(x-6)(x-3i)(x+3i)(x-(1+2i))(x-(1-2i))=60

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Solution for (x-6)(x-3i)(x+3i)(x-(1+2i))(x-(1-2i))=60 equation:

Simplifying
(x + -6)(x + -3i)(x + 3i)(x + -1(1 + 2i))(x + -1(1 + -2i)) = 60

Reorder the terms:
(-6 + x)(x + -3i)(x + 3i)(x + -1(1 + 2i))(x + -1(1 + -2i)) = 60

Reorder the terms:
(-6 + x)(-3i + x)(x + 3i)(x + -1(1 + 2i))(x + -1(1 + -2i)) = 60

Reorder the terms:
(-6 + x)(-3i + x)(3i + x)(x + -1(1 + 2i))(x + -1(1 + -2i)) = 60
(-6 + x)(-3i + x)(3i + x)(x + (1 * -1 + 2i * -1))(x + -1(1 + -2i)) = 60
(-6 + x)(-3i + x)(3i + x)(x + (-1 + -2i))(x + -1(1 + -2i)) = 60

Reorder the terms:
(-6 + x)(-3i + x)(3i + x)(-1 + -2i + x)(x + -1(1 + -2i)) = 60
(-6 + x)(-3i + x)(3i + x)(-1 + -2i + x)(x + (1 * -1 + -2i * -1)) = 60
(-6 + x)(-3i + x)(3i + x)(-1 + -2i + x)(x + (-1 + 2i)) = 60

Reorder the terms:
(-6 + x)(-3i + x)(3i + x)(-1 + -2i + x)(-1 + 2i + x) = 60

Multiply (-6 + x) * (-3i + x)
(-6(-3i + x) + x(-3i + x))(3i + x)(-1 + -2i + x)(-1 + 2i + x) = 60
((-3i * -6 + x * -6) + x(-3i + x))(3i + x)(-1 + -2i + x)(-1 + 2i + x) = 60
((18i + -6x) + x(-3i + x))(3i + x)(-1 + -2i + x)(-1 + 2i + x) = 60
(18i + -6x + (-3i * x + x * x))(3i + x)(-1 + -2i + x)(-1 + 2i + x) = 60
(18i + -6x + (-3ix + x²))(3i + x)(-1 + -2i + x)(-1 + 2i + x) = 60

Reorder the terms:
(18i + -3ix + -6x + x²)(3i + x)(-1 + -2i + x)(-1 + 2i + x) = 60
(18i + -3ix + -6x + x²)(3i + x)(-1 + -2i + x)(-1 + 2i + x) = 60

Multiply (18i + -3ix + -6x + x²) * (3i + x)
(18i * (3i + x) + -3ix * (3i + x) + -6x * (3i + x) + x²(3i + x))(-1 + -2i + x)(-1 + 2i + x) = 60
((3i * 18i + x * 18i) + -3ix * (3i + x) + -6x * (3i + x) + x²(3i + x))(-1 + -2i + x)(-1 + 2i + x) = 60

Reorder the terms:
((18ix + 54i²) + -3ix * (3i + x) + -6x * (3i + x) + x²(3i + x))(-1 + -2i + x)(-1 + 2i + x) = 60
((18ix + 54i²) + -3ix * (3i + x) + -6x * (3i + x) + x²(3i + x))(-1 + -2i + x)(-1 + 2i + x) = 60
(18ix + 54i² + (3i * -3ix + x * -3ix) + -6x * (3i + x) + x²(3i + x))(-1 + -2i + x)(-1 + 2i + x) = 60

Reorder the terms:
(18ix + 54i² + (-3ix² + -9i²x) + -6x * (3i + x) + x²(3i + x))(-1 + -2i + x)(-1 + 2i + x) = 60
(18ix + 54i² + (-3ix² + -9i²x) + -6x * (3i + x) + x²(3i + x))(-1 + -2i + x)(-1 + 2i + x) = 60
(18ix + 54i² + -3ix² + -9i²x + (3i * -6x + x * -6x) + x²(3i + x))(-1 + -2i + x)(-1 + 2i + x) = 60
(18ix + 54i² + -3ix² + -9i²x + (-18ix + -6x²) + x²(3i + x))(-1 + -2i + x)(-1 + 2i + x) = 60
(18ix + 54i² + -3ix² + -9i²x + -18ix + -6x² + (3i * x² + x * x²))(-1 + -2i + x)(-1 + 2i + x) = 60
(18ix + 54i² + -3ix² + -9i²x + -18ix + -6x² + (3ix² + x³))(-1 + -2i + x)(-1 + 2i + x) = 60

Reorder the terms:
(18ix + -18ix + -3ix² + 3ix² + 54i² + -9i²x + -6x² + x³)(-1 + -2i + x)(-1 + 2i + x) = 60

