=2(x-1)(x+3)(x-1+2i)(x-1-2I)

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Solution for =2(x-1)(x+3)(x-1+2i)(x-1-2I) equation:

Simplifying
0 = 2(x + -1)(x + 3)(x + -1 + 2i)(x + -1 + -2I)

Reorder the terms:
0 = 2(-1 + x)(x + 3)(x + -1 + 2i)(x + -1 + -2I)

Reorder the terms:
0 = 2(-1 + x)(3 + x)(x + -1 + 2i)(x + -1 + -2I)

Reorder the terms:
0 = 2(-1 + x)(3 + x)(-1 + 2i + x)(x + -1 + -2I)

Reorder the terms:
0 = 2(-1 + x)(3 + x)(-1 + 2i + x)(-1 + -2I + x)

Multiply (-1 + x) * (3 + x)
0 = 2(-1(3 + x) + x(3 + x))(-1 + 2i + x)(-1 + -2I + x)
0 = 2((3 * -1 + x * -1) + x(3 + x))(-1 + 2i + x)(-1 + -2I + x)
0 = 2((-3 + -1x) + x(3 + x))(-1 + 2i + x)(-1 + -2I + x)
0 = 2(-3 + -1x + (3 * x + x * x))(-1 + 2i + x)(-1 + -2I + x)
0 = 2(-3 + -1x + (3x + x²))(-1 + 2i + x)(-1 + -2I + x)

Combine like terms: -1x + 3x = 2x
0 = 2(-3 + 2x + x²)(-1 + 2i + x)(-1 + -2I + x)

Multiply (-3 + 2x + x²) * (-1 + 2i + x)
0 = 2(-3(-1 + 2i + x) + 2x * (-1 + 2i + x) + x²(-1 + 2i + x))(-1 + -2I + x)
0 = 2((-1 * -3 + 2i * -3 + x * -3) + 2x * (-1 + 2i + x) + x²(-1 + 2i + x))(-1 + -2I + x)
0 = 2((3 + -6i + -3x) + 2x * (-1 + 2i + x) + x²(-1 + 2i + x))(-1 + -2I + x)
0 = 2(3 + -6i + -3x + (-1 * 2x + 2i * 2x + x * 2x) + x²(-1 + 2i + x))(-1 + -2I + x)

Reorder the terms:
0 = 2(3 + -6i + -3x + (4ix + -2x + 2x²) + x²(-1 + 2i + x))(-1 + -2I + x)
0 = 2(3 + -6i + -3x + (4ix + -2x + 2x²) + x²(-1 + 2i + x))(-1 + -2I + x)
0 = 2(3 + -6i + -3x + 4ix + -2x + 2x² + (-1 * x² + 2i * x² + x * x²))(-1 + -2I + x)

Reorder the terms:
0 = 2(3 + -6i + -3x + 4ix + -2x + 2x² + (2ix² + -1x² + x³))(-1 + -2I + x)
0 = 2(3 + -6i + -3x + 4ix + -2x + 2x² + (2ix² + -1x² + x³))(-1 + -2I + x)

Reorder the terms:
0 = 2(3 + -6i + 4ix + 2ix² + -3x + -2x + 2x² + -1x² + x³)(-1 + -2I + x)

Combine like terms: -3x + -2x = -5x
0 = 2(3 + -6i + 4ix + 2ix² + -5x + 2x² + -1x² + x³)(-1 + -2I + x)

Combine like terms: 2x² + -1x² = 1x²
0 = 2(3 + -6i + 4ix + 2ix² + -5x + 1x² + x³)(-1 + -2I + x)

