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

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


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

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

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

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

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

Multiply (2 + x) * (-3 + x)
(2(-3 + x) + x(-3 + x))(3 + -2i + x)(3 + 2i + x) = 0
((-3 * 2 + x * 2) + x(-3 + x))(3 + -2i + x)(3 + 2i + x) = 0
((-6 + 2x) + x(-3 + x))(3 + -2i + x)(3 + 2i + x) = 0
(-6 + 2x + (-3 * x + x * x))(3 + -2i + x)(3 + 2i + x) = 0
(-6 + 2x + (-3x + x2))(3 + -2i + x)(3 + 2i + x) = 0

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

Multiply (-6 + -1x + x2) * (3 + -2i + x)
(-6(3 + -2i + x) + -1x * (3 + -2i + x) + x2(3 + -2i + x))(3 + 2i + x) = 0
((3 * -6 + -2i * -6 + x * -6) + -1x * (3 + -2i + x) + x2(3 + -2i + x))(3 + 2i + x) = 0
((-18 + 12i + -6x) + -1x * (3 + -2i + x) + x2(3 + -2i + x))(3 + 2i + x) = 0
(-18 + 12i + -6x + (3 * -1x + -2i * -1x + x * -1x) + x2(3 + -2i + x))(3 + 2i + x) = 0

Reorder the terms:
(-18 + 12i + -6x + (2ix + -3x + -1x2) + x2(3 + -2i + x))(3 + 2i + x) = 0
(-18 + 12i + -6x + (2ix + -3x + -1x2) + x2(3 + -2i + x))(3 + 2i + x) = 0
(-18 + 12i + -6x + 2ix + -3x + -1x2 + (3 * x2 + -2i * x2 + x * x2))(3 + 2i + x) = 0

Reorder the terms:
(-18 + 12i + -6x + 2ix + -3x + -1x2 + (-2ix2 + 3x2 + x3))(3 + 2i + x) = 0
(-18 + 12i + -6x + 2ix + -3x + -1x2 + (-2ix2 + 3x2 + x3))(3 + 2i + x) = 0

Reorder the terms:
(-18 + 12i + 2ix + -2ix2 + -6x + -3x + -1x2 + 3x2 + x3)(3 + 2i + x) = 0

Combine like terms: -6x + -3x = -9x
(-18 + 12i + 2ix + -2ix2 + -9x + -1x2 + 3x2 + x3)(3 + 2i + x) = 0

Combine like terms: -1x2 + 3x2 = 2x2
(-18 + 12i + 2ix + -2ix2 + -9x + 2x2 + x3)(3 + 2i + x) = 0

Multiply (-18 + 12i + 2ix + -2ix2 + -9x + 2x2 + x3) * (3 + 2i + x)
(-18(3 + 2i + x) + 12i * (3 + 2i + x) + 2ix * (3 + 2i + x) + -2ix2 * (3 + 2i + x) + -9x * (3 + 2i + x) + 2x2 * (3 + 2i + x) + x3(3 + 2i + x)) = 0
((3 * -18 + 2i * -18 + x * -18) + 12i * (3 + 2i + x) + 2ix * (3 + 2i + x) + -2ix2 * (3 + 2i + x) + -9x * (3 + 2i + x) + 2x2 * (3 + 2i + x) + x3(3 + 2i + x)) = 0
((-54 + -36i + -18x) + 12i * (3 + 2i + x) + 2ix * (3 + 2i + x) + -2ix2 * (3 + 2i + x) + -9x * (3 + 2i + x) + 2x2 * (3 + 2i + x) + x3(3 + 2i + x)) = 0
(-54 + -36i + -18x + (3 * 12i + 2i * 12i + x * 12i) + 2ix * (3 + 2i + x) + -2ix2 * (3 + 2i + x) + -9x * (3 + 2i + x) + 2x2 * (3 + 2i + x) + x3(3 + 2i + x)) = 0

Reorder the terms:
(-54 + -36i + -18x + (36i + 12ix + 24i2) + 2ix * (3 + 2i + x) + -2ix2 * (3 + 2i + x) + -9x * (3 + 2i + x) + 2x2 * (3 + 2i + x) + x3(3 + 2i + x)) = 0
(-54 + -36i + -18x + (36i + 12ix + 24i2) + 2ix * (3 + 2i + x) + -2ix2 * (3 + 2i + x) + -9x * (3 + 2i + x) + 2x2 * (3 + 2i + x) + x3(3 + 2i + x)) = 0
(-54 + -36i + -18x + 36i + 12ix + 24i2 + (3 * 2ix + 2i * 2ix + x * 2ix) + -2ix2 * (3 + 2i + x) + -9x * (3 + 2i + x) + 2x2 * (3 + 2i + x) + x3(3 + 2i + x)) = 0