Combine like terms: 18ix + -18ix = 0
(0 + -3ix² + 3ix² + 54i² + -9i²x + -6x² + x³)(-1 + -2i + x)(-1 + 2i + x) = 60
(-3ix² + 3ix² + 54i² + -9i²x + -6x² + x³)(-1 + -2i + x)(-1 + 2i + x) = 60

Combine like terms: -3ix² + 3ix² = 0
(0 + 54i² + -9i²x + -6x² + x³)(-1 + -2i + x)(-1 + 2i + x) = 60
(54i² + -9i²x + -6x² + x³)(-1 + -2i + x)(-1 + 2i + x) = 60

Multiply (54i² + -9i²x + -6x² + x³) * (-1 + -2i + x)
(54i² * (-1 + -2i + x) + -9i²x * (-1 + -2i + x) + -6x² * (-1 + -2i + x) + x³(-1 + -2i + x))(-1 + 2i + x) = 60
((-1 * 54i² + -2i * 54i² + x * 54i²) + -9i²x * (-1 + -2i + x) + -6x² * (-1 + -2i + x) + x³(-1 + -2i + x))(-1 + 2i + x) = 60

Reorder the terms:
((-54i² + 54i²x + -108i³) + -9i²x * (-1 + -2i + x) + -6x² * (-1 + -2i + x) + x³(-1 + -2i + x))(-1 + 2i + x) = 60
((-54i² + 54i²x + -108i³) + -9i²x * (-1 + -2i + x) + -6x² * (-1 + -2i + x) + x³(-1 + -2i + x))(-1 + 2i + x) = 60
(-54i² + 54i²x + -108i³ + (-1 * -9i²x + -2i * -9i²x + x * -9i²x) + -6x² * (-1 + -2i + x) + x³(-1 + -2i + x))(-1 + 2i + x) = 60

Reorder the terms:
(-54i² + 54i²x + -108i³ + (9i²x + -9i²x² + 18i³x) + -6x² * (-1 + -2i + x) + x³(-1 + -2i + x))(-1 + 2i + x) = 60
(-54i² + 54i²x + -108i³ + (9i²x + -9i²x² + 18i³x) + -6x² * (-1 + -2i + x) + x³(-1 + -2i + x))(-1 + 2i + x) = 60
(-54i² + 54i²x + -108i³ + 9i²x + -9i²x² + 18i³x + (-1 * -6x² + -2i * -6x² + x * -6x²) + x³(-1 + -2i + x))(-1 + 2i + x) = 60

Reorder the terms:
(-54i² + 54i²x + -108i³ + 9i²x + -9i²x² + 18i³x + (12ix² + 6x² + -6x³) + x³(-1 + -2i + x))(-1 + 2i + x) = 60
(-54i² + 54i²x + -108i³ + 9i²x + -9i²x² + 18i³x + (12ix² + 6x² + -6x³) + x³(-1 + -2i + x))(-1 + 2i + x) = 60
(-54i² + 54i²x + -108i³ + 9i²x + -9i²x² + 18i³x + 12ix² + 6x² + -6x³ + (-1 * x³ + -2i * x³ + x * x³))(-1 + 2i + x) = 60

Reorder the terms:
(-54i² + 54i²x + -108i³ + 9i²x + -9i²x² + 18i³x + 12ix² + 6x² + -6x³ + (-2ix³ + -1x³ + x⁴))(-1 + 2i + x) = 60
(-54i² + 54i²x + -108i³ + 9i²x + -9i²x² + 18i³x + 12ix² + 6x² + -6x³ + (-2ix³ + -1x³ + x⁴))(-1 + 2i + x) = 60

Reorder the terms:
(12ix² + -2ix³ + -54i² + 54i²x + 9i²x + -9i²x² + -108i³ + 18i³x + 6x² + -6x³ + -1x³ + x⁴)(-1 + 2i + x) = 60

Combine like terms: 54i²x + 9i²x = 63i²x
(12ix² + -2ix³ + -54i² + 63i²x + -9i²x² + -108i³ + 18i³x + 6x² + -6x³ + -1x³ + x⁴)(-1 + 2i + x) = 60

Combine like terms: -6x³ + -1x³ = -7x³
(12ix² + -2ix³ + -54i² + 63i²x + -9i²x² + -108i³ + 18i³x + 6x² + -7x³ + x⁴)(-1 + 2i + x) = 60