Multiply (3 + -6i + 4ix + 2ix² + -5x + 1x² + x³) * (-1 + -2I + x)
0 = 2(3(-1 + -2I + x) + -6i * (-1 + -2I + x) + 4ix * (-1 + -2I + x) + 2ix² * (-1 + -2I + x) + -5x * (-1 + -2I + x) + 1x² * (-1 + -2I + x) + x³(-1 + -2I + x))
0 = 2((-1 * 3 + -2I * 3 + x * 3) + -6i * (-1 + -2I + x) + 4ix * (-1 + -2I + x) + 2ix² * (-1 + -2I + x) + -5x * (-1 + -2I + x) + 1x² * (-1 + -2I + x) + x³(-1 + -2I + x))
0 = 2((-3 + -6I + 3x) + -6i * (-1 + -2I + x) + 4ix * (-1 + -2I + x) + 2ix² * (-1 + -2I + x) + -5x * (-1 + -2I + x) + 1x² * (-1 + -2I + x) + x³(-1 + -2I + x))
0 = 2(-3 + -6I + 3x + (-1 * -6i + -2I * -6i + x * -6i) + 4ix * (-1 + -2I + x) + 2ix² * (-1 + -2I + x) + -5x * (-1 + -2I + x) + 1x² * (-1 + -2I + x) + x³(-1 + -2I + x))
0 = 2(-3 + -6I + 3x + (6i + 12iI + -6ix) + 4ix * (-1 + -2I + x) + 2ix² * (-1 + -2I + x) + -5x * (-1 + -2I + x) + 1x² * (-1 + -2I + x) + x³(-1 + -2I + x))
0 = 2(-3 + -6I + 3x + 6i + 12iI + -6ix + (-1 * 4ix + -2I * 4ix + x * 4ix) + 2ix² * (-1 + -2I + x) + -5x * (-1 + -2I + x) + 1x² * (-1 + -2I + x) + x³(-1 + -2I + x))
0 = 2(-3 + -6I + 3x + 6i + 12iI + -6ix + (-4ix + -8ixI + 4ix²) + 2ix² * (-1 + -2I + x) + -5x * (-1 + -2I + x) + 1x² * (-1 + -2I + x) + x³(-1 + -2I + x))
0 = 2(-3 + -6I + 3x + 6i + 12iI + -6ix + -4ix + -8ixI + 4ix² + (-1 * 2ix² + -2I * 2ix² + x * 2ix²) + -5x * (-1 + -2I + x) + 1x² * (-1 + -2I + x) + x³(-1 + -2I + x))
0 = 2(-3 + -6I + 3x + 6i + 12iI + -6ix + -4ix + -8ixI + 4ix² + (-2ix² + -4ix²I + 2ix³) + -5x * (-1 + -2I + x) + 1x² * (-1 + -2I + x) + x³(-1 + -2I + x))
0 = 2(-3 + -6I + 3x + 6i + 12iI + -6ix + -4ix + -8ixI + 4ix² + -2ix² + -4ix²I + 2ix³ + (-1 * -5x + -2I * -5x + x * -5x) + 1x² * (-1 + -2I + x) + x³(-1 + -2I + x))
0 = 2(-3 + -6I + 3x + 6i + 12iI + -6ix + -4ix + -8ixI + 4ix² + -2ix² + -4ix²I + 2ix³ + (5x + 10xI + -5x²) + 1x² * (-1 + -2I + x) + x³(-1 + -2I + x))
0 = 2(-3 + -6I + 3x + 6i + 12iI + -6ix + -4ix + -8ixI + 4ix² + -2ix² + -4ix²I + 2ix³ + 5x + 10xI + -5x² + (-1 * 1x² + -2I * 1x² + x * 1x²) + x³(-1 + -2I + x))
0 = 2(-3 + -6I + 3x + 6i + 12iI + -6ix + -4ix + -8ixI + 4ix² + -2ix² + -4ix²I + 2ix³ + 5x + 10xI + -5x² + (-1x² + -2x²I + 1x³) + x³(-1 + -2I + x))
0 = 2(-3 + -6I + 3x + 6i + 12iI + -6ix + -4ix + -8ixI + 4ix² + -2ix² + -4ix²I + 2ix³ + 5x + 10xI + -5x² + -1x² + -2x²I + 1x³ + (-1 * x³ + -2I * x³ + x * x³))
0 = 2(-3 + -6I + 3x + 6i + 12iI + -6ix + -4ix + -8ixI + 4ix² + -2ix² + -4ix²I + 2ix³ + 5x + 10xI + -5x² + -1x² + -2x²I + 1x³ + (-1x³ + -2x³I + x⁴))