Reorder the terms:
(-54 + -36i + -18x + 36i + 12ix + 24i2 + (6ix + 2ix2 + 4i2x) + -2ix2 * (3 + 2i + x) + -9x * (3 + 2i + x) + 2x2 * (3 + 2i + x) + x3(3 + 2i + x)) = 0
(-54 + -36i + -18x + 36i + 12ix + 24i2 + (6ix + 2ix2 + 4i2x) + -2ix2 * (3 + 2i + x) + -9x * (3 + 2i + x) + 2x2 * (3 + 2i + x) + x3(3 + 2i + x)) = 0
(-54 + -36i + -18x + 36i + 12ix + 24i2 + 6ix + 2ix2 + 4i2x + (3 * -2ix2 + 2i * -2ix2 + x * -2ix2) + -9x * (3 + 2i + x) + 2x2 * (3 + 2i + x) + x3(3 + 2i + x)) = 0

Reorder the terms:
(-54 + -36i + -18x + 36i + 12ix + 24i2 + 6ix + 2ix2 + 4i2x + (-6ix2 + -2ix3 + -4i2x2) + -9x * (3 + 2i + x) + 2x2 * (3 + 2i + x) + x3(3 + 2i + x)) = 0
(-54 + -36i + -18x + 36i + 12ix + 24i2 + 6ix + 2ix2 + 4i2x + (-6ix2 + -2ix3 + -4i2x2) + -9x * (3 + 2i + x) + 2x2 * (3 + 2i + x) + x3(3 + 2i + x)) = 0
(-54 + -36i + -18x + 36i + 12ix + 24i2 + 6ix + 2ix2 + 4i2x + -6ix2 + -2ix3 + -4i2x2 + (3 * -9x + 2i * -9x + x * -9x) + 2x2 * (3 + 2i + x) + x3(3 + 2i + x)) = 0

Reorder the terms:
(-54 + -36i + -18x + 36i + 12ix + 24i2 + 6ix + 2ix2 + 4i2x + -6ix2 + -2ix3 + -4i2x2 + (-18ix + -27x + -9x2) + 2x2 * (3 + 2i + x) + x3(3 + 2i + x)) = 0
(-54 + -36i + -18x + 36i + 12ix + 24i2 + 6ix + 2ix2 + 4i2x + -6ix2 + -2ix3 + -4i2x2 + (-18ix + -27x + -9x2) + 2x2 * (3 + 2i + x) + x3(3 + 2i + x)) = 0
(-54 + -36i + -18x + 36i + 12ix + 24i2 + 6ix + 2ix2 + 4i2x + -6ix2 + -2ix3 + -4i2x2 + -18ix + -27x + -9x2 + (3 * 2x2 + 2i * 2x2 + x * 2x2) + x3(3 + 2i + x)) = 0

Reorder the terms:
(-54 + -36i + -18x + 36i + 12ix + 24i2 + 6ix + 2ix2 + 4i2x + -6ix2 + -2ix3 + -4i2x2 + -18ix + -27x + -9x2 + (4ix2 + 6x2 + 2x3) + x3(3 + 2i + x)) = 0
(-54 + -36i + -18x + 36i + 12ix + 24i2 + 6ix + 2ix2 + 4i2x + -6ix2 + -2ix3 + -4i2x2 + -18ix + -27x + -9x2 + (4ix2 + 6x2 + 2x3) + x3(3 + 2i + x)) = 0
(-54 + -36i + -18x + 36i + 12ix + 24i2 + 6ix + 2ix2 + 4i2x + -6ix2 + -2ix3 + -4i2x2 + -18ix + -27x + -9x2 + 4ix2 + 6x2 + 2x3 + (3 * x3 + 2i * x3 + x * x3)) = 0

Reorder the terms:
(-54 + -36i + -18x + 36i + 12ix + 24i2 + 6ix + 2ix2 + 4i2x + -6ix2 + -2ix3 + -4i2x2 + -18ix + -27x + -9x2 + 4ix2 + 6x2 + 2x3 + (2ix3 + 3x3 + x4)) = 0
(-54 + -36i + -18x + 36i + 12ix + 24i2 + 6ix + 2ix2 + 4i2x + -6ix2 + -2ix3 + -4i2x2 + -18ix + -27x + -9x2 + 4ix2 + 6x2 + 2x3 + (2ix3 + 3x3 + x4)) = 0