Multiply (12ix² + -2ix³ + -54i² + 63i²x + -9i²x² + -108i³ + 18i³x + 6x² + -7x³ + x⁴) * (-1 + 2i + x)
(12ix² * (-1 + 2i + x) + -2ix³ * (-1 + 2i + x) + -54i² * (-1 + 2i + x) + 63i²x * (-1 + 2i + x) + -9i²x² * (-1 + 2i + x) + -108i³ * (-1 + 2i + x) + 18i³x * (-1 + 2i + x) + 6x² * (-1 + 2i + x) + -7x³ * (-1 + 2i + x) + x⁴(-1 + 2i + x)) = 60
((-1 * 12ix² + 2i * 12ix² + x * 12ix²) + -2ix³ * (-1 + 2i + x) + -54i² * (-1 + 2i + x) + 63i²x * (-1 + 2i + x) + -9i²x² * (-1 + 2i + x) + -108i³ * (-1 + 2i + x) + 18i³x * (-1 + 2i + x) + 6x² * (-1 + 2i + x) + -7x³ * (-1 + 2i + x) + x⁴(-1 + 2i + x)) = 60

Reorder the terms:
((-12ix² + 12ix³ + 24i²x²) + -2ix³ * (-1 + 2i + x) + -54i² * (-1 + 2i + x) + 63i²x * (-1 + 2i + x) + -9i²x² * (-1 + 2i + x) + -108i³ * (-1 + 2i + x) + 18i³x * (-1 + 2i + x) + 6x² * (-1 + 2i + x) + -7x³ * (-1 + 2i + x) + x⁴(-1 + 2i + x)) = 60
((-12ix² + 12ix³ + 24i²x²) + -2ix³ * (-1 + 2i + x) + -54i² * (-1 + 2i + x) + 63i²x * (-1 + 2i + x) + -9i²x² * (-1 + 2i + x) + -108i³ * (-1 + 2i + x) + 18i³x * (-1 + 2i + x) + 6x² * (-1 + 2i + x) + -7x³ * (-1 + 2i + x) + x⁴(-1 + 2i + x)) = 60
(-12ix² + 12ix³ + 24i²x² + (-1 * -2ix³ + 2i * -2ix³ + x * -2ix³) + -54i² * (-1 + 2i + x) + 63i²x * (-1 + 2i + x) + -9i²x² * (-1 + 2i + x) + -108i³ * (-1 + 2i + x) + 18i³x * (-1 + 2i + x) + 6x² * (-1 + 2i + x) + -7x³ * (-1 + 2i + x) + x⁴(-1 + 2i + x)) = 60

Reorder the terms:
(-12ix² + 12ix³ + 24i²x² + (2ix³ + -2ix⁴ + -4i²x³) + -54i² * (-1 + 2i + x) + 63i²x * (-1 + 2i + x) + -9i²x² * (-1 + 2i + x) + -108i³ * (-1 + 2i + x) + 18i³x * (-1 + 2i + x) + 6x² * (-1 + 2i + x) + -7x³ * (-1 + 2i + x) + x⁴(-1 + 2i + x)) = 60
(-12ix² + 12ix³ + 24i²x² + (2ix³ + -2ix⁴ + -4i²x³) + -54i² * (-1 + 2i + x) + 63i²x * (-1 + 2i + x) + -9i²x² * (-1 + 2i + x) + -108i³ * (-1 + 2i + x) + 18i³x * (-1 + 2i + x) + 6x² * (-1 + 2i + x) + -7x³ * (-1 + 2i + x) + x⁴(-1 + 2i + x)) = 60
(-12ix² + 12ix³ + 24i²x² + 2ix³ + -2ix⁴ + -4i²x³ + (-1 * -54i² + 2i * -54i² + x * -54i²) + 63i²x * (-1 + 2i + x) + -9i²x² * (-1 + 2i + x) + -108i³ * (-1 + 2i + x) + 18i³x * (-1 + 2i + x) + 6x² * (-1 + 2i + x) + -7x³ * (-1 + 2i + x) + x⁴(-1 + 2i + x)) = 60

Reorder the terms:
(-12ix² + 12ix³ + 24i²x² + 2ix³ + -2ix⁴ + -4i²x³ + (54i² + -54i²x + -108i³) + 63i²x * (-1 + 2i + x) + -9i²x² * (-1 + 2i + x) + -108i³ * (-1 + 2i + x) + 18i³x * (-1 + 2i + x) + 6x² * (-1 + 2i + x) + -7x³ * (-1 + 2i + x) + x⁴(-1 + 2i + x)) = 60
(-12ix² + 12ix³ + 24i²x² + 2ix³ + -2ix⁴ + -4i²x³ + (54i² + -54i²x + -108i³) + 63i²x * (-1 + 2i + x) + -9i²x² * (-1 + 2i + x) + -108i³ * (-1 + 2i + x) + 18i³x * (-1 + 2i + x) + 6x² * (-1 + 2i + x) + -7x³ * (-1 + 2i + x) + x⁴(-1 + 2i + x)) = 60
(-12ix² + 12ix³ + 24i²x² + 2ix³ + -2ix⁴ + -4i²x³ + 54i² + -54i²x + -108i³ + (-1 * 63i²x + 2i * 63i²x + x * 63i²x) + -9i²x² * (-1 + 2i + x) + -108i³ * (-1 + 2i + x) + 18i³x * (-1 + 2i + x) + 6x² * (-1 + 2i + x) + -7x³ * (-1 + 2i + x) + x⁴(-1 + 2i + x)) = 60