Reorder the terms:
0 = 2(-3 + -6I + 6i + 12iI + -6ix + -4ix + -8ixI + 4ix² + -2ix² + -4ix²I + 2ix³ + 3x + 5x + 10xI + -5x² + -1x² + -2x²I + 1x³ + -1x³ + -2x³I + x⁴)

Combine like terms: -6ix + -4ix = -10ix
0 = 2(-3 + -6I + 6i + 12iI + -10ix + -8ixI + 4ix² + -2ix² + -4ix²I + 2ix³ + 3x + 5x + 10xI + -5x² + -1x² + -2x²I + 1x³ + -1x³ + -2x³I + x⁴)

Combine like terms: 4ix² + -2ix² = 2ix²
0 = 2(-3 + -6I + 6i + 12iI + -10ix + -8ixI + 2ix² + -4ix²I + 2ix³ + 3x + 5x + 10xI + -5x² + -1x² + -2x²I + 1x³ + -1x³ + -2x³I + x⁴)

Combine like terms: 3x + 5x = 8x
0 = 2(-3 + -6I + 6i + 12iI + -10ix + -8ixI + 2ix² + -4ix²I + 2ix³ + 8x + 10xI + -5x² + -1x² + -2x²I + 1x³ + -1x³ + -2x³I + x⁴)

Combine like terms: -5x² + -1x² = -6x²
0 = 2(-3 + -6I + 6i + 12iI + -10ix + -8ixI + 2ix² + -4ix²I + 2ix³ + 8x + 10xI + -6x² + -2x²I + 1x³ + -1x³ + -2x³I + x⁴)

Combine like terms: 1x³ + -1x³ = 0
0 = 2(-3 + -6I + 6i + 12iI + -10ix + -8ixI + 2ix² + -4ix²I + 2ix³ + 8x + 10xI + -6x² + -2x²I + 0 + -2x³I + x⁴)
0 = 2(-3 + -6I + 6i + 12iI + -10ix + -8ixI + 2ix² + -4ix²I + 2ix³ + 8x + 10xI + -6x² + -2x²I + -2x³I + x⁴)
0 = (-3 * 2 + -6I * 2 + 6i * 2 + 12iI * 2 + -10ix * 2 + -8ixI * 2 + 2ix² * 2 + -4ix²I * 2 + 2ix³ * 2 + 8x * 2 + 10xI * 2 + -6x² * 2 + -2x²I * 2 + -2x³I * 2 + x⁴ * 2)
0 = (-6 + -12I + 12i + 24iI + -20ix + -16ixI + 4ix² + -8ix²I + 4ix³ + 16x + 20xI + -12x² + -4x²I + -4x³I + 2x⁴)

Solving
0 = -6 + -12I + 12i + 24iI + -20ix + -16ixI + 4ix² + -8ix²I + 4ix³ + 16x + 20xI + -12x² + -4x²I + -4x³I + 2x⁴

Solving for variable 'I'.

Move all terms containing I to the left, all other terms to the right.

Add '12I' to each side of the equation.
0 + 12I = -6 + -12I + 12i + 24iI + -20ix + -16ixI + 4ix² + -8ix²I + 4ix³ + 16x + 20xI + -12x² + -4x²I + -4x³I + 12I + 2x⁴
Remove the zero:
12I = -6 + -12I + 12i + 24iI + -20ix + -16ixI + 4ix² + -8ix²I + 4ix³ + 16x + 20xI + -12x² + -4x²I + -4x³I + 12I + 2x⁴

Reorder the terms:
12I = -6 + -12I + 12I + 12i + 24iI + -20ix + -16ixI + 4ix² + -8ix²I + 4ix³ + 16x + 20xI + -12x² + -4x²I + -4x³I + 2x⁴

Combine like terms: -12I + 12I = 0
12I = -6 + 0 + 12i + 24iI + -20ix + -16ixI + 4ix² + -8ix²I + 4ix³ + 16x + 20xI + -12x² + -4x²I + -4x³I + 2x⁴
12I = -6 + 12i + 24iI + -20ix + -16ixI + 4ix² + -8ix²I + 4ix³ + 16x + 20xI + -12x² + -4x²I + -4x³I + 2x⁴