Reorder the terms:
(-54 + -36i + 36i + 12ix + 6ix + -18ix + 2ix2 + -6ix2 + 4ix2 + -2ix3 + 2ix3 + 24i2 + 4i2x + -4i2x2 + -18x + -27x + -9x2 + 6x2 + 2x3 + 3x3 + x4) = 0

Combine like terms: -36i + 36i = 0
(-54 + 0 + 12ix + 6ix + -18ix + 2ix2 + -6ix2 + 4ix2 + -2ix3 + 2ix3 + 24i2 + 4i2x + -4i2x2 + -18x + -27x + -9x2 + 6x2 + 2x3 + 3x3 + x4) = 0
(-54 + 12ix + 6ix + -18ix + 2ix2 + -6ix2 + 4ix2 + -2ix3 + 2ix3 + 24i2 + 4i2x + -4i2x2 + -18x + -27x + -9x2 + 6x2 + 2x3 + 3x3 + x4) = 0

Combine like terms: 12ix + 6ix = 18ix
(-54 + 18ix + -18ix + 2ix2 + -6ix2 + 4ix2 + -2ix3 + 2ix3 + 24i2 + 4i2x + -4i2x2 + -18x + -27x + -9x2 + 6x2 + 2x3 + 3x3 + x4) = 0

Combine like terms: 18ix + -18ix = 0
(-54 + 0 + 2ix2 + -6ix2 + 4ix2 + -2ix3 + 2ix3 + 24i2 + 4i2x + -4i2x2 + -18x + -27x + -9x2 + 6x2 + 2x3 + 3x3 + x4) = 0
(-54 + 2ix2 + -6ix2 + 4ix2 + -2ix3 + 2ix3 + 24i2 + 4i2x + -4i2x2 + -18x + -27x + -9x2 + 6x2 + 2x3 + 3x3 + x4) = 0

Combine like terms: 2ix2 + -6ix2 = -4ix2
(-54 + -4ix2 + 4ix2 + -2ix3 + 2ix3 + 24i2 + 4i2x + -4i2x2 + -18x + -27x + -9x2 + 6x2 + 2x3 + 3x3 + x4) = 0

Combine like terms: -4ix2 + 4ix2 = 0
(-54 + 0 + -2ix3 + 2ix3 + 24i2 + 4i2x + -4i2x2 + -18x + -27x + -9x2 + 6x2 + 2x3 + 3x3 + x4) = 0
(-54 + -2ix3 + 2ix3 + 24i2 + 4i2x + -4i2x2 + -18x + -27x + -9x2 + 6x2 + 2x3 + 3x3 + x4) = 0

Combine like terms: -2ix3 + 2ix3 = 0
(-54 + 0 + 24i2 + 4i2x + -4i2x2 + -18x + -27x + -9x2 + 6x2 + 2x3 + 3x3 + x4) = 0
(-54 + 24i2 + 4i2x + -4i2x2 + -18x + -27x + -9x2 + 6x2 + 2x3 + 3x3 + x4) = 0

Combine like terms: -18x + -27x = -45x
(-54 + 24i2 + 4i2x + -4i2x2 + -45x + -9x2 + 6x2 + 2x3 + 3x3 + x4) = 0

Combine like terms: -9x2 + 6x2 = -3x2
(-54 + 24i2 + 4i2x + -4i2x2 + -45x + -3x2 + 2x3 + 3x3 + x4) = 0

Combine like terms: 2x3 + 3x3 = 5x3
(-54 + 24i2 + 4i2x + -4i2x2 + -45x + -3x2 + 5x3 + x4) = 0

Solving
-54 + 24i2 + 4i2x + -4i2x2 + -45x + -3x2 + 5x3 + x4 = 0

Solving for variable 'i'.

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

Add '54' to each side of the equation.
-54 + 24i2 + 4i2x + -4i2x2 + -45x + -3x2 + 5x3 + 54 + x4 = 0 + 54

Reorder the terms:
-54 + 54 + 24i2 + 4i2x + -4i2x2 + -45x + -3x2 + 5x3 + x4 = 0 + 54

Combine like terms: -54 + 54 = 0
0 + 24i2 + 4i2x + -4i2x2 + -45x + -3x2 + 5x3 + x4 = 0 + 54
24i2 + 4i2x + -4i2x2 + -45x + -3x2 + 5x3 + x4 = 0 + 54

Combine like terms: 0 + 54 = 54
24i2 + 4i2x + -4i2x2 + -45x + -3x2 + 5x3 + x4 = 54

