(x+1)(x-4+5i)(x+4-5i)=0

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Solution for (x+1)(x-4+5i)(x+4-5i)=0 equation: 


Simplifying
(x + 1)(x + -4 + 5i)(x + 4 + -5i) = 0

Reorder the terms:
(1 + x)(x + -4 + 5i)(x + 4 + -5i) = 0

Reorder the terms:
(1 + x)(-4 + 5i + x)(x + 4 + -5i) = 0

Reorder the terms:
(1 + x)(-4 + 5i + x)(4 + -5i + x) = 0

Multiply (1 + x) * (-4 + 5i + x)
(1(-4 + 5i + x) + x(-4 + 5i + x))(4 + -5i + x) = 0
((-4 * 1 + 5i * 1 + x * 1) + x(-4 + 5i + x))(4 + -5i + x) = 0
((-4 + 5i + 1x) + x(-4 + 5i + x))(4 + -5i + x) = 0
(-4 + 5i + 1x + (-4 * x + 5i * x + x * x))(4 + -5i + x) = 0

Reorder the terms:
(-4 + 5i + 1x + (5ix + -4x + x2))(4 + -5i + x) = 0
(-4 + 5i + 1x + (5ix + -4x + x2))(4 + -5i + x) = 0

Reorder the terms:
(-4 + 5i + 5ix + 1x + -4x + x2)(4 + -5i + x) = 0

Combine like terms: 1x + -4x = -3x
(-4 + 5i + 5ix + -3x + x2)(4 + -5i + x) = 0

Multiply (-4 + 5i + 5ix + -3x + x2) * (4 + -5i + x)
(-4(4 + -5i + x) + 5i * (4 + -5i + x) + 5ix * (4 + -5i + x) + -3x * (4 + -5i + x) + x2(4 + -5i + x)) = 0
((4 * -4 + -5i * -4 + x * -4) + 5i * (4 + -5i + x) + 5ix * (4 + -5i + x) + -3x * (4 + -5i + x) + x2(4 + -5i + x)) = 0
((-16 + 20i + -4x) + 5i * (4 + -5i + x) + 5ix * (4 + -5i + x) + -3x * (4 + -5i + x) + x2(4 + -5i + x)) = 0
(-16 + 20i + -4x + (4 * 5i + -5i * 5i + x * 5i) + 5ix * (4 + -5i + x) + -3x * (4 + -5i + x) + x2(4 + -5i + x)) = 0

Reorder the terms:
(-16 + 20i + -4x + (20i + 5ix + -25i2) + 5ix * (4 + -5i + x) + -3x * (4 + -5i + x) + x2(4 + -5i + x)) = 0
(-16 + 20i + -4x + (20i + 5ix + -25i2) + 5ix * (4 + -5i + x) + -3x * (4 + -5i + x) + x2(4 + -5i + x)) = 0
(-16 + 20i + -4x + 20i + 5ix + -25i2 + (4 * 5ix + -5i * 5ix + x * 5ix) + -3x * (4 + -5i + x) + x2(4 + -5i + x)) = 0

Reorder the terms:
(-16 + 20i + -4x + 20i + 5ix + -25i2 + (20ix + 5ix2 + -25i2x) + -3x * (4 + -5i + x) + x2(4 + -5i + x)) = 0
(-16 + 20i + -4x + 20i + 5ix + -25i2 + (20ix + 5ix2 + -25i2x) + -3x * (4 + -5i + x) + x2(4 + -5i + x)) = 0
(-16 + 20i + -4x + 20i + 5ix + -25i2 + 20ix + 5ix2 + -25i2x + (4 * -3x + -5i * -3x + x * -3x) + x2(4 + -5i + x)) = 0

Reorder the terms:
(-16 + 20i + -4x + 20i + 5ix + -25i2 + 20ix + 5ix2 + -25i2x + (15ix + -12x + -3x2) + x2(4 + -5i + x)) = 0
(-16 + 20i + -4x + 20i + 5ix + -25i2 + 20ix + 5ix2 + -25i2x + (15ix + -12x + -3x2) + x2(4 + -5i + x)) = 0
(-16 + 20i + -4x + 20i + 5ix + -25i2 + 20ix + 5ix2 + -25i2x + 15ix + -12x + -3x2 + (4 * x2 + -5i * x2 + x * x2)) = 0

Reorder the terms:
(-16 + 20i + -4x + 20i + 5ix + -25i2 + 20ix + 5ix2 + -25i2x + 15ix + -12x + -3x2 + (-5ix2 + 4x2 + x3)) = 0
(-16 + 20i + -4x + 20i + 5ix + -25i2 + 20ix + 5ix2 + -25i2x + 15ix + -12x + -3x2 + (-5ix2 + 4x2 + x3)) = 0

Reorder the terms:
(-16 + 20i + 20i + 5ix + 20ix + 15ix + 5ix2 + -5ix2 + -25i2 + -25i2x + -4x + -12x + -3x2 + 4x2 + x3) = 0

Combine like terms: 20i + 20i = 40i
(-16 + 40i + 5ix + 20ix + 15ix + 5ix2 + -5ix2 + -25i2 + -25i2x + -4x + -12x + -3x2 + 4x2 + x3) = 0

Combine like terms: 5ix + 20ix = 25ix
(-16 + 40i + 25ix + 15ix + 5ix2 + -5ix2 + -25i2 + -25i2x + -4x + -12x + -3x2 + 4x2 + x3) = 0

Combine like terms: 25ix + 15ix = 40ix
(-16 + 40i + 40ix + 5ix2 + -5ix2 + -25i2 + -25i2x + -4x + -12x + -3x2 + 4x2 + x3) = 0

Combine like terms: 5ix2 + -5ix2 = 0
(-16 + 40i + 40ix + 0 + -25i2 + -25i2x + -4x + -12x + -3x2 + 4x2 + x3) = 0
(-16 + 40i + 40ix + -25i2 + -25i2x + -4x + -12x + -3x2 + 4x2 + x3) = 0

Combine like terms: -4x + -12x = -16x
(-16 + 40i + 40ix + -25i2 + -25i2x + -16x + -3x2 + 4x2 + x3) = 0

Combine like terms: -3x2 + 4x2 = 1x2
(-16 + 40i + 40ix + -25i2 + -25i2x + -16x + 1x2 + x3) = 0

Solving
-16 + 40i + 40ix + -25i2 + -25i2x + -16x + 1x2 + x3 = 0

Solving for variable 'i'.

The solution to this equation could not be determined.

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