0=(x-2)(x-i)(x+i)(x-1-i)(x+1+i)

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Solution for 0=(x-2)(x-i)(x+i)(x-1-i)(x+1+i) equation:

Simplifying
0 = (x + -2)(x + -1i)(x + i)(x + -1 + -1i)(x + 1 + i)

Reorder the terms:
0 = (-2 + x)(x + -1i)(x + i)(x + -1 + -1i)(x + 1 + i)

Reorder the terms:
0 = (-2 + x)(-1i + x)(x + i)(x + -1 + -1i)(x + 1 + i)

Reorder the terms:
0 = (-2 + x)(-1i + x)(i + x)(x + -1 + -1i)(x + 1 + i)

Reorder the terms:
0 = (-2 + x)(-1i + x)(i + x)(-1 + -1i + x)(x + 1 + i)

Reorder the terms:
0 = (-2 + x)(-1i + x)(i + x)(-1 + -1i + x)(1 + i + x)

Multiply (-2 + x) * (-1i + x)
0 = (-2(-1i + x) + x(-1i + x))(i + x)(-1 + -1i + x)(1 + i + x)
0 = ((-1i * -2 + x * -2) + x(-1i + x))(i + x)(-1 + -1i + x)(1 + i + x)
0 = ((2i + -2x) + x(-1i + x))(i + x)(-1 + -1i + x)(1 + i + x)
0 = (2i + -2x + (-1i * x + x * x))(i + x)(-1 + -1i + x)(1 + i + x)
0 = (2i + -2x + (-1ix + x²))(i + x)(-1 + -1i + x)(1 + i + x)

Reorder the terms:
0 = (2i + -1ix + -2x + x²)(i + x)(-1 + -1i + x)(1 + i + x)
0 = (2i + -1ix + -2x + x²)(i + x)(-1 + -1i + x)(1 + i + x)

Multiply (2i + -1ix + -2x + x²) * (i + x)
0 = (2i * (i + x) + -1ix * (i + x) + -2x * (i + x) + x²(i + x))(-1 + -1i + x)(1 + i + x)
0 = ((i * 2i + x * 2i) + -1ix * (i + x) + -2x * (i + x) + x²(i + x))(-1 + -1i + x)(1 + i + x)

Reorder the terms:
0 = ((2ix + 2i²) + -1ix * (i + x) + -2x * (i + x) + x²(i + x))(-1 + -1i + x)(1 + i + x)
0 = ((2ix + 2i²) + -1ix * (i + x) + -2x * (i + x) + x²(i + x))(-1 + -1i + x)(1 + i + x)
0 = (2ix + 2i² + (i * -1ix + x * -1ix) + -2x * (i + x) + x²(i + x))(-1 + -1i + x)(1 + i + x)

Reorder the terms:
0 = (2ix + 2i² + (-1ix² + -1i²x) + -2x * (i + x) + x²(i + x))(-1 + -1i + x)(1 + i + x)
0 = (2ix + 2i² + (-1ix² + -1i²x) + -2x * (i + x) + x²(i + x))(-1 + -1i + x)(1 + i + x)
0 = (2ix + 2i² + -1ix² + -1i²x + (i * -2x + x * -2x) + x²(i + x))(-1 + -1i + x)(1 + i + x)
0 = (2ix + 2i² + -1ix² + -1i²x + (-2ix + -2x²) + x²(i + x))(-1 + -1i + x)(1 + i + x)
0 = (2ix + 2i² + -1ix² + -1i²x + -2ix + -2x² + (i * x² + x * x²))(-1 + -1i + x)(1 + i + x)
0 = (2ix + 2i² + -1ix² + -1i²x + -2ix + -2x² + (ix² + x³))(-1 + -1i + x)(1 + i + x)

Reorder the terms:
0 = (2ix + -2ix + -1ix² + ix² + 2i² + -1i²x + -2x² + x³)(-1 + -1i + x)(1 + i + x)

Combine like terms: 2ix + -2ix = 0
0 = (0 + -1ix² + ix² + 2i² + -1i²x + -2x² + x³)(-1 + -1i + x)(1 + i + x)
0 = (-1ix² + ix² + 2i² + -1i²x + -2x² + x³)(-1 + -1i + x)(1 + i + x)

Combine like terms: -1ix² + ix² = 0
0 = (0 + 2i² + -1i²x + -2x² + x³)(-1 + -1i + x)(1 + i + x)
0 = (2i² + -1i²x + -2x² + x³)(-1 + -1i + x)(1 + i + x)

Multiply (2i² + -1i²x + -2x² + x³) * (-1 + -1i + x)
0 = (2i² * (-1 + -1i + x) + -1i²x * (-1 + -1i + x) + -2x² * (-1 + -1i + x) + x³(-1 + -1i + x))(1 + i + x)
0 = ((-1 * 2i² + -1i * 2i² + x * 2i²) + -1i²x * (-1 + -1i + x) + -2x² * (-1 + -1i + x) + x³(-1 + -1i + x))(1 + i + x)

Reorder the terms:
0 = ((-2i² + 2i²x + -2i³) + -1i²x * (-1 + -1i + x) + -2x² * (-1 + -1i + x) + x³(-1 + -1i + x))(1 + i + x)
0 = ((-2i² + 2i²x + -2i³) + -1i²x * (-1 + -1i + x) + -2x² * (-1 + -1i + x) + x³(-1 + -1i + x))(1 + i + x)
0 = (-2i² + 2i²x + -2i³ + (-1 * -1i²x + -1i * -1i²x + x * -1i²x) + -2x² * (-1 + -1i + x) + x³(-1 + -1i + x))(1 + i + x)

