2 + -2x2 = 0
8 + -18i2 + -9i2x + -4x + -2x2 + x3 = 0 + -1x3 + x3
8 + -18i2 + -9i2x + -4x + -2x2 + x3 = -1x3 + x3

Combine like terms: -1x3 + x3 = 0
8 + -18i2 + -9i2x + -4x + -2x2 + x3 = 0

The solution to this equation could not be determined.

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