Add '-24iI' to each side of the equation.
12I + -24iI = -6 + 12i + 24iI + -20ix + -16ixI + 4ix² + -8ix²I + 4ix³ + 16x + 20xI + -12x² + -4x²I + -4x³I + -24iI + 2x⁴

Reorder the terms:
12I + -24iI = -6 + 12i + 24iI + -24iI + -20ix + -16ixI + 4ix² + -8ix²I + 4ix³ + 16x + 20xI + -12x² + -4x²I + -4x³I + 2x⁴

Combine like terms: 24iI + -24iI = 0
12I + -24iI = -6 + 12i + 0 + -20ix + -16ixI + 4ix² + -8ix²I + 4ix³ + 16x + 20xI + -12x² + -4x²I + -4x³I + 2x⁴
12I + -24iI = -6 + 12i + -20ix + -16ixI + 4ix² + -8ix²I + 4ix³ + 16x + 20xI + -12x² + -4x²I + -4x³I + 2x⁴

Add '16ixI' to each side of the equation.
12I + -24iI + 16ixI = -6 + 12i + -20ix + -16ixI + 4ix² + -8ix²I + 4ix³ + 16x + 20xI + -12x² + -4x²I + -4x³I + 16ixI + 2x⁴

Reorder the terms:
12I + -24iI + 16ixI = -6 + 12i + -20ix + -16ixI + 16ixI + 4ix² + -8ix²I + 4ix³ + 16x + 20xI + -12x² + -4x²I + -4x³I + 2x⁴

Combine like terms: -16ixI + 16ixI = 0
12I + -24iI + 16ixI = -6 + 12i + -20ix + 0 + 4ix² + -8ix²I + 4ix³ + 16x + 20xI + -12x² + -4x²I + -4x³I + 2x⁴
12I + -24iI + 16ixI = -6 + 12i + -20ix + 4ix² + -8ix²I + 4ix³ + 16x + 20xI + -12x² + -4x²I + -4x³I + 2x⁴

Add '8ix²I' to each side of the equation.
12I + -24iI + 16ixI + 8ix²I = -6 + 12i + -20ix + 4ix² + -8ix²I + 4ix³ + 16x + 20xI + -12x² + -4x²I + -4x³I + 8ix²I + 2x⁴

Reorder the terms:
12I + -24iI + 16ixI + 8ix²I = -6 + 12i + -20ix + 4ix² + -8ix²I + 8ix²I + 4ix³ + 16x + 20xI + -12x² + -4x²I + -4x³I + 2x⁴

Combine like terms: -8ix²I + 8ix²I = 0
12I + -24iI + 16ixI + 8ix²I = -6 + 12i + -20ix + 4ix² + 0 + 4ix³ + 16x + 20xI + -12x² + -4x²I + -4x³I + 2x⁴
12I + -24iI + 16ixI + 8ix²I = -6 + 12i + -20ix + 4ix² + 4ix³ + 16x + 20xI + -12x² + -4x²I + -4x³I + 2x⁴

Add '-20xI' to each side of the equation.
12I + -24iI + 16ixI + 8ix²I + -20xI = -6 + 12i + -20ix + 4ix² + 4ix³ + 16x + 20xI + -12x² + -4x²I + -4x³I + -20xI + 2x⁴

Reorder the terms:
12I + -24iI + 16ixI + 8ix²I + -20xI = -6 + 12i + -20ix + 4ix² + 4ix³ + 16x + 20xI + -20xI + -12x² + -4x²I + -4x³I + 2x⁴

Combine like terms: 20xI + -20xI = 0
12I + -24iI + 16ixI + 8ix²I + -20xI = -6 + 12i + -20ix + 4ix² + 4ix³ + 16x + 0 + -12x² + -4x²I + -4x³I + 2x⁴
12I + -24iI + 16ixI + 8ix²I + -20xI = -6 + 12i + -20ix + 4ix² + 4ix³ + 16x + -12x² + -4x²I + -4x³I + 2x⁴

Add '4x²I' to each side of the equation.
12I + -24iI + 16ixI + 8ix²I + -20xI + 4x²I = -6 + 12i + -20ix + 4ix² + 4ix³ + 16x + -12x² + -4x²I + -4x³I + 4x²I + 2x⁴