Reorder the terms:
0 = (-2i² + 2i²x + -2i³ + (1i²x + -1i²x² + 1i³x) + -2x² * (-1 + -1i + x) + x³(-1 + -1i + x))(1 + i + x)
0 = (-2i² + 2i²x + -2i³ + (1i²x + -1i²x² + 1i³x) + -2x² * (-1 + -1i + x) + x³(-1 + -1i + x))(1 + i + x)
0 = (-2i² + 2i²x + -2i³ + 1i²x + -1i²x² + 1i³x + (-1 * -2x² + -1i * -2x² + x * -2x²) + x³(-1 + -1i + x))(1 + i + x)

Reorder the terms:
0 = (-2i² + 2i²x + -2i³ + 1i²x + -1i²x² + 1i³x + (2ix² + 2x² + -2x³) + x³(-1 + -1i + x))(1 + i + x)
0 = (-2i² + 2i²x + -2i³ + 1i²x + -1i²x² + 1i³x + (2ix² + 2x² + -2x³) + x³(-1 + -1i + x))(1 + i + x)
0 = (-2i² + 2i²x + -2i³ + 1i²x + -1i²x² + 1i³x + 2ix² + 2x² + -2x³ + (-1 * x³ + -1i * x³ + x * x³))(1 + i + x)

Reorder the terms:
0 = (-2i² + 2i²x + -2i³ + 1i²x + -1i²x² + 1i³x + 2ix² + 2x² + -2x³ + (-1ix³ + -1x³ + x⁴))(1 + i + x)
0 = (-2i² + 2i²x + -2i³ + 1i²x + -1i²x² + 1i³x + 2ix² + 2x² + -2x³ + (-1ix³ + -1x³ + x⁴))(1 + i + x)

Reorder the terms:
0 = (2ix² + -1ix³ + -2i² + 2i²x + 1i²x + -1i²x² + -2i³ + 1i³x + 2x² + -2x³ + -1x³ + x⁴)(1 + i + x)

Combine like terms: 2i²x + 1i²x = 3i²x
0 = (2ix² + -1ix³ + -2i² + 3i²x + -1i²x² + -2i³ + 1i³x + 2x² + -2x³ + -1x³ + x⁴)(1 + i + x)

Combine like terms: -2x³ + -1x³ = -3x³
0 = (2ix² + -1ix³ + -2i² + 3i²x + -1i²x² + -2i³ + 1i³x + 2x² + -3x³ + x⁴)(1 + i + x)

Multiply (2ix² + -1ix³ + -2i² + 3i²x + -1i²x² + -2i³ + 1i³x + 2x² + -3x³ + x⁴) * (1 + i + x)
0 = (2ix² * (1 + i + x) + -1ix³ * (1 + i + x) + -2i² * (1 + i + x) + 3i²x * (1 + i + x) + -1i²x² * (1 + i + x) + -2i³ * (1 + i + x) + 1i³x * (1 + i + x) + 2x² * (1 + i + x) + -3x³ * (1 + i + x) + x⁴(1 + i + x))
0 = ((1 * 2ix² + i * 2ix² + x * 2ix²) + -1ix³ * (1 + i + x) + -2i² * (1 + i + x) + 3i²x * (1 + i + x) + -1i²x² * (1 + i + x) + -2i³ * (1 + i + x) + 1i³x * (1 + i + x) + 2x² * (1 + i + x) + -3x³ * (1 + i + x) + x⁴(1 + i + x))

Reorder the terms:
0 = ((2ix² + 2ix³ + 2i²x²) + -1ix³ * (1 + i + x) + -2i² * (1 + i + x) + 3i²x * (1 + i + x) + -1i²x² * (1 + i + x) + -2i³ * (1 + i + x) + 1i³x * (1 + i + x) + 2x² * (1 + i + x) + -3x³ * (1 + i + x) + x⁴(1 + i + x))
0 = ((2ix² + 2ix³ + 2i²x²) + -1ix³ * (1 + i + x) + -2i² * (1 + i + x) + 3i²x * (1 + i + x) + -1i²x² * (1 + i + x) + -2i³ * (1 + i + x) + 1i³x * (1 + i + x) + 2x² * (1 + i + x) + -3x³ * (1 + i + x) + x⁴(1 + i + x))
0 = (2ix² + 2ix³ + 2i²x² + (1 * -1ix³ + i * -1ix³ + x * -1ix³) + -2i² * (1 + i + x) + 3i²x * (1 + i + x) + -1i²x² * (1 + i + x) + -2i³ * (1 + i + x) + 1i³x * (1 + i + x) + 2x² * (1 + i + x) + -3x³ * (1 + i + x) + x⁴(1 + i + x))

Reorder the terms:
0 = (2ix² + 2ix³ + 2i²x² + (-1ix³ + -1ix⁴ + -1i²x³) + -2i² * (1 + i + x) + 3i²x * (1 + i + x) + -1i²x² * (1 + i + x) + -2i³ * (1 + i + x) + 1i³x * (1 + i + x) + 2x² * (1 + i + x) + -3x³ * (1 + i + x) + x⁴(1 + i + x))
0 = (2ix² + 2ix³ + 2i²x² + (-1ix³ + -1ix⁴ + -1i²x³) + -2i² * (1 + i + x) + 3i²x * (1 + i + x) + -1i²x² * (1 + i + x) + -2i³ * (1 + i + x) + 1i³x * (1 + i + x) + 2x² * (1 + i + x) + -3x³ * (1 + i + x) + x⁴(1 + i + x))
0 = (2ix² + 2ix³ + 2i²x² + -1ix³ + -1ix⁴ + -1i²x³ + (1 * -2i² + i * -2i² + x * -2i²) + 3i²x * (1 + i + x) + -1i²x² * (1 + i + x) + -2i³ * (1 + i + x) + 1i³x * (1 + i + x) + 2x² * (1 + i + x) + -3x³ * (1 + i + x) + x⁴(1 + i + x))

