(x-5)(x-2+3i)(x+2+3i)=0

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Solution for (x-5)(x-2+3i)(x+2+3i)=0 equation: 


Simplifying
(x + -5)(x + -2 + 3i)(x + 2 + 3i) = 0

Reorder the terms:
(-5 + x)(x + -2 + 3i)(x + 2 + 3i) = 0

Reorder the terms:
(-5 + x)(-2 + 3i + x)(x + 2 + 3i) = 0

Reorder the terms:
(-5 + x)(-2 + 3i + x)(2 + 3i + x) = 0

Multiply (-5 + x) * (-2 + 3i + x)
(-5(-2 + 3i + x) + x(-2 + 3i + x))(2 + 3i + x) = 0
((-2 * -5 + 3i * -5 + x * -5) + x(-2 + 3i + x))(2 + 3i + x) = 0
((10 + -15i + -5x) + x(-2 + 3i + x))(2 + 3i + x) = 0
(10 + -15i + -5x + (-2 * x + 3i * x + x * x))(2 + 3i + x) = 0

Reorder the terms:
(10 + -15i + -5x + (3ix + -2x + x2))(2 + 3i + x) = 0
(10 + -15i + -5x + (3ix + -2x + x2))(2 + 3i + x) = 0

Reorder the terms:
(10 + -15i + 3ix + -5x + -2x + x2)(2 + 3i + x) = 0

Combine like terms: -5x + -2x = -7x
(10 + -15i + 3ix + -7x + x2)(2 + 3i + x) = 0

Multiply (10 + -15i + 3ix + -7x + x2) * (2 + 3i + x)
(10(2 + 3i + x) + -15i * (2 + 3i + x) + 3ix * (2 + 3i + x) + -7x * (2 + 3i + x) + x2(2 + 3i + x)) = 0
((2 * 10 + 3i * 10 + x * 10) + -15i * (2 + 3i + x) + 3ix * (2 + 3i + x) + -7x * (2 + 3i + x) + x2(2 + 3i + x)) = 0
((20 + 30i + 10x) + -15i * (2 + 3i + x) + 3ix * (2 + 3i + x) + -7x * (2 + 3i + x) + x2(2 + 3i + x)) = 0
(20 + 30i + 10x + (2 * -15i + 3i * -15i + x * -15i) + 3ix * (2 + 3i + x) + -7x * (2 + 3i + x) + x2(2 + 3i + x)) = 0

Reorder the terms:
(20 + 30i + 10x + (-30i + -15ix + -45i2) + 3ix * (2 + 3i + x) + -7x * (2 + 3i + x) + x2(2 + 3i + x)) = 0
(20 + 30i + 10x + (-30i + -15ix + -45i2) + 3ix * (2 + 3i + x) + -7x * (2 + 3i + x) + x2(2 + 3i + x)) = 0
(20 + 30i + 10x + -30i + -15ix + -45i2 + (2 * 3ix + 3i * 3ix + x * 3ix) + -7x * (2 + 3i + x) + x2(2 + 3i + x)) = 0

Reorder the terms:
(20 + 30i + 10x + -30i + -15ix + -45i2 + (6ix + 3ix2 + 9i2x) + -7x * (2 + 3i + x) + x2(2 + 3i + x)) = 0
(20 + 30i + 10x + -30i + -15ix + -45i2 + (6ix + 3ix2 + 9i2x) + -7x * (2 + 3i + x) + x2(2 + 3i + x)) = 0
(20 + 30i + 10x + -30i + -15ix + -45i2 + 6ix + 3ix2 + 9i2x + (2 * -7x + 3i * -7x + x * -7x) + x2(2 + 3i + x)) = 0

Reorder the terms:
(20 + 30i + 10x + -30i + -15ix + -45i2 + 6ix + 3ix2 + 9i2x + (-21ix + -14x + -7x2) + x2(2 + 3i + x)) = 0
(20 + 30i + 10x + -30i + -15ix + -45i2 + 6ix + 3ix2 + 9i2x + (-21ix + -14x + -7x2) + x2(2 + 3i + x)) = 0
(20 + 30i + 10x + -30i + -15ix + -45i2 + 6ix + 3ix2 + 9i2x + -21ix + -14x + -7x2 + (2 * x2 + 3i * x2 + x * x2)) = 0

Reorder the terms:
(20 + 30i + 10x + -30i + -15ix + -45i2 + 6ix + 3ix2 + 9i2x + -21ix + -14x + -7x2 + (3ix2 + 2x2 + x3)) = 0
(20 + 30i + 10x + -30i + -15ix + -45i2 + 6ix + 3ix2 + 9i2x + -21ix + -14x + -7x2 + (3ix2 + 2x2 + x3)) = 0

Reorder the terms:
(20 + 30i + -30i + -15ix + 6ix + -21ix + 3ix2 + 3ix2 + -45i2 + 9i2x + 10x + -14x + -7x2 + 2x2 + x3) = 0

Combine like terms: 30i + -30i = 0
(20 + 0 + -15ix + 6ix + -21ix + 3ix2 + 3ix2 + -45i2 + 9i2x + 10x + -14x + -7x2 + 2x2 + x3) = 0
(20 + -15ix + 6ix + -21ix + 3ix2 + 3ix2 + -45i2 + 9i2x + 10x + -14x + -7x2 + 2x2 + x3) = 0

Combine like terms: -15ix + 6ix = -9ix
(20 + -9ix + -21ix + 3ix2 + 3ix2 + -45i2 + 9i2x + 10x + -14x + -7x2 + 2x2 + x3) = 0

Combine like terms: -9ix + -21ix = -30ix
(20 + -30ix + 3ix2 + 3ix2 + -45i2 + 9i2x + 10x + -14x + -7x2 + 2x2 + x3) = 0

Combine like terms: 3ix2 + 3ix2 = 6ix2
(20 + -30ix + 6ix2 + -45i2 + 9i2x + 10x + -14x + -7x2 + 2x2 + x3) = 0

Combine like terms: 10x + -14x = -4x
(20 + -30ix + 6ix2 + -45i2 + 9i2x + -4x + -7x2 + 2x2 + x3) = 0

Combine like terms: -7x2 + 2x2 = -5x2
(20 + -30ix + 6ix2 + -45i2 + 9i2x + -4x + -5x2 + x3) = 0

Solving
20 + -30ix + 6ix2 + -45i2 + 9i2x + -4x + -5x2 + x3 = 0

Solving for variable 'i'.

The solution to this equation could not be determined.

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