0=(x+1)(x-5-3i)(x+5-3i)

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Solution for 0=(x+1)(x-5-3i)(x+5-3i) equation:

Simplifying
0 = (x + 1)(x + -5 + -3i)(x + 5 + -3i)

Reorder the terms:
0 = (1 + x)(x + -5 + -3i)(x + 5 + -3i)

Reorder the terms:
0 = (1 + x)(-5 + -3i + x)(x + 5 + -3i)

Reorder the terms:
0 = (1 + x)(-5 + -3i + x)(5 + -3i + x)

Multiply (1 + x) * (-5 + -3i + x)
0 = (1(-5 + -3i + x) + x(-5 + -3i + x))(5 + -3i + x)
0 = ((-5 * 1 + -3i * 1 + x * 1) + x(-5 + -3i + x))(5 + -3i + x)
0 = ((-5 + -3i + 1x) + x(-5 + -3i + x))(5 + -3i + x)
0 = (-5 + -3i + 1x + (-5 * x + -3i * x + x * x))(5 + -3i + x)

Reorder the terms:
0 = (-5 + -3i + 1x + (-3ix + -5x + x²))(5 + -3i + x)
0 = (-5 + -3i + 1x + (-3ix + -5x + x²))(5 + -3i + x)

Reorder the terms:
0 = (-5 + -3i + -3ix + 1x + -5x + x²)(5 + -3i + x)

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

Multiply (-5 + -3i + -3ix + -4x + x²) * (5 + -3i + x)
0 = (-5(5 + -3i + x) + -3i * (5 + -3i + x) + -3ix * (5 + -3i + x) + -4x * (5 + -3i + x) + x²(5 + -3i + x))
0 = ((5 * -5 + -3i * -5 + x * -5) + -3i * (5 + -3i + x) + -3ix * (5 + -3i + x) + -4x * (5 + -3i + x) + x²(5 + -3i + x))
0 = ((-25 + 15i + -5x) + -3i * (5 + -3i + x) + -3ix * (5 + -3i + x) + -4x * (5 + -3i + x) + x²(5 + -3i + x))
0 = (-25 + 15i + -5x + (5 * -3i + -3i * -3i + x * -3i) + -3ix * (5 + -3i + x) + -4x * (5 + -3i + x) + x²(5 + -3i + x))

Reorder the terms:
0 = (-25 + 15i + -5x + (-15i + -3ix + 9i²) + -3ix * (5 + -3i + x) + -4x * (5 + -3i + x) + x²(5 + -3i + x))
0 = (-25 + 15i + -5x + (-15i + -3ix + 9i²) + -3ix * (5 + -3i + x) + -4x * (5 + -3i + x) + x²(5 + -3i + x))
0 = (-25 + 15i + -5x + -15i + -3ix + 9i² + (5 * -3ix + -3i * -3ix + x * -3ix) + -4x * (5 + -3i + x) + x²(5 + -3i + x))

Reorder the terms:
0 = (-25 + 15i + -5x + -15i + -3ix + 9i² + (-15ix + -3ix² + 9i²x) + -4x * (5 + -3i + x) + x²(5 + -3i + x))
0 = (-25 + 15i + -5x + -15i + -3ix + 9i² + (-15ix + -3ix² + 9i²x) + -4x * (5 + -3i + x) + x²(5 + -3i + x))
0 = (-25 + 15i + -5x + -15i + -3ix + 9i² + -15ix + -3ix² + 9i²x + (5 * -4x + -3i * -4x + x * -4x) + x²(5 + -3i + x))

Reorder the terms:
0 = (-25 + 15i + -5x + -15i + -3ix + 9i² + -15ix + -3ix² + 9i²x + (12ix + -20x + -4x²) + x²(5 + -3i + x))
0 = (-25 + 15i + -5x + -15i + -3ix + 9i² + -15ix + -3ix² + 9i²x + (12ix + -20x + -4x²) + x²(5 + -3i + x))
0 = (-25 + 15i + -5x + -15i + -3ix + 9i² + -15ix + -3ix² + 9i²x + 12ix + -20x + -4x² + (5 * x² + -3i * x² + x * x²))

Reorder the terms:
0 = (-25 + 15i + -5x + -15i + -3ix + 9i² + -15ix + -3ix² + 9i²x + 12ix + -20x + -4x² + (-3ix² + 5x² + x³))
0 = (-25 + 15i + -5x + -15i + -3ix + 9i² + -15ix + -3ix² + 9i²x + 12ix + -20x + -4x² + (-3ix² + 5x² + x³))

Reorder the terms:
0 = (-25 + 15i + -15i + -3ix + -15ix + 12ix + -3ix² + -3ix² + 9i² + 9i²x + -5x + -20x + -4x² + 5x² + x³)

Combine like terms: 15i + -15i = 0
0 = (-25 + 0 + -3ix + -15ix + 12ix + -3ix² + -3ix² + 9i² + 9i²x + -5x + -20x + -4x² + 5x² + x³)
0 = (-25 + -3ix + -15ix + 12ix + -3ix² + -3ix² + 9i² + 9i²x + -5x + -20x + -4x² + 5x² + x³)

Combine like terms: -3ix + -15ix = -18ix
0 = (-25 + -18ix + 12ix + -3ix² + -3ix² + 9i² + 9i²x + -5x + -20x + -4x² + 5x² + x³)