Reorder the terms:
0 = (2ix² + 2ix³ + 2i²x² + -1ix³ + -1ix⁴ + -1i²x³ + (-2i² + -2i²x + -2i³) + 3i²x * (1 + i + x) + -1i²x² * (1 + i + x) + -2i³ * (1 + i + x) + 1i³x * (1 + i + x) + 2x² * (1 + i + x) + -3x³ * (1 + i + x) + x⁴(1 + i + x))
0 = (2ix² + 2ix³ + 2i²x² + -1ix³ + -1ix⁴ + -1i²x³ + (-2i² + -2i²x + -2i³) + 3i²x * (1 + i + x) + -1i²x² * (1 + i + x) + -2i³ * (1 + i + x) + 1i³x * (1 + i + x) + 2x² * (1 + i + x) + -3x³ * (1 + i + x) + x⁴(1 + i + x))
0 = (2ix² + 2ix³ + 2i²x² + -1ix³ + -1ix⁴ + -1i²x³ + -2i² + -2i²x + -2i³ + (1 * 3i²x + i * 3i²x + x * 3i²x) + -1i²x² * (1 + i + x) + -2i³ * (1 + i + x) + 1i³x * (1 + i + x) + 2x² * (1 + i + x) + -3x³ * (1 + i + x) + x⁴(1 + i + x))

Reorder the terms:
0 = (2ix² + 2ix³ + 2i²x² + -1ix³ + -1ix⁴ + -1i²x³ + -2i² + -2i²x + -2i³ + (3i²x + 3i²x² + 3i³x) + -1i²x² * (1 + i + x) + -2i³ * (1 + i + x) + 1i³x * (1 + i + x) + 2x² * (1 + i + x) + -3x³ * (1 + i + x) + x⁴(1 + i + x))
0 = (2ix² + 2ix³ + 2i²x² + -1ix³ + -1ix⁴ + -1i²x³ + -2i² + -2i²x + -2i³ + (3i²x + 3i²x² + 3i³x) + -1i²x² * (1 + i + x) + -2i³ * (1 + i + x) + 1i³x * (1 + i + x) + 2x² * (1 + i + x) + -3x³ * (1 + i + x) + x⁴(1 + i + x))
0 = (2ix² + 2ix³ + 2i²x² + -1ix³ + -1ix⁴ + -1i²x³ + -2i² + -2i²x + -2i³ + 3i²x + 3i²x² + 3i³x + (1 * -1i²x² + i * -1i²x² + x * -1i²x²) + -2i³ * (1 + i + x) + 1i³x * (1 + i + x) + 2x² * (1 + i + x) + -3x³ * (1 + i + x) + x⁴(1 + i + x))

Reorder the terms:
0 = (2ix² + 2ix³ + 2i²x² + -1ix³ + -1ix⁴ + -1i²x³ + -2i² + -2i²x + -2i³ + 3i²x + 3i²x² + 3i³x + (-1i²x² + -1i²x³ + -1i³x²) + -2i³ * (1 + i + x) + 1i³x * (1 + i + x) + 2x² * (1 + i + x) + -3x³ * (1 + i + x) + x⁴(1 + i + x))
0 = (2ix² + 2ix³ + 2i²x² + -1ix³ + -1ix⁴ + -1i²x³ + -2i² + -2i²x + -2i³ + 3i²x + 3i²x² + 3i³x + (-1i²x² + -1i²x³ + -1i³x²) + -2i³ * (1 + i + x) + 1i³x * (1 + i + x) + 2x² * (1 + i + x) + -3x³ * (1 + i + x) + x⁴(1 + i + x))
0 = (2ix² + 2ix³ + 2i²x² + -1ix³ + -1ix⁴ + -1i²x³ + -2i² + -2i²x + -2i³ + 3i²x + 3i²x² + 3i³x + -1i²x² + -1i²x³ + -1i³x² + (1 * -2i³ + i * -2i³ + x * -2i³) + 1i³x * (1 + i + x) + 2x² * (1 + i + x) + -3x³ * (1 + i + x) + x⁴(1 + i + x))

Reorder the terms:
0 = (2ix² + 2ix³ + 2i²x² + -1ix³ + -1ix⁴ + -1i²x³ + -2i² + -2i²x + -2i³ + 3i²x + 3i²x² + 3i³x + -1i²x² + -1i²x³ + -1i³x² + (-2i³ + -2i³x + -2i⁴) + 1i³x * (1 + i + x) + 2x² * (1 + i + x) + -3x³ * (1 + i + x) + x⁴(1 + i + x))
0 = (2ix² + 2ix³ + 2i²x² + -1ix³ + -1ix⁴ + -1i²x³ + -2i² + -2i²x + -2i³ + 3i²x + 3i²x² + 3i³x + -1i²x² + -1i²x³ + -1i³x² + (-2i³ + -2i³x + -2i⁴) + 1i³x * (1 + i + x) + 2x² * (1 + i + x) + -3x³ * (1 + i + x) + x⁴(1 + i + x))
0 = (2ix² + 2ix³ + 2i²x² + -1ix³ + -1ix⁴ + -1i²x³ + -2i² + -2i²x + -2i³ + 3i²x + 3i²x² + 3i³x + -1i²x² + -1i²x³ + -1i³x² + -2i³ + -2i³x + -2i⁴ + (1 * 1i³x + i * 1i³x + x * 1i³x) + 2x² * (1 + i + x) + -3x³ * (1 + i + x) + x⁴(1 + i + x))