Reorder the terms:
12I + -24iI + 16ixI + 8ix²I + -20xI + 4x²I = -6 + 12i + -20ix + 4ix² + 4ix³ + 16x + -12x² + -4x²I + 4x²I + -4x³I + 2x⁴

Combine like terms: -4x²I + 4x²I = 0
12I + -24iI + 16ixI + 8ix²I + -20xI + 4x²I = -6 + 12i + -20ix + 4ix² + 4ix³ + 16x + -12x² + 0 + -4x³I + 2x⁴
12I + -24iI + 16ixI + 8ix²I + -20xI + 4x²I = -6 + 12i + -20ix + 4ix² + 4ix³ + 16x + -12x² + -4x³I + 2x⁴

Add '4x³I' to each side of the equation.
12I + -24iI + 16ixI + 8ix²I + -20xI + 4x²I + 4x³I = -6 + 12i + -20ix + 4ix² + 4ix³ + 16x + -12x² + -4x³I + 4x³I + 2x⁴

Combine like terms: -4x³I + 4x³I = 0
12I + -24iI + 16ixI + 8ix²I + -20xI + 4x²I + 4x³I = -6 + 12i + -20ix + 4ix² + 4ix³ + 16x + -12x² + 0 + 2x⁴
12I + -24iI + 16ixI + 8ix²I + -20xI + 4x²I + 4x³I = -6 + 12i + -20ix + 4ix² + 4ix³ + 16x + -12x² + 2x⁴

Reorder the terms:
6 + 12I + -12i + -24iI + 20ix + 16ixI + -4ix² + 8ix²I + -4ix³ + -16x + -20xI + 12x² + 4x²I + 4x³I + -2x⁴ = -6 + 12i + -20ix + 4ix² + 4ix³ + 16x + -12x² + 2x⁴ + 6 + -12i + 20ix + -4ix² + -4ix³ + -16x + 12x² + -2x⁴

Reorder the terms:
6 + 12I + -12i + -24iI + 20ix + 16ixI + -4ix² + 8ix²I + -4ix³ + -16x + -20xI + 12x² + 4x²I + 4x³I + -2x⁴ = -6 + 6 + 12i + -12i + -20ix + 20ix + 4ix² + -4ix² + 4ix³ + -4ix³ + 16x + -16x + -12x² + 12x² + 2x⁴ + -2x⁴

Combine like terms: -6 + 6 = 0
6 + 12I + -12i + -24iI + 20ix + 16ixI + -4ix² + 8ix²I + -4ix³ + -16x + -20xI + 12x² + 4x²I + 4x³I + -2x⁴ = 0 + 12i + -12i + -20ix + 20ix + 4ix² + -4ix² + 4ix³ + -4ix³ + 16x + -16x + -12x² + 12x² + 2x⁴ + -2x⁴
6 + 12I + -12i + -24iI + 20ix + 16ixI + -4ix² + 8ix²I + -4ix³ + -16x + -20xI + 12x² + 4x²I + 4x³I + -2x⁴ = 12i + -12i + -20ix + 20ix + 4ix² + -4ix² + 4ix³ + -4ix³ + 16x + -16x + -12x² + 12x² + 2x⁴ + -2x⁴

Combine like terms: 12i + -12i = 0
6 + 12I + -12i + -24iI + 20ix + 16ixI + -4ix² + 8ix²I + -4ix³ + -16x + -20xI + 12x² + 4x²I + 4x³I + -2x⁴ = 0 + -20ix + 20ix + 4ix² + -4ix² + 4ix³ + -4ix³ + 16x + -16x + -12x² + 12x² + 2x⁴ + -2x⁴
6 + 12I + -12i + -24iI + 20ix + 16ixI + -4ix² + 8ix²I + -4ix³ + -16x + -20xI + 12x² + 4x²I + 4x³I + -2x⁴ = -20ix + 20ix + 4ix² + -4ix² + 4ix³ + -4ix³ + 16x + -16x + -12x² + 12x² + 2x⁴ + -2x⁴

