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

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


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

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

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

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

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

Multiply (3 + -3i + x) * (3 + 3i + x)
(3(3 + 3i + x) + -3i * (3 + 3i + x) + x(3 + 3i + x))(1 + x)(-2 + x) = 0
((3 * 3 + 3i * 3 + x * 3) + -3i * (3 + 3i + x) + x(3 + 3i + x))(1 + x)(-2 + x) = 0
((9 + 9i + 3x) + -3i * (3 + 3i + x) + x(3 + 3i + x))(1 + x)(-2 + x) = 0
(9 + 9i + 3x + (3 * -3i + 3i * -3i + x * -3i) + x(3 + 3i + x))(1 + x)(-2 + x) = 0

Reorder the terms:
(9 + 9i + 3x + (-9i + -3ix + -9i2) + x(3 + 3i + x))(1 + x)(-2 + x) = 0
(9 + 9i + 3x + (-9i + -3ix + -9i2) + x(3 + 3i + x))(1 + x)(-2 + x) = 0
(9 + 9i + 3x + -9i + -3ix + -9i2 + (3 * x + 3i * x + x * x))(1 + x)(-2 + x) = 0

Reorder the terms:
(9 + 9i + 3x + -9i + -3ix + -9i2 + (3ix + 3x + x2))(1 + x)(-2 + x) = 0
(9 + 9i + 3x + -9i + -3ix + -9i2 + (3ix + 3x + x2))(1 + x)(-2 + x) = 0

Reorder the terms:
(9 + 9i + -9i + -3ix + 3ix + -9i2 + 3x + 3x + x2)(1 + x)(-2 + x) = 0

Combine like terms: 9i + -9i = 0
(9 + 0 + -3ix + 3ix + -9i2 + 3x + 3x + x2)(1 + x)(-2 + x) = 0
(9 + -3ix + 3ix + -9i2 + 3x + 3x + x2)(1 + x)(-2 + x) = 0

Combine like terms: -3ix + 3ix = 0
(9 + 0 + -9i2 + 3x + 3x + x2)(1 + x)(-2 + x) = 0
(9 + -9i2 + 3x + 3x + x2)(1 + x)(-2 + x) = 0

Combine like terms: 3x + 3x = 6x
(9 + -9i2 + 6x + x2)(1 + x)(-2 + x) = 0

Multiply (9 + -9i2 + 6x + x2) * (1 + x)
(9(1 + x) + -9i2 * (1 + x) + 6x * (1 + x) + x2(1 + x))(-2 + x) = 0
((1 * 9 + x * 9) + -9i2 * (1 + x) + 6x * (1 + x) + x2(1 + x))(-2 + x) = 0
((9 + 9x) + -9i2 * (1 + x) + 6x * (1 + x) + x2(1 + x))(-2 + x) = 0
(9 + 9x + (1 * -9i2 + x * -9i2) + 6x * (1 + x) + x2(1 + x))(-2 + x) = 0
(9 + 9x + (-9i2 + -9i2x) + 6x * (1 + x) + x2(1 + x))(-2 + x) = 0
(9 + 9x + -9i2 + -9i2x + (1 * 6x + x * 6x) + x2(1 + x))(-2 + x) = 0
(9 + 9x + -9i2 + -9i2x + (6x + 6x2) + x2(1 + x))(-2 + x) = 0
(9 + 9x + -9i2 + -9i2x + 6x + 6x2 + (1 * x2 + x * x2))(-2 + x) = 0
(9 + 9x + -9i2 + -9i2x + 6x + 6x2 + (1x2 + x3))(-2 + x) = 0

Reorder the terms:
(9 + -9i2 + -9i2x + 9x + 6x + 6x2 + 1x2 + x3)(-2 + x) = 0

Combine like terms: 9x + 6x = 15x
(9 + -9i2 + -9i2x + 15x + 6x2 + 1x2 + x3)(-2 + x) = 0

Combine like terms: 6x2 + 1x2 = 7x2
(9 + -9i2 + -9i2x + 15x + 7x2 + x3)(-2 + x) = 0