Reorder the terms:
0 = (2ix² + 2ix³ + 2i²x² + -1ix³ + -1ix⁴ + -1i²x³ + -2i² + -2i²x + -2i³ + 3i²x + 3i²x² + 3i³x + -1i²x² + -1i²x³ + -1i³x² + -2i³ + -2i³x + -2i⁴ + (1i³x + 1i³x² + 1i⁴x) + 2x² * (1 + i + x) + -3x³ * (1 + i + x) + x⁴(1 + i + x))
0 = (2ix² + 2ix³ + 2i²x² + -1ix³ + -1ix⁴ + -1i²x³ + -2i² + -2i²x + -2i³ + 3i²x + 3i²x² + 3i³x + -1i²x² + -1i²x³ + -1i³x² + -2i³ + -2i³x + -2i⁴ + (1i³x + 1i³x² + 1i⁴x) + 2x² * (1 + i + x) + -3x³ * (1 + i + x) + x⁴(1 + i + x))
0 = (2ix² + 2ix³ + 2i²x² + -1ix³ + -1ix⁴ + -1i²x³ + -2i² + -2i²x + -2i³ + 3i²x + 3i²x² + 3i³x + -1i²x² + -1i²x³ + -1i³x² + -2i³ + -2i³x + -2i⁴ + 1i³x + 1i³x² + 1i⁴x + (1 * 2x² + i * 2x² + x * 2x²) + -3x³ * (1 + i + x) + x⁴(1 + i + x))

Reorder the terms:
0 = (2ix² + 2ix³ + 2i²x² + -1ix³ + -1ix⁴ + -1i²x³ + -2i² + -2i²x + -2i³ + 3i²x + 3i²x² + 3i³x + -1i²x² + -1i²x³ + -1i³x² + -2i³ + -2i³x + -2i⁴ + 1i³x + 1i³x² + 1i⁴x + (2ix² + 2x² + 2x³) + -3x³ * (1 + i + x) + x⁴(1 + i + x))
0 = (2ix² + 2ix³ + 2i²x² + -1ix³ + -1ix⁴ + -1i²x³ + -2i² + -2i²x + -2i³ + 3i²x + 3i²x² + 3i³x + -1i²x² + -1i²x³ + -1i³x² + -2i³ + -2i³x + -2i⁴ + 1i³x + 1i³x² + 1i⁴x + (2ix² + 2x² + 2x³) + -3x³ * (1 + i + x) + x⁴(1 + i + x))
0 = (2ix² + 2ix³ + 2i²x² + -1ix³ + -1ix⁴ + -1i²x³ + -2i² + -2i²x + -2i³ + 3i²x + 3i²x² + 3i³x + -1i²x² + -1i²x³ + -1i³x² + -2i³ + -2i³x + -2i⁴ + 1i³x + 1i³x² + 1i⁴x + 2ix² + 2x² + 2x³ + (1 * -3x³ + i * -3x³ + x * -3x³) + x⁴(1 + i + x))

Reorder the terms:
0 = (2ix² + 2ix³ + 2i²x² + -1ix³ + -1ix⁴ + -1i²x³ + -2i² + -2i²x + -2i³ + 3i²x + 3i²x² + 3i³x + -1i²x² + -1i²x³ + -1i³x² + -2i³ + -2i³x + -2i⁴ + 1i³x + 1i³x² + 1i⁴x + 2ix² + 2x² + 2x³ + (-3ix³ + -3x³ + -3x⁴) + x⁴(1 + i + x))
0 = (2ix² + 2ix³ + 2i²x² + -1ix³ + -1ix⁴ + -1i²x³ + -2i² + -2i²x + -2i³ + 3i²x + 3i²x² + 3i³x + -1i²x² + -1i²x³ + -1i³x² + -2i³ + -2i³x + -2i⁴ + 1i³x + 1i³x² + 1i⁴x + 2ix² + 2x² + 2x³ + (-3ix³ + -3x³ + -3x⁴) + x⁴(1 + i + x))
0 = (2ix² + 2ix³ + 2i²x² + -1ix³ + -1ix⁴ + -1i²x³ + -2i² + -2i²x + -2i³ + 3i²x + 3i²x² + 3i³x + -1i²x² + -1i²x³ + -1i³x² + -2i³ + -2i³x + -2i⁴ + 1i³x + 1i³x² + 1i⁴x + 2ix² + 2x² + 2x³ + -3ix³ + -3x³ + -3x⁴ + (1 * x⁴ + i * x⁴ + x * x⁴))

Reorder the terms:
0 = (2ix² + 2ix³ + 2i²x² + -1ix³ + -1ix⁴ + -1i²x³ + -2i² + -2i²x + -2i³ + 3i²x + 3i²x² + 3i³x + -1i²x² + -1i²x³ + -1i³x² + -2i³ + -2i³x + -2i⁴ + 1i³x + 1i³x² + 1i⁴x + 2ix² + 2x² + 2x³ + -3ix³ + -3x³ + -3x⁴ + (ix⁴ + 1x⁴ + x⁵))
0 = (2ix² + 2ix³ + 2i²x² + -1ix³ + -1ix⁴ + -1i²x³ + -2i² + -2i²x + -2i³ + 3i²x + 3i²x² + 3i³x + -1i²x² + -1i²x³ + -1i³x² + -2i³ + -2i³x + -2i⁴ + 1i³x + 1i³x² + 1i⁴x + 2ix² + 2x² + 2x³ + -3ix³ + -3x³ + -3x⁴ + (ix⁴ + 1x⁴ + x⁵))