Combine like terms: -20ix + 20ix = 0
6 + 12I + -12i + -24iI + 20ix + 16ixI + -4ix² + 8ix²I + -4ix³ + -16x + -20xI + 12x² + 4x²I + 4x³I + -2x⁴ = 0 + 4ix² + -4ix² + 4ix³ + -4ix³ + 16x + -16x + -12x² + 12x² + 2x⁴ + -2x⁴
6 + 12I + -12i + -24iI + 20ix + 16ixI + -4ix² + 8ix²I + -4ix³ + -16x + -20xI + 12x² + 4x²I + 4x³I + -2x⁴ = 4ix² + -4ix² + 4ix³ + -4ix³ + 16x + -16x + -12x² + 12x² + 2x⁴ + -2x⁴

Combine like terms: 4ix² + -4ix² = 0
6 + 12I + -12i + -24iI + 20ix + 16ixI + -4ix² + 8ix²I + -4ix³ + -16x + -20xI + 12x² + 4x²I + 4x³I + -2x⁴ = 0 + 4ix³ + -4ix³ + 16x + -16x + -12x² + 12x² + 2x⁴ + -2x⁴
6 + 12I + -12i + -24iI + 20ix + 16ixI + -4ix² + 8ix²I + -4ix³ + -16x + -20xI + 12x² + 4x²I + 4x³I + -2x⁴ = 4ix³ + -4ix³ + 16x + -16x + -12x² + 12x² + 2x⁴ + -2x⁴

Combine like terms: 4ix³ + -4ix³ = 0
6 + 12I + -12i + -24iI + 20ix + 16ixI + -4ix² + 8ix²I + -4ix³ + -16x + -20xI + 12x² + 4x²I + 4x³I + -2x⁴ = 0 + 16x + -16x + -12x² + 12x² + 2x⁴ + -2x⁴
6 + 12I + -12i + -24iI + 20ix + 16ixI + -4ix² + 8ix²I + -4ix³ + -16x + -20xI + 12x² + 4x²I + 4x³I + -2x⁴ = 16x + -16x + -12x² + 12x² + 2x⁴ + -2x⁴

Combine like terms: 16x + -16x = 0
6 + 12I + -12i + -24iI + 20ix + 16ixI + -4ix² + 8ix²I + -4ix³ + -16x + -20xI + 12x² + 4x²I + 4x³I + -2x⁴ = 0 + -12x² + 12x² + 2x⁴ + -2x⁴
6 + 12I + -12i + -24iI + 20ix + 16ixI + -4ix² + 8ix²I + -4ix³ + -16x + -20xI + 12x² + 4x²I + 4x³I + -2x⁴ = -12x² + 12x² + 2x⁴ + -2x⁴

Combine like terms: -12x² + 12x² = 0
6 + 12I + -12i + -24iI + 20ix + 16ixI + -4ix² + 8ix²I + -4ix³ + -16x + -20xI + 12x² + 4x²I + 4x³I + -2x⁴ = 0 + 2x⁴ + -2x⁴
6 + 12I + -12i + -24iI + 20ix + 16ixI + -4ix² + 8ix²I + -4ix³ + -16x + -20xI + 12x² + 4x²I + 4x³I + -2x⁴ = 2x⁴ + -2x⁴

Combine like terms: 2x⁴ + -2x⁴ = 0
6 + 12I + -12i + -24iI + 20ix + 16ixI + -4ix² + 8ix²I + -4ix³ + -16x + -20xI + 12x² + 4x²I + 4x³I + -2x⁴ = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(3 + 6I + -6i + -12iI + 10ix + 8ixI + -2ix² + 4ix²I + -2ix³ + -8x + -10xI + 6x² + 2x²I + 2x³I + -1x⁴) = 0

Ignore the factor 2.
Subproblem 1
Set the factor '(3 + 6I + -6i + -12iI + 10ix + 8ixI + -2ix² + 4ix²I + -2ix³ + -8x + -10xI + 6x² + 2x²I + 2x³I + -1x⁴)' equal to zero and attempt to solve:

Simplifying
3 + 6I + -6i + -12iI + 10ix + 8ixI + -2ix² + 4ix²I + -2ix³ + -8x + -10xI + 6x² + 2x²I + 2x³I + -1x⁴ = 0

Solving
3 + 6I + -6i + -12iI + 10ix + 8ixI + -2ix² + 4ix²I + -2ix³ + -8x + -10xI + 6x² + 2x²I + 2x³I + -1x⁴ = 0

Move all terms containing I to the left, all other terms to the right.