Multiply (9 + -9i2 + -9i2x + 15x + 7x2 + x3) * (-2 + x)
(9(-2 + x) + -9i2 * (-2 + x) + -9i2x * (-2 + x) + 15x * (-2 + x) + 7x2 * (-2 + x) + x3(-2 + x)) = 0
((-2 * 9 + x * 9) + -9i2 * (-2 + x) + -9i2x * (-2 + x) + 15x * (-2 + x) + 7x2 * (-2 + x) + x3(-2 + x)) = 0
((-18 + 9x) + -9i2 * (-2 + x) + -9i2x * (-2 + x) + 15x * (-2 + x) + 7x2 * (-2 + x) + x3(-2 + x)) = 0
(-18 + 9x + (-2 * -9i2 + x * -9i2) + -9i2x * (-2 + x) + 15x * (-2 + x) + 7x2 * (-2 + x) + x3(-2 + x)) = 0
(-18 + 9x + (18i2 + -9i2x) + -9i2x * (-2 + x) + 15x * (-2 + x) + 7x2 * (-2 + x) + x3(-2 + x)) = 0
(-18 + 9x + 18i2 + -9i2x + (-2 * -9i2x + x * -9i2x) + 15x * (-2 + x) + 7x2 * (-2 + x) + x3(-2 + x)) = 0
(-18 + 9x + 18i2 + -9i2x + (18i2x + -9i2x2) + 15x * (-2 + x) + 7x2 * (-2 + x) + x3(-2 + x)) = 0
(-18 + 9x + 18i2 + -9i2x + 18i2x + -9i2x2 + (-2 * 15x + x * 15x) + 7x2 * (-2 + x) + x3(-2 + x)) = 0
(-18 + 9x + 18i2 + -9i2x + 18i2x + -9i2x2 + (-30x + 15x2) + 7x2 * (-2 + x) + x3(-2 + x)) = 0
(-18 + 9x + 18i2 + -9i2x + 18i2x + -9i2x2 + -30x + 15x2 + (-2 * 7x2 + x * 7x2) + x3(-2 + x)) = 0
(-18 + 9x + 18i2 + -9i2x + 18i2x + -9i2x2 + -30x + 15x2 + (-14x2 + 7x3) + x3(-2 + x)) = 0
(-18 + 9x + 18i2 + -9i2x + 18i2x + -9i2x2 + -30x + 15x2 + -14x2 + 7x3 + (-2 * x3 + x * x3)) = 0
(-18 + 9x + 18i2 + -9i2x + 18i2x + -9i2x2 + -30x + 15x2 + -14x2 + 7x3 + (-2x3 + x4)) = 0

Reorder the terms:
(-18 + 18i2 + -9i2x + 18i2x + -9i2x2 + 9x + -30x + 15x2 + -14x2 + 7x3 + -2x3 + x4) = 0

Combine like terms: -9i2x + 18i2x = 9i2x
(-18 + 18i2 + 9i2x + -9i2x2 + 9x + -30x + 15x2 + -14x2 + 7x3 + -2x3 + x4) = 0

Combine like terms: 9x + -30x = -21x
(-18 + 18i2 + 9i2x + -9i2x2 + -21x + 15x2 + -14x2 + 7x3 + -2x3 + x4) = 0

Combine like terms: 15x2 + -14x2 = 1x2
(-18 + 18i2 + 9i2x + -9i2x2 + -21x + 1x2 + 7x3 + -2x3 + x4) = 0

Combine like terms: 7x3 + -2x3 = 5x3
(-18 + 18i2 + 9i2x + -9i2x2 + -21x + 1x2 + 5x3 + x4) = 0

Solving
-18 + 18i2 + 9i2x + -9i2x2 + -21x + 1x2 + 5x3 + x4 = 0

Solving for variable 'i'.

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

Add '18' to each side of the equation.
-18 + 18i2 + 9i2x + -9i2x2 + -21x + 1x2 + 5x3 + 18 + x4 = 0 + 18

Reorder the terms:
-18 + 18 + 18i2 + 9i2x + -9i2x2 + -21x + 1x2 + 5x3 + x4 = 0 + 18

Combine like terms: -18 + 18 = 0
0 + 18i2 + 9i2x + -9i2x2 + -21x + 1x2 + 5x3 + x4 = 0 + 18
18i2 + 9i2x + -9i2x2 + -21x + 1x2 + 5x3 + x4 = 0 + 18

Combine like terms: 0 + 18 = 18
18i2 + 9i2x + -9i2x2 + -21x + 1x2 + 5x3 + x4 = 18