Reorder the terms:
0 = (2ix² + 2ix² + 2ix³ + -1ix³ + -3ix³ + -1ix⁴ + ix⁴ + -2i² + -2i²x + 3i²x + 2i²x² + 3i²x² + -1i²x² + -1i²x³ + -1i²x³ + -2i³ + -2i³ + 3i³x + -2i³x + 1i³x + -1i³x² + 1i³x² + -2i⁴ + 1i⁴x + 2x² + 2x³ + -3x³ + -3x⁴ + 1x⁴ + x⁵)

Combine like terms: 2ix² + 2ix² = 4ix²
0 = (4ix² + 2ix³ + -1ix³ + -3ix³ + -1ix⁴ + ix⁴ + -2i² + -2i²x + 3i²x + 2i²x² + 3i²x² + -1i²x² + -1i²x³ + -1i²x³ + -2i³ + -2i³ + 3i³x + -2i³x + 1i³x + -1i³x² + 1i³x² + -2i⁴ + 1i⁴x + 2x² + 2x³ + -3x³ + -3x⁴ + 1x⁴ + x⁵)

Combine like terms: 2ix³ + -1ix³ = 1ix³
0 = (4ix² + 1ix³ + -3ix³ + -1ix⁴ + ix⁴ + -2i² + -2i²x + 3i²x + 2i²x² + 3i²x² + -1i²x² + -1i²x³ + -1i²x³ + -2i³ + -2i³ + 3i³x + -2i³x + 1i³x + -1i³x² + 1i³x² + -2i⁴ + 1i⁴x + 2x² + 2x³ + -3x³ + -3x⁴ + 1x⁴ + x⁵)

Combine like terms: 1ix³ + -3ix³ = -2ix³
0 = (4ix² + -2ix³ + -1ix⁴ + ix⁴ + -2i² + -2i²x + 3i²x + 2i²x² + 3i²x² + -1i²x² + -1i²x³ + -1i²x³ + -2i³ + -2i³ + 3i³x + -2i³x + 1i³x + -1i³x² + 1i³x² + -2i⁴ + 1i⁴x + 2x² + 2x³ + -3x³ + -3x⁴ + 1x⁴ + x⁵)

Combine like terms: -1ix⁴ + ix⁴ = 0
0 = (4ix² + -2ix³ + 0 + -2i² + -2i²x + 3i²x + 2i²x² + 3i²x² + -1i²x² + -1i²x³ + -1i²x³ + -2i³ + -2i³ + 3i³x + -2i³x + 1i³x + -1i³x² + 1i³x² + -2i⁴ + 1i⁴x + 2x² + 2x³ + -3x³ + -3x⁴ + 1x⁴ + x⁵)
0 = (4ix² + -2ix³ + -2i² + -2i²x + 3i²x + 2i²x² + 3i²x² + -1i²x² + -1i²x³ + -1i²x³ + -2i³ + -2i³ + 3i³x + -2i³x + 1i³x + -1i³x² + 1i³x² + -2i⁴ + 1i⁴x + 2x² + 2x³ + -3x³ + -3x⁴ + 1x⁴ + x⁵)

Combine like terms: -2i²x + 3i²x = 1i²x
0 = (4ix² + -2ix³ + -2i² + 1i²x + 2i²x² + 3i²x² + -1i²x² + -1i²x³ + -1i²x³ + -2i³ + -2i³ + 3i³x + -2i³x + 1i³x + -1i³x² + 1i³x² + -2i⁴ + 1i⁴x + 2x² + 2x³ + -3x³ + -3x⁴ + 1x⁴ + x⁵)

Combine like terms: 2i²x² + 3i²x² = 5i²x²
0 = (4ix² + -2ix³ + -2i² + 1i²x + 5i²x² + -1i²x² + -1i²x³ + -1i²x³ + -2i³ + -2i³ + 3i³x + -2i³x + 1i³x + -1i³x² + 1i³x² + -2i⁴ + 1i⁴x + 2x² + 2x³ + -3x³ + -3x⁴ + 1x⁴ + x⁵)

Combine like terms: 5i²x² + -1i²x² = 4i²x²
0 = (4ix² + -2ix³ + -2i² + 1i²x + 4i²x² + -1i²x³ + -1i²x³ + -2i³ + -2i³ + 3i³x + -2i³x + 1i³x + -1i³x² + 1i³x² + -2i⁴ + 1i⁴x + 2x² + 2x³ + -3x³ + -3x⁴ + 1x⁴ + x⁵)

Combine like terms: -1i²x³ + -1i²x³ = -2i²x³
0 = (4ix² + -2ix³ + -2i² + 1i²x + 4i²x² + -2i²x³ + -2i³ + -2i³ + 3i³x + -2i³x + 1i³x + -1i³x² + 1i³x² + -2i⁴ + 1i⁴x + 2x² + 2x³ + -3x³ + -3x⁴ + 1x⁴ + x⁵)

Combine like terms: -2i³ + -2i³ = -4i³
0 = (4ix² + -2ix³ + -2i² + 1i²x + 4i²x² + -2i²x³ + -4i³ + 3i³x + -2i³x + 1i³x + -1i³x² + 1i³x² + -2i⁴ + 1i⁴x + 2x² + 2x³ + -3x³ + -3x⁴ + 1x⁴ + x⁵)

Combine like terms: 3i³x + -2i³x = 1i³x
0 = (4ix² + -2ix³ + -2i² + 1i²x + 4i²x² + -2i²x³ + -4i³ + 1i³x + 1i³x + -1i³x² + 1i³x² + -2i⁴ + 1i⁴x + 2x² + 2x³ + -3x³ + -3x⁴ + 1x⁴ + x⁵)