Add '45x' to each side of the equation.
24i2 + 4i2x + -4i2x2 + -45x + -3x2 + 5x3 + 45x + x4 = 54 + 45x

Reorder the terms:
24i2 + 4i2x + -4i2x2 + -45x + 45x + -3x2 + 5x3 + x4 = 54 + 45x

Combine like terms: -45x + 45x = 0
24i2 + 4i2x + -4i2x2 + 0 + -3x2 + 5x3 + x4 = 54 + 45x
24i2 + 4i2x + -4i2x2 + -3x2 + 5x3 + x4 = 54 + 45x

Add '3x2' to each side of the equation.
24i2 + 4i2x + -4i2x2 + -3x2 + 5x3 + 3x2 + x4 = 54 + 45x + 3x2

Reorder the terms:
24i2 + 4i2x + -4i2x2 + -3x2 + 3x2 + 5x3 + x4 = 54 + 45x + 3x2

Combine like terms: -3x2 + 3x2 = 0
24i2 + 4i2x + -4i2x2 + 0 + 5x3 + x4 = 54 + 45x + 3x2
24i2 + 4i2x + -4i2x2 + 5x3 + x4 = 54 + 45x + 3x2

Add '-5x3' to each side of the equation.
24i2 + 4i2x + -4i2x2 + 5x3 + -5x3 + x4 = 54 + 45x + 3x2 + -5x3

Combine like terms: 5x3 + -5x3 = 0
24i2 + 4i2x + -4i2x2 + 0 + x4 = 54 + 45x + 3x2 + -5x3
24i2 + 4i2x + -4i2x2 + x4 = 54 + 45x + 3x2 + -5x3

Add '-1x4' to each side of the equation.
24i2 + 4i2x + -4i2x2 + x4 + -1x4 = 54 + 45x + 3x2 + -5x3 + -1x4

Combine like terms: x4 + -1x4 = 0
24i2 + 4i2x + -4i2x2 + 0 = 54 + 45x + 3x2 + -5x3 + -1x4
24i2 + 4i2x + -4i2x2 = 54 + 45x + 3x2 + -5x3 + -1x4

Reorder the terms:
-54 + 24i2 + 4i2x + -4i2x2 + -45x + -3x2 + 5x3 + x4 = 54 + 45x + 3x2 + -5x3 + -1x4 + -54 + -45x + -3x2 + 5x3 + x4

Reorder the terms:
-54 + 24i2 + 4i2x + -4i2x2 + -45x + -3x2 + 5x3 + x4 = 54 + -54 + 45x + -45x + 3x2 + -3x2 + -5x3 + 5x3 + -1x4 + x4

Combine like terms: 54 + -54 = 0
-54 + 24i2 + 4i2x + -4i2x2 + -45x + -3x2 + 5x3 + x4 = 0 + 45x + -45x + 3x2 + -3x2 + -5x3 + 5x3 + -1x4 + x4
-54 + 24i2 + 4i2x + -4i2x2 + -45x + -3x2 + 5x3 + x4 = 45x + -45x + 3x2 + -3x2 + -5x3 + 5x3 + -1x4 + x4

Combine like terms: 45x + -45x = 0
-54 + 24i2 + 4i2x + -4i2x2 + -45x + -3x2 + 5x3 + x4 = 0 + 3x2 + -3x2 + -5x3 + 5x3 + -1x4 + x4
-54 + 24i2 + 4i2x + -4i2x2 + -45x + -3x2 + 5x3 + x4 = 3x2 + -3x2 + -5x3 + 5x3 + -1x4 + x4

Combine like terms: 3x2 + -3x2 = 0
-54 + 24i2 + 4i2x + -4i2x2 + -45x + -3x2 + 5x3 + x4 = 0 + -5x3 + 5x3 + -1x4 + x4
-54 + 24i2 + 4i2x + -4i2x2 + -45x + -3x2 + 5x3 + x4 = -5x3 + 5x3 + -1x4 + x4

Combine like terms: -5x3 + 5x3 = 0
-54 + 24i2 + 4i2x + -4i2x2 + -45x + -3x2 + 5x3 + x4 = 0 + -1x4 + x4
-54 + 24i2 + 4i2x + -4i2x2 + -45x + -3x2 + 5x3 + x4 = -1x4 + x4

Combine like terms: -1x4 + x4 = 0
-54 + 24i2 + 4i2x + -4i2x2 + -45x + -3x2 + 5x3 + x4 = 0

The solution to this equation could not be determined.

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