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

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


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

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

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

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

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

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

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

Combine like terms: 1x + 5x = 6x
(5 + -4i + -4ix + 6x + x2)(-5 + 4i + x) = 0

Multiply (5 + -4i + -4ix + 6x + x2) * (-5 + 4i + x)
(5(-5 + 4i + x) + -4i * (-5 + 4i + x) + -4ix * (-5 + 4i + x) + 6x * (-5 + 4i + x) + x2(-5 + 4i + x)) = 0
((-5 * 5 + 4i * 5 + x * 5) + -4i * (-5 + 4i + x) + -4ix * (-5 + 4i + x) + 6x * (-5 + 4i + x) + x2(-5 + 4i + x)) = 0
((-25 + 20i + 5x) + -4i * (-5 + 4i + x) + -4ix * (-5 + 4i + x) + 6x * (-5 + 4i + x) + x2(-5 + 4i + x)) = 0
(-25 + 20i + 5x + (-5 * -4i + 4i * -4i + x * -4i) + -4ix * (-5 + 4i + x) + 6x * (-5 + 4i + x) + x2(-5 + 4i + x)) = 0

Reorder the terms:
(-25 + 20i + 5x + (20i + -4ix + -16i2) + -4ix * (-5 + 4i + x) + 6x * (-5 + 4i + x) + x2(-5 + 4i + x)) = 0
(-25 + 20i + 5x + (20i + -4ix + -16i2) + -4ix * (-5 + 4i + x) + 6x * (-5 + 4i + x) + x2(-5 + 4i + x)) = 0
(-25 + 20i + 5x + 20i + -4ix + -16i2 + (-5 * -4ix + 4i * -4ix + x * -4ix) + 6x * (-5 + 4i + x) + x2(-5 + 4i + x)) = 0

Reorder the terms:
(-25 + 20i + 5x + 20i + -4ix + -16i2 + (20ix + -4ix2 + -16i2x) + 6x * (-5 + 4i + x) + x2(-5 + 4i + x)) = 0
(-25 + 20i + 5x + 20i + -4ix + -16i2 + (20ix + -4ix2 + -16i2x) + 6x * (-5 + 4i + x) + x2(-5 + 4i + x)) = 0
(-25 + 20i + 5x + 20i + -4ix + -16i2 + 20ix + -4ix2 + -16i2x + (-5 * 6x + 4i * 6x + x * 6x) + x2(-5 + 4i + x)) = 0

Reorder the terms:
(-25 + 20i + 5x + 20i + -4ix + -16i2 + 20ix + -4ix2 + -16i2x + (24ix + -30x + 6x2) + x2(-5 + 4i + x)) = 0
(-25 + 20i + 5x + 20i + -4ix + -16i2 + 20ix + -4ix2 + -16i2x + (24ix + -30x + 6x2) + x2(-5 + 4i + x)) = 0
(-25 + 20i + 5x + 20i + -4ix + -16i2 + 20ix + -4ix2 + -16i2x + 24ix + -30x + 6x2 + (-5 * x2 + 4i * x2 + x * x2)) = 0

Reorder the terms:
(-25 + 20i + 5x + 20i + -4ix + -16i2 + 20ix + -4ix2 + -16i2x + 24ix + -30x + 6x2 + (4ix2 + -5x2 + x3)) = 0
(-25 + 20i + 5x + 20i + -4ix + -16i2 + 20ix + -4ix2 + -16i2x + 24ix + -30x + 6x2 + (4ix2 + -5x2 + x3)) = 0

Reorder the terms:
(-25 + 20i + 20i + -4ix + 20ix + 24ix + -4ix2 + 4ix2 + -16i2 + -16i2x + 5x + -30x + 6x2 + -5x2 + x3) = 0

Combine like terms: 20i + 20i = 40i
(-25 + 40i + -4ix + 20ix + 24ix + -4ix2 + 4ix2 + -16i2 + -16i2x + 5x + -30x + 6x2 + -5x2 + x3) = 0

Combine like terms: -4ix + 20ix = 16ix
(-25 + 40i + 16ix + 24ix + -4ix2 + 4ix2 + -16i2 + -16i2x + 5x + -30x + 6x2 + -5x2 + x3) = 0

Combine like terms: 16ix + 24ix = 40ix
(-25 + 40i + 40ix + -4ix2 + 4ix2 + -16i2 + -16i2x + 5x + -30x + 6x2 + -5x2 + x3) = 0

Combine like terms: -4ix2 + 4ix2 = 0
(-25 + 40i + 40ix + 0 + -16i2 + -16i2x + 5x + -30x + 6x2 + -5x2 + x3) = 0
(-25 + 40i + 40ix + -16i2 + -16i2x + 5x + -30x + 6x2 + -5x2 + x3) = 0

Combine like terms: 5x + -30x = -25x
(-25 + 40i + 40ix + -16i2 + -16i2x + -25x + 6x2 + -5x2 + x3) = 0

Combine like terms: 6x2 + -5x2 = 1x2
(-25 + 40i + 40ix + -16i2 + -16i2x + -25x + 1x2 + x3) = 0

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

Solving for variable 'i'.

The solution to this equation could not be determined.

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