Add '21x' to each side of the equation.
18i2 + 9i2x + -9i2x2 + -21x + 1x2 + 5x3 + 21x + x4 = 18 + 21x

Reorder the terms:
18i2 + 9i2x + -9i2x2 + -21x + 21x + 1x2 + 5x3 + x4 = 18 + 21x

Combine like terms: -21x + 21x = 0
18i2 + 9i2x + -9i2x2 + 0 + 1x2 + 5x3 + x4 = 18 + 21x
18i2 + 9i2x + -9i2x2 + 1x2 + 5x3 + x4 = 18 + 21x

Add '-1x2' to each side of the equation.
18i2 + 9i2x + -9i2x2 + 1x2 + 5x3 + -1x2 + x4 = 18 + 21x + -1x2

Reorder the terms:
18i2 + 9i2x + -9i2x2 + 1x2 + -1x2 + 5x3 + x4 = 18 + 21x + -1x2

Combine like terms: 1x2 + -1x2 = 0
18i2 + 9i2x + -9i2x2 + 0 + 5x3 + x4 = 18 + 21x + -1x2
18i2 + 9i2x + -9i2x2 + 5x3 + x4 = 18 + 21x + -1x2

Add '-5x3' to each side of the equation.
18i2 + 9i2x + -9i2x2 + 5x3 + -5x3 + x4 = 18 + 21x + -1x2 + -5x3

Combine like terms: 5x3 + -5x3 = 0
18i2 + 9i2x + -9i2x2 + 0 + x4 = 18 + 21x + -1x2 + -5x3
18i2 + 9i2x + -9i2x2 + x4 = 18 + 21x + -1x2 + -5x3

Add '-1x4' to each side of the equation.
18i2 + 9i2x + -9i2x2 + x4 + -1x4 = 18 + 21x + -1x2 + -5x3 + -1x4

Combine like terms: x4 + -1x4 = 0
18i2 + 9i2x + -9i2x2 + 0 = 18 + 21x + -1x2 + -5x3 + -1x4
18i2 + 9i2x + -9i2x2 = 18 + 21x + -1x2 + -5x3 + -1x4

Reorder the terms:
-18 + 18i2 + 9i2x + -9i2x2 + -21x + x2 + 5x3 + x4 = 18 + 21x + -1x2 + -5x3 + -1x4 + -18 + -21x + x2 + 5x3 + x4

Reorder the terms:
-18 + 18i2 + 9i2x + -9i2x2 + -21x + x2 + 5x3 + x4 = 18 + -18 + 21x + -21x + -1x2 + x2 + -5x3 + 5x3 + -1x4 + x4

Combine like terms: 18 + -18 = 0
-18 + 18i2 + 9i2x + -9i2x2 + -21x + x2 + 5x3 + x4 = 0 + 21x + -21x + -1x2 + x2 + -5x3 + 5x3 + -1x4 + x4
-18 + 18i2 + 9i2x + -9i2x2 + -21x + x2 + 5x3 + x4 = 21x + -21x + -1x2 + x2 + -5x3 + 5x3 + -1x4 + x4

Combine like terms: 21x + -21x = 0
-18 + 18i2 + 9i2x + -9i2x2 + -21x + x2 + 5x3 + x4 = 0 + -1x2 + x2 + -5x3 + 5x3 + -1x4 + x4
-18 + 18i2 + 9i2x + -9i2x2 + -21x + x2 + 5x3 + x4 = -1x2 + x2 + -5x3 + 5x3 + -1x4 + x4

Combine like terms: -1x2 + x2 = 0
-18 + 18i2 + 9i2x + -9i2x2 + -21x + x2 + 5x3 + x4 = 0 + -5x3 + 5x3 + -1x4 + x4
-18 + 18i2 + 9i2x + -9i2x2 + -21x + x2 + 5x3 + x4 = -5x3 + 5x3 + -1x4 + x4

Combine like terms: -5x3 + 5x3 = 0
-18 + 18i2 + 9i2x + -9i2x2 + -21x + x2 + 5x3 + x4 = 0 + -1x4 + x4
-18 + 18i2 + 9i2x + -9i2x2 + -21x + x2 + 5x3 + x4 = -1x4 + x4

Combine like terms: -1x4 + x4 = 0
-18 + 18i2 + 9i2x + -9i2x2 + -21x + x2 + 5x3 + x4 = 0

The solution to this equation could not be determined.

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