Combine like terms: 1i³x + 1i³x = 2i³x
0 = (4ix² + -2ix³ + -2i² + 1i²x + 4i²x² + -2i²x³ + -4i³ + 2i³x + -1i³x² + 1i³x² + -2i⁴ + 1i⁴x + 2x² + 2x³ + -3x³ + -3x⁴ + 1x⁴ + x⁵)

Combine like terms: -1i³x² + 1i³x² = 0
0 = (4ix² + -2ix³ + -2i² + 1i²x + 4i²x² + -2i²x³ + -4i³ + 2i³x + 0 + -2i⁴ + 1i⁴x + 2x² + 2x³ + -3x³ + -3x⁴ + 1x⁴ + x⁵)
0 = (4ix² + -2ix³ + -2i² + 1i²x + 4i²x² + -2i²x³ + -4i³ + 2i³x + -2i⁴ + 1i⁴x + 2x² + 2x³ + -3x³ + -3x⁴ + 1x⁴ + x⁵)

Combine like terms: 2x³ + -3x³ = -1x³
0 = (4ix² + -2ix³ + -2i² + 1i²x + 4i²x² + -2i²x³ + -4i³ + 2i³x + -2i⁴ + 1i⁴x + 2x² + -1x³ + -3x⁴ + 1x⁴ + x⁵)

Combine like terms: -3x⁴ + 1x⁴ = -2x⁴
0 = (4ix² + -2ix³ + -2i² + 1i²x + 4i²x² + -2i²x³ + -4i³ + 2i³x + -2i⁴ + 1i⁴x + 2x² + -1x³ + -2x⁴ + x⁵)

Solving
0 = 4ix² + -2ix³ + -2i² + 1i²x + 4i²x² + -2i²x³ + -4i³ + 2i³x + -2i⁴ + 1i⁴x + 2x² + -1x³ + -2x⁴ + x⁵

Solving for variable 'i'.
Remove the zero:
-4ix² + 2ix³ + 2i² + -1i²x + -4i²x² + 2i²x³ + 4i³ + -2i³x + 2i⁴ + -1i⁴x + -2x² + x³ + 2x⁴ + -1x⁵ = 4ix² + -2ix³ + -2i² + 1i²x + 4i²x² + -2i²x³ + -4i³ + 2i³x + -2i⁴ + 1i⁴x + 2x² + -1x³ + -2x⁴ + x⁵ + -4ix² + 2ix³ + 2i² + -1i²x + -4i²x² + 2i²x³ + 4i³ + -2i³x + 2i⁴ + -1i⁴x + -2x² + x³ + 2x⁴ + -1x⁵

Reorder the terms:
-4ix² + 2ix³ + 2i² + -1i²x + -4i²x² + 2i²x³ + 4i³ + -2i³x + 2i⁴ + -1i⁴x + -2x² + x³ + 2x⁴ + -1x⁵ = 4ix² + -4ix² + -2ix³ + 2ix³ + -2i² + 2i² + 1i²x + -1i²x + 4i²x² + -4i²x² + -2i²x³ + 2i²x³ + -4i³ + 4i³ + 2i³x + -2i³x + -2i⁴ + 2i⁴ + 1i⁴x + -1i⁴x + 2x² + -2x² + -1x³ + x³ + -2x⁴ + 2x⁴ + x⁵ + -1x⁵

Combine like terms: 4ix² + -4ix² = 0
-4ix² + 2ix³ + 2i² + -1i²x + -4i²x² + 2i²x³ + 4i³ + -2i³x + 2i⁴ + -1i⁴x + -2x² + x³ + 2x⁴ + -1x⁵ = 0 + -2ix³ + 2ix³ + -2i² + 2i² + 1i²x + -1i²x + 4i²x² + -4i²x² + -2i²x³ + 2i²x³ + -4i³ + 4i³ + 2i³x + -2i³x + -2i⁴ + 2i⁴ + 1i⁴x + -1i⁴x + 2x² + -2x² + -1x³ + x³ + -2x⁴ + 2x⁴ + x⁵ + -1x⁵
-4ix² + 2ix³ + 2i² + -1i²x + -4i²x² + 2i²x³ + 4i³ + -2i³x + 2i⁴ + -1i⁴x + -2x² + x³ + 2x⁴ + -1x⁵ = -2ix³ + 2ix³ + -2i² + 2i² + 1i²x + -1i²x + 4i²x² + -4i²x² + -2i²x³ + 2i²x³ + -4i³ + 4i³ + 2i³x + -2i³x + -2i⁴ + 2i⁴ + 1i⁴x + -1i⁴x + 2x² + -2x² + -1x³ + x³ + -2x⁴ + 2x⁴ + x⁵ + -1x⁵

Combine like terms: -2ix³ + 2ix³ = 0
-4ix² + 2ix³ + 2i² + -1i²x + -4i²x² + 2i²x³ + 4i³ + -2i³x + 2i⁴ + -1i⁴x + -2x² + x³ + 2x⁴ + -1x⁵ = 0 + -2i² + 2i² + 1i²x + -1i²x + 4i²x² + -4i²x² + -2i²x³ + 2i²x³ + -4i³ + 4i³ + 2i³x + -2i³x + -2i⁴ + 2i⁴ + 1i⁴x + -1i⁴x + 2x² + -2x² + -1x³ + x³ + -2x⁴ + 2x⁴ + x⁵ + -1x⁵
-4ix² + 2ix³ + 2i² + -1i²x + -4i²x² + 2i²x³ + 4i³ + -2i³x + 2i⁴ + -1i⁴x + -2x² + x³ + 2x⁴ + -1x⁵ = -2i² + 2i² + 1i²x + -1i²x + 4i²x² + -4i²x² + -2i²x³ + 2i²x³ + -4i³ + 4i³ + 2i³x + -2i³x + -2i⁴ + 2i⁴ + 1i⁴x + -1i⁴x + 2x² + -2x² + -1x³ + x³ + -2x⁴ + 2x⁴ + x⁵ + -1x⁵