Add '-3' to each side of the equation.
3 + 6I + -6i + -12iI + 10ix + 8ixI + -2ix² + 4ix²I + -2ix³ + -8x + -10xI + 6x² + 2x²I + 2x³I + -3 + -1x⁴ = 0 + -3

Reorder the terms:
3 + -3 + 6I + -6i + -12iI + 10ix + 8ixI + -2ix² + 4ix²I + -2ix³ + -8x + -10xI + 6x² + 2x²I + 2x³I + -1x⁴ = 0 + -3

Combine like terms: 3 + -3 = 0
0 + 6I + -6i + -12iI + 10ix + 8ixI + -2ix² + 4ix²I + -2ix³ + -8x + -10xI + 6x² + 2x²I + 2x³I + -1x⁴ = 0 + -3
6I + -6i + -12iI + 10ix + 8ixI + -2ix² + 4ix²I + -2ix³ + -8x + -10xI + 6x² + 2x²I + 2x³I + -1x⁴ = 0 + -3

Combine like terms: 0 + -3 = -3
6I + -6i + -12iI + 10ix + 8ixI + -2ix² + 4ix²I + -2ix³ + -8x + -10xI + 6x² + 2x²I + 2x³I + -1x⁴ = -3

Add '6i' to each side of the equation.
6I + -6i + -12iI + 10ix + 8ixI + -2ix² + 4ix²I + -2ix³ + -8x + -10xI + 6x² + 2x²I + 2x³I + 6i + -1x⁴ = -3 + 6i

Reorder the terms:
6I + -6i + 6i + -12iI + 10ix + 8ixI + -2ix² + 4ix²I + -2ix³ + -8x + -10xI + 6x² + 2x²I + 2x³I + -1x⁴ = -3 + 6i

Combine like terms: -6i + 6i = 0
6I + 0 + -12iI + 10ix + 8ixI + -2ix² + 4ix²I + -2ix³ + -8x + -10xI + 6x² + 2x²I + 2x³I + -1x⁴ = -3 + 6i
6I + -12iI + 10ix + 8ixI + -2ix² + 4ix²I + -2ix³ + -8x + -10xI + 6x² + 2x²I + 2x³I + -1x⁴ = -3 + 6i

Add '-10ix' to each side of the equation.
6I + -12iI + 10ix + 8ixI + -2ix² + 4ix²I + -2ix³ + -8x + -10xI + 6x² + 2x²I + 2x³I + -10ix + -1x⁴ = -3 + 6i + -10ix

Reorder the terms:
6I + -12iI + 10ix + -10ix + 8ixI + -2ix² + 4ix²I + -2ix³ + -8x + -10xI + 6x² + 2x²I + 2x³I + -1x⁴ = -3 + 6i + -10ix

Combine like terms: 10ix + -10ix = 0
6I + -12iI + 0 + 8ixI + -2ix² + 4ix²I + -2ix³ + -8x + -10xI + 6x² + 2x²I + 2x³I + -1x⁴ = -3 + 6i + -10ix
6I + -12iI + 8ixI + -2ix² + 4ix²I + -2ix³ + -8x + -10xI + 6x² + 2x²I + 2x³I + -1x⁴ = -3 + 6i + -10ix

Add '2ix²' to each side of the equation.
6I + -12iI + 8ixI + -2ix² + 4ix²I + -2ix³ + -8x + -10xI + 6x² + 2x²I + 2x³I + 2ix² + -1x⁴ = -3 + 6i + -10ix + 2ix²

Reorder the terms:
6I + -12iI + 8ixI + -2ix² + 2ix² + 4ix²I + -2ix³ + -8x + -10xI + 6x² + 2x²I + 2x³I + -1x⁴ = -3 + 6i + -10ix + 2ix²