Combine like terms: -18ix + 12ix = -6ix
0 = (-25 + -6ix + -3ix² + -3ix² + 9i² + 9i²x + -5x + -20x + -4x² + 5x² + x³)

Combine like terms: -3ix² + -3ix² = -6ix²
0 = (-25 + -6ix + -6ix² + 9i² + 9i²x + -5x + -20x + -4x² + 5x² + x³)

Combine like terms: -5x + -20x = -25x
0 = (-25 + -6ix + -6ix² + 9i² + 9i²x + -25x + -4x² + 5x² + x³)

Combine like terms: -4x² + 5x² = 1x²
0 = (-25 + -6ix + -6ix² + 9i² + 9i²x + -25x + 1x² + x³)

Solving
0 = -25 + -6ix + -6ix² + 9i² + 9i²x + -25x + 1x² + x³

Solving for variable 'i'.

Combine like terms: 0 + 25 = 25
25 + 6ix + 6ix² + -9i² + -9i²x + 25x + -1x² + -1x³ = -25 + -6ix + -6ix² + 9i² + 9i²x + -25x + 1x² + x³ + 25 + 6ix + 6ix² + -9i² + -9i²x + 25x + -1x² + -1x³

Reorder the terms:
25 + 6ix + 6ix² + -9i² + -9i²x + 25x + -1x² + -1x³ = -25 + 25 + -6ix + 6ix + -6ix² + 6ix² + 9i² + -9i² + 9i²x + -9i²x + -25x + 25x + 1x² + -1x² + x³ + -1x³

Combine like terms: -25 + 25 = 0
25 + 6ix + 6ix² + -9i² + -9i²x + 25x + -1x² + -1x³ = 0 + -6ix + 6ix + -6ix² + 6ix² + 9i² + -9i² + 9i²x + -9i²x + -25x + 25x + 1x² + -1x² + x³ + -1x³
25 + 6ix + 6ix² + -9i² + -9i²x + 25x + -1x² + -1x³ = -6ix + 6ix + -6ix² + 6ix² + 9i² + -9i² + 9i²x + -9i²x + -25x + 25x + 1x² + -1x² + x³ + -1x³

Combine like terms: -6ix + 6ix = 0
25 + 6ix + 6ix² + -9i² + -9i²x + 25x + -1x² + -1x³ = 0 + -6ix² + 6ix² + 9i² + -9i² + 9i²x + -9i²x + -25x + 25x + 1x² + -1x² + x³ + -1x³
25 + 6ix + 6ix² + -9i² + -9i²x + 25x + -1x² + -1x³ = -6ix² + 6ix² + 9i² + -9i² + 9i²x + -9i²x + -25x + 25x + 1x² + -1x² + x³ + -1x³

Combine like terms: -6ix² + 6ix² = 0
25 + 6ix + 6ix² + -9i² + -9i²x + 25x + -1x² + -1x³ = 0 + 9i² + -9i² + 9i²x + -9i²x + -25x + 25x + 1x² + -1x² + x³ + -1x³
25 + 6ix + 6ix² + -9i² + -9i²x + 25x + -1x² + -1x³ = 9i² + -9i² + 9i²x + -9i²x + -25x + 25x + 1x² + -1x² + x³ + -1x³

Combine like terms: 9i² + -9i² = 0
25 + 6ix + 6ix² + -9i² + -9i²x + 25x + -1x² + -1x³ = 0 + 9i²x + -9i²x + -25x + 25x + 1x² + -1x² + x³ + -1x³
25 + 6ix + 6ix² + -9i² + -9i²x + 25x + -1x² + -1x³ = 9i²x + -9i²x + -25x + 25x + 1x² + -1x² + x³ + -1x³

Combine like terms: 9i²x + -9i²x = 0
25 + 6ix + 6ix² + -9i² + -9i²x + 25x + -1x² + -1x³ = 0 + -25x + 25x + 1x² + -1x² + x³ + -1x³
25 + 6ix + 6ix² + -9i² + -9i²x + 25x + -1x² + -1x³ = -25x + 25x + 1x² + -1x² + x³ + -1x³

Combine like terms: -25x + 25x = 0
25 + 6ix + 6ix² + -9i² + -9i²x + 25x + -1x² + -1x³ = 0 + 1x² + -1x² + x³ + -1x³
25 + 6ix + 6ix² + -9i² + -9i²x + 25x + -1x² + -1x³ = 1x² + -1x² + x³ + -1x³

Combine like terms: 1x² + -1x² = 0
25 + 6ix + 6ix² + -9i² + -9i²x + 25x + -1x² + -1x³ = 0 + x³ + -1x³
25 + 6ix + 6ix² + -9i² + -9i²x + 25x + -1x² + -1x³ = x³ + -1x³

Combine like terms: x³ + -1x³ = 0
25 + 6ix + 6ix² + -9i² + -9i²x + 25x + -1x² + -1x³ = 0

The solution to this equation could not be determined.

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0=(x+1)(x-5-3i)(x+5-3i)

Simple and best practice solution for 0=(x+1)(x-5-3i)(x+5-3i) equation. Check how easy it is, and learn it for the future. Our solution is simple, and easy to understand, so don`t hesitate to use it as a solution of your homework.

Solution for 0=(x+1)(x-5-3i)(x+5-3i) equation:

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