(x+5)(x+4-3i)(x-4+3i)=0

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Solution for (x+5)(x+4-3i)(x-4+3i)=0 equation: 


Simplifying
(x + 5)(x + 4 + -3i)(x + -4 + 3i) = 0

Reorder the terms:
(5 + x)(x + 4 + -3i)(x + -4 + 3i) = 0

Reorder the terms:
(5 + x)(4 + -3i + x)(x + -4 + 3i) = 0

Reorder the terms:
(5 + x)(4 + -3i + x)(-4 + 3i + x) = 0

Multiply (5 + x) * (4 + -3i + x)
(5(4 + -3i + x) + x(4 + -3i + x))(-4 + 3i + x) = 0
((4 * 5 + -3i * 5 + x * 5) + x(4 + -3i + x))(-4 + 3i + x) = 0
((20 + -15i + 5x) + x(4 + -3i + x))(-4 + 3i + x) = 0
(20 + -15i + 5x + (4 * x + -3i * x + x * x))(-4 + 3i + x) = 0

Reorder the terms:
(20 + -15i + 5x + (-3ix + 4x + x2))(-4 + 3i + x) = 0
(20 + -15i + 5x + (-3ix + 4x + x2))(-4 + 3i + x) = 0

Reorder the terms:
(20 + -15i + -3ix + 5x + 4x + x2)(-4 + 3i + x) = 0

Combine like terms: 5x + 4x = 9x
(20 + -15i + -3ix + 9x + x2)(-4 + 3i + x) = 0

Multiply (20 + -15i + -3ix + 9x + x2) * (-4 + 3i + x)
(20(-4 + 3i + x) + -15i * (-4 + 3i + x) + -3ix * (-4 + 3i + x) + 9x * (-4 + 3i + x) + x2(-4 + 3i + x)) = 0
((-4 * 20 + 3i * 20 + x * 20) + -15i * (-4 + 3i + x) + -3ix * (-4 + 3i + x) + 9x * (-4 + 3i + x) + x2(-4 + 3i + x)) = 0
((-80 + 60i + 20x) + -15i * (-4 + 3i + x) + -3ix * (-4 + 3i + x) + 9x * (-4 + 3i + x) + x2(-4 + 3i + x)) = 0
(-80 + 60i + 20x + (-4 * -15i + 3i * -15i + x * -15i) + -3ix * (-4 + 3i + x) + 9x * (-4 + 3i + x) + x2(-4 + 3i + x)) = 0

Reorder the terms:
(-80 + 60i + 20x + (60i + -15ix + -45i2) + -3ix * (-4 + 3i + x) + 9x * (-4 + 3i + x) + x2(-4 + 3i + x)) = 0
(-80 + 60i + 20x + (60i + -15ix + -45i2) + -3ix * (-4 + 3i + x) + 9x * (-4 + 3i + x) + x2(-4 + 3i + x)) = 0
(-80 + 60i + 20x + 60i + -15ix + -45i2 + (-4 * -3ix + 3i * -3ix + x * -3ix) + 9x * (-4 + 3i + x) + x2(-4 + 3i + x)) = 0

Reorder the terms:
(-80 + 60i + 20x + 60i + -15ix + -45i2 + (12ix + -3ix2 + -9i2x) + 9x * (-4 + 3i + x) + x2(-4 + 3i + x)) = 0
(-80 + 60i + 20x + 60i + -15ix + -45i2 + (12ix + -3ix2 + -9i2x) + 9x * (-4 + 3i + x) + x2(-4 + 3i + x)) = 0
(-80 + 60i + 20x + 60i + -15ix + -45i2 + 12ix + -3ix2 + -9i2x + (-4 * 9x + 3i * 9x + x * 9x) + x2(-4 + 3i + x)) = 0

Reorder the terms:
(-80 + 60i + 20x + 60i + -15ix + -45i2 + 12ix + -3ix2 + -9i2x + (27ix + -36x + 9x2) + x2(-4 + 3i + x)) = 0
(-80 + 60i + 20x + 60i + -15ix + -45i2 + 12ix + -3ix2 + -9i2x + (27ix + -36x + 9x2) + x2(-4 + 3i + x)) = 0
(-80 + 60i + 20x + 60i + -15ix + -45i2 + 12ix + -3ix2 + -9i2x + 27ix + -36x + 9x2 + (-4 * x2 + 3i * x2 + x * x2)) = 0

Reorder the terms:
(-80 + 60i + 20x + 60i + -15ix + -45i2 + 12ix + -3ix2 + -9i2x + 27ix + -36x + 9x2 + (3ix2 + -4x2 + x3)) = 0
(-80 + 60i + 20x + 60i + -15ix + -45i2 + 12ix + -3ix2 + -9i2x + 27ix + -36x + 9x2 + (3ix2 + -4x2 + x3)) = 0

Reorder the terms:
(-80 + 60i + 60i + -15ix + 12ix + 27ix + -3ix2 + 3ix2 + -45i2 + -9i2x + 20x + -36x + 9x2 + -4x2 + x3) = 0

Combine like terms: 60i + 60i = 120i
(-80 + 120i + -15ix + 12ix + 27ix + -3ix2 + 3ix2 + -45i2 + -9i2x + 20x + -36x + 9x2 + -4x2 + x3) = 0

Combine like terms: -15ix + 12ix = -3ix
(-80 + 120i + -3ix + 27ix + -3ix2 + 3ix2 + -45i2 + -9i2x + 20x + -36x + 9x2 + -4x2 + x3) = 0

Combine like terms: -3ix + 27ix = 24ix
(-80 + 120i + 24ix + -3ix2 + 3ix2 + -45i2 + -9i2x + 20x + -36x + 9x2 + -4x2 + x3) = 0

Combine like terms: -3ix2 + 3ix2 = 0
(-80 + 120i + 24ix + 0 + -45i2 + -9i2x + 20x + -36x + 9x2 + -4x2 + x3) = 0
(-80 + 120i + 24ix + -45i2 + -9i2x + 20x + -36x + 9x2 + -4x2 + x3) = 0

Combine like terms: 20x + -36x = -16x
(-80 + 120i + 24ix + -45i2 + -9i2x + -16x + 9x2 + -4x2 + x3) = 0

Combine like terms: 9x2 + -4x2 = 5x2
(-80 + 120i + 24ix + -45i2 + -9i2x + -16x + 5x2 + x3) = 0

Solving
-80 + 120i + 24ix + -45i2 + -9i2x + -16x + 5x2 + x3 = 0

Solving for variable 'i'.

The solution to this equation could not be determined.

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