Combine like terms: -2ix² + 2ix² = 0
6I + -12iI + 8ixI + 0 + 4ix²I + -2ix³ + -8x + -10xI + 6x² + 2x²I + 2x³I + -1x⁴ = -3 + 6i + -10ix + 2ix²
6I + -12iI + 8ixI + 4ix²I + -2ix³ + -8x + -10xI + 6x² + 2x²I + 2x³I + -1x⁴ = -3 + 6i + -10ix + 2ix²

Add '2ix³' to each side of the equation.
6I + -12iI + 8ixI + 4ix²I + -2ix³ + -8x + -10xI + 6x² + 2x²I + 2x³I + 2ix³ + -1x⁴ = -3 + 6i + -10ix + 2ix² + 2ix³

Reorder the terms:
6I + -12iI + 8ixI + 4ix²I + -2ix³ + 2ix³ + -8x + -10xI + 6x² + 2x²I + 2x³I + -1x⁴ = -3 + 6i + -10ix + 2ix² + 2ix³

Combine like terms: -2ix³ + 2ix³ = 0
6I + -12iI + 8ixI + 4ix²I + 0 + -8x + -10xI + 6x² + 2x²I + 2x³I + -1x⁴ = -3 + 6i + -10ix + 2ix² + 2ix³
6I + -12iI + 8ixI + 4ix²I + -8x + -10xI + 6x² + 2x²I + 2x³I + -1x⁴ = -3 + 6i + -10ix + 2ix² + 2ix³

Add '8x' to each side of the equation.
6I + -12iI + 8ixI + 4ix²I + -8x + -10xI + 6x² + 2x²I + 2x³I + 8x + -1x⁴ = -3 + 6i + -10ix + 2ix² + 2ix³ + 8x

Reorder the terms:
6I + -12iI + 8ixI + 4ix²I + -8x + 8x + -10xI + 6x² + 2x²I + 2x³I + -1x⁴ = -3 + 6i + -10ix + 2ix² + 2ix³ + 8x

Combine like terms: -8x + 8x = 0
6I + -12iI + 8ixI + 4ix²I + 0 + -10xI + 6x² + 2x²I + 2x³I + -1x⁴ = -3 + 6i + -10ix + 2ix² + 2ix³ + 8x
6I + -12iI + 8ixI + 4ix²I + -10xI + 6x² + 2x²I + 2x³I + -1x⁴ = -3 + 6i + -10ix + 2ix² + 2ix³ + 8x

Add '-6x²' to each side of the equation.
6I + -12iI + 8ixI + 4ix²I + -10xI + 6x² + 2x²I + 2x³I + -6x² + -1x⁴ = -3 + 6i + -10ix + 2ix² + 2ix³ + 8x + -6x²

Reorder the terms:
6I + -12iI + 8ixI + 4ix²I + -10xI + 6x² + -6x² + 2x²I + 2x³I + -1x⁴ = -3 + 6i + -10ix + 2ix² + 2ix³ + 8x + -6x²

Combine like terms: 6x² + -6x² = 0
6I + -12iI + 8ixI + 4ix²I + -10xI + 0 + 2x²I + 2x³I + -1x⁴ = -3 + 6i + -10ix + 2ix² + 2ix³ + 8x + -6x²
6I + -12iI + 8ixI + 4ix²I + -10xI + 2x²I + 2x³I + -1x⁴ = -3 + 6i + -10ix + 2ix² + 2ix³ + 8x + -6x²

Add 'x⁴' to each side of the equation.
6I + -12iI + 8ixI + 4ix²I + -10xI + 2x²I + 2x³I + -1x⁴ + x⁴ = -3 + 6i + -10ix + 2ix² + 2ix³ + 8x + -6x² + x⁴

Combine like terms: -1x⁴ + x⁴ = 0
6I + -12iI + 8ixI + 4ix²I + -10xI + 2x²I + 2x³I + 0 = -3 + 6i + -10ix + 2ix² + 2ix³ + 8x + -6x² + x⁴
6I + -12iI + 8ixI + 4ix²I + -10xI + 2x²I + 2x³I = -3 + 6i + -10ix + 2ix² + 2ix³ + 8x + -6x² + x⁴

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.
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=2(x-1)(x+3)(x-1+2i)(x-1-2I)

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Solution for =2(x-1)(x+3)(x-1+2i)(x-1-2I) equation:

Subproblem 1

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