Combine like terms: -2i² + 2i² = 0
-4ix² + 2ix³ + 2i² + -1i²x + -4i²x² + 2i²x³ + 4i³ + -2i³x + 2i⁴ + -1i⁴x + -2x² + x³ + 2x⁴ + -1x⁵ = 0 + 1i²x + -1i²x + 4i²x² + -4i²x² + -2i²x³ + 2i²x³ + -4i³ + 4i³ + 2i³x + -2i³x + -2i⁴ + 2i⁴ + 1i⁴x + -1i⁴x + 2x² + -2x² + -1x³ + x³ + -2x⁴ + 2x⁴ + x⁵ + -1x⁵
-4ix² + 2ix³ + 2i² + -1i²x + -4i²x² + 2i²x³ + 4i³ + -2i³x + 2i⁴ + -1i⁴x + -2x² + x³ + 2x⁴ + -1x⁵ = 1i²x + -1i²x + 4i²x² + -4i²x² + -2i²x³ + 2i²x³ + -4i³ + 4i³ + 2i³x + -2i³x + -2i⁴ + 2i⁴ + 1i⁴x + -1i⁴x + 2x² + -2x² + -1x³ + x³ + -2x⁴ + 2x⁴ + x⁵ + -1x⁵

Combine like terms: 1i²x + -1i²x = 0
-4ix² + 2ix³ + 2i² + -1i²x + -4i²x² + 2i²x³ + 4i³ + -2i³x + 2i⁴ + -1i⁴x + -2x² + x³ + 2x⁴ + -1x⁵ = 0 + 4i²x² + -4i²x² + -2i²x³ + 2i²x³ + -4i³ + 4i³ + 2i³x + -2i³x + -2i⁴ + 2i⁴ + 1i⁴x + -1i⁴x + 2x² + -2x² + -1x³ + x³ + -2x⁴ + 2x⁴ + x⁵ + -1x⁵
-4ix² + 2ix³ + 2i² + -1i²x + -4i²x² + 2i²x³ + 4i³ + -2i³x + 2i⁴ + -1i⁴x + -2x² + x³ + 2x⁴ + -1x⁵ = 4i²x² + -4i²x² + -2i²x³ + 2i²x³ + -4i³ + 4i³ + 2i³x + -2i³x + -2i⁴ + 2i⁴ + 1i⁴x + -1i⁴x + 2x² + -2x² + -1x³ + x³ + -2x⁴ + 2x⁴ + x⁵ + -1x⁵

Combine like terms: 4i²x² + -4i²x² = 0
-4ix² + 2ix³ + 2i² + -1i²x + -4i²x² + 2i²x³ + 4i³ + -2i³x + 2i⁴ + -1i⁴x + -2x² + x³ + 2x⁴ + -1x⁵ = 0 + -2i²x³ + 2i²x³ + -4i³ + 4i³ + 2i³x + -2i³x + -2i⁴ + 2i⁴ + 1i⁴x + -1i⁴x + 2x² + -2x² + -1x³ + x³ + -2x⁴ + 2x⁴ + x⁵ + -1x⁵
-4ix² + 2ix³ + 2i² + -1i²x + -4i²x² + 2i²x³ + 4i³ + -2i³x + 2i⁴ + -1i⁴x + -2x² + x³ + 2x⁴ + -1x⁵ = -2i²x³ + 2i²x³ + -4i³ + 4i³ + 2i³x + -2i³x + -2i⁴ + 2i⁴ + 1i⁴x + -1i⁴x + 2x² + -2x² + -1x³ + x³ + -2x⁴ + 2x⁴ + x⁵ + -1x⁵

Combine like terms: -2i²x³ + 2i²x³ = 0
-4ix² + 2ix³ + 2i² + -1i²x + -4i²x² + 2i²x³ + 4i³ + -2i³x + 2i⁴ + -1i⁴x + -2x² + x³ + 2x⁴ + -1x⁵ = 0 + -4i³ + 4i³ + 2i³x + -2i³x + -2i⁴ + 2i⁴ + 1i⁴x + -1i⁴x + 2x² + -2x² + -1x³ + x³ + -2x⁴ + 2x⁴ + x⁵ + -1x⁵
-4ix² + 2ix³ + 2i² + -1i²x + -4i²x² + 2i²x³ + 4i³ + -2i³x + 2i⁴ + -1i⁴x + -2x² + x³ + 2x⁴ + -1x⁵ = -4i³ + 4i³ + 2i³x + -2i³x + -2i⁴ + 2i⁴ + 1i⁴x + -1i⁴x + 2x² + -2x² + -1x³ + x³ + -2x⁴ + 2x⁴ + x⁵ + -1x⁵

Combine like terms: -4i³ + 4i³ = 0
-4ix² + 2ix³ + 2i² + -1i²x + -4i²x² + 2i²x³ + 4i³ + -2i³x + 2i⁴ + -1i⁴x + -2x² + x³ + 2x⁴ + -1x⁵ = 0 + 2i³x + -2i³x + -2i⁴ + 2i⁴ + 1i⁴x + -1i⁴x + 2x² + -2x² + -1x³ + x³ + -2x⁴ + 2x⁴ + x⁵ + -1x⁵
-4ix² + 2ix³ + 2i² + -1i²x + -4i²x² + 2i²x³ + 4i³ + -2i³x + 2i⁴ + -1i⁴x + -2x² + x³ + 2x⁴ + -1x⁵ = 2i³x + -2i³x + -2i⁴ + 2i⁴ + 1i⁴x + -1i⁴x + 2x² + -2x² + -1x³ + x³ + -2x⁴ + 2x⁴ + x⁵ + -1x⁵

Combine like terms: 2i³x + -2i³x = 0
-4ix² + 2ix³ + 2i² + -1i²x + -4i²x² + 2i²x³ + 4i³ + -2i³x + 2i⁴ + -1i⁴x + -2x² + x³ + 2x⁴ + -1x⁵ = 0 + -2i⁴ + 2i⁴ + 1i⁴x + -1i⁴x + 2x² + -2x² + -1x³ + x³ + -2x⁴ + 2x⁴ + x⁵ + -1x⁵
-4ix² + 2ix³ + 2i² + -1i²x + -4i²x² + 2i²x³ + 4i³ + -2i³x + 2i⁴ + -1i⁴x + -2x² + x³ + 2x⁴ + -1x⁵ = -2i⁴ + 2i⁴ + 1i⁴x + -1i⁴x + 2x² + -2x² + -1x³ + x³ + -2x⁴ + 2x⁴ + x⁵ + -1x⁵

Combine like terms: -2i⁴ + 2i⁴ = 0
-4ix² + 2ix³ + 2i² + -1i²x + -4i²x² + 2i²x³ + 4i³ + -2i³x + 2i⁴ + -1i⁴x + -2x² + x³ + 2x⁴ + -1x⁵ = 0 + 1i⁴x + -1i⁴x + 2x² + -2x² + -1x³ + x³ + -2x⁴ + 2x⁴ + x⁵ + -1x⁵
-4ix² + 2ix³ + 2i² + -1i²x + -4i²x² + 2i²x³ + 4i³ + -2i³x + 2i⁴ + -1i⁴x + -2x² + x³ + 2x⁴ + -1x⁵ = 1i⁴x + -1i⁴x + 2x² + -2x² + -1x³ + x³ + -2x⁴ + 2x⁴ + x⁵ + -1x⁵

Combine like terms: 1i⁴x + -1i⁴x = 0
-4ix² + 2ix³ + 2i² + -1i²x + -4i²x² + 2i²x³ + 4i³ + -2i³x + 2i⁴ + -1i⁴x + -2x² + x³ + 2x⁴ + -1x⁵ = 0 + 2x² + -2x² + -1x³ + x³ + -2x⁴ + 2x⁴ + x⁵ + -1x⁵
-4ix² + 2ix³ + 2i² + -1i²x + -4i²x² + 2i²x³ + 4i³ + -2i³x + 2i⁴ + -1i⁴x + -2x² + x³ + 2x⁴ + -1x⁵ = 2x² + -2x² + -1x³ + x³ + -2x⁴ + 2x⁴ + x⁵ + -1x⁵

Combine like terms: 2x² + -2x² = 0
-4ix² + 2ix³ + 2i² + -1i²x + -4i²x² + 2i²x³ + 4i³ + -2i³x + 2i⁴ + -1i⁴x + -2x² + x³ + 2x⁴ + -1x⁵ = 0 + -1x³ + x³ + -2x⁴ + 2x⁴ + x⁵ + -1x⁵
-4ix² + 2ix³ + 2i² + -1i²x + -4i²x² + 2i²x³ + 4i³ + -2i³x + 2i⁴ + -1i⁴x + -2x² + x³ + 2x⁴ + -1x⁵ = -1x³ + x³ + -2x⁴ + 2x⁴ + x⁵ + -1x⁵

Combine like terms: -1x³ + x³ = 0
-4ix² + 2ix³ + 2i² + -1i²x + -4i²x² + 2i²x³ + 4i³ + -2i³x + 2i⁴ + -1i⁴x + -2x² + x³ + 2x⁴ + -1x⁵ = 0 + -2x⁴ + 2x⁴ + x⁵ + -1x⁵
-4ix² + 2ix³ + 2i² + -1i²x + -4i²x² + 2i²x³ + 4i³ + -2i³x + 2i⁴ + -1i⁴x + -2x² + x³ + 2x⁴ + -1x⁵ = -2x⁴ + 2x⁴ + x⁵ + -1x⁵

Combine like terms: -2x⁴ + 2x⁴ = 0
-4ix² + 2ix³ + 2i² + -1i²x + -4i²x² + 2i²x³ + 4i³ + -2i³x + 2i⁴ + -1i⁴x + -2x² + x³ + 2x⁴ + -1x⁵ = 0 + x⁵ + -1x⁵
-4ix² + 2ix³ + 2i² + -1i²x + -4i²x² + 2i²x³ + 4i³ + -2i³x + 2i⁴ + -1i⁴x + -2x² + x³ + 2x⁴ + -1x⁵ = x⁵ + -1x⁵

Combine like terms: x⁵ + -1x⁵ = 0
-4ix² + 2ix³ + 2i² + -1i²x + -4i²x² + 2i²x³ + 4i³ + -2i³x + 2i⁴ + -1i⁴x + -2x² + x³ + 2x⁴ + -1x⁵ = 0

The solution to this equation could not be determined.
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0=(x-2)(x-i)(x+i)(x-1-i)(x+1+i)

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Solution for 0=(x-2)(x-i)(x+i)(x-1-i)(x+1+i) equation:

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