Reorder the terms:
(-12ix² + 12ix³ + 24i²x² + 2ix³ + -2ix⁴ + -4i²x³ + 54i² + -54i²x + -108i³ + (-63i²x + 63i²x² + 126i³x) + -9i²x² * (-1 + 2i + x) + -108i³ * (-1 + 2i + x) + 18i³x * (-1 + 2i + x) + 6x² * (-1 + 2i + x) + -7x³ * (-1 + 2i + x) + x⁴(-1 + 2i + x)) = 60
(-12ix² + 12ix³ + 24i²x² + 2ix³ + -2ix⁴ + -4i²x³ + 54i² + -54i²x + -108i³ + (-63i²x + 63i²x² + 126i³x) + -9i²x² * (-1 + 2i + x) + -108i³ * (-1 + 2i + x) + 18i³x * (-1 + 2i + x) + 6x² * (-1 + 2i + x) + -7x³ * (-1 + 2i + x) + x⁴(-1 + 2i + x)) = 60
(-12ix² + 12ix³ + 24i²x² + 2ix³ + -2ix⁴ + -4i²x³ + 54i² + -54i²x + -108i³ + -63i²x + 63i²x² + 126i³x + (-1 * -9i²x² + 2i * -9i²x² + x * -9i²x²) + -108i³ * (-1 + 2i + x) + 18i³x * (-1 + 2i + x) + 6x² * (-1 + 2i + x) + -7x³ * (-1 + 2i + x) + x⁴(-1 + 2i + x)) = 60

Reorder the terms:
(-12ix² + 12ix³ + 24i²x² + 2ix³ + -2ix⁴ + -4i²x³ + 54i² + -54i²x + -108i³ + -63i²x + 63i²x² + 126i³x + (9i²x² + -9i²x³ + -18i³x²) + -108i³ * (-1 + 2i + x) + 18i³x * (-1 + 2i + x) + 6x² * (-1 + 2i + x) + -7x³ * (-1 + 2i + x) + x⁴(-1 + 2i + x)) = 60
(-12ix² + 12ix³ + 24i²x² + 2ix³ + -2ix⁴ + -4i²x³ + 54i² + -54i²x + -108i³ + -63i²x + 63i²x² + 126i³x + (9i²x² + -9i²x³ + -18i³x²) + -108i³ * (-1 + 2i + x) + 18i³x * (-1 + 2i + x) + 6x² * (-1 + 2i + x) + -7x³ * (-1 + 2i + x) + x⁴(-1 + 2i + x)) = 60
(-12ix² + 12ix³ + 24i²x² + 2ix³ + -2ix⁴ + -4i²x³ + 54i² + -54i²x + -108i³ + -63i²x + 63i²x² + 126i³x + 9i²x² + -9i²x³ + -18i³x² + (-1 * -108i³ + 2i * -108i³ + x * -108i³) + 18i³x * (-1 + 2i + x) + 6x² * (-1 + 2i + x) + -7x³ * (-1 + 2i + x) + x⁴(-1 + 2i + x)) = 60

Reorder the terms:
(-12ix² + 12ix³ + 24i²x² + 2ix³ + -2ix⁴ + -4i²x³ + 54i² + -54i²x + -108i³ + -63i²x + 63i²x² + 126i³x + 9i²x² + -9i²x³ + -18i³x² + (108i³ + -108i³x + -216i⁴) + 18i³x * (-1 + 2i + x) + 6x² * (-1 + 2i + x) + -7x³ * (-1 + 2i + x) + x⁴(-1 + 2i + x)) = 60
(-12ix² + 12ix³ + 24i²x² + 2ix³ + -2ix⁴ + -4i²x³ + 54i² + -54i²x + -108i³ + -63i²x + 63i²x² + 126i³x + 9i²x² + -9i²x³ + -18i³x² + (108i³ + -108i³x + -216i⁴) + 18i³x * (-1 + 2i + x) + 6x² * (-1 + 2i + x) + -7x³ * (-1 + 2i + x) + x⁴(-1 + 2i + x)) = 60
(-12ix² + 12ix³ + 24i²x² + 2ix³ + -2ix⁴ + -4i²x³ + 54i² + -54i²x + -108i³ + -63i²x + 63i²x² + 126i³x + 9i²x² + -9i²x³ + -18i³x² + 108i³ + -108i³x + -216i⁴ + (-1 * 18i³x + 2i * 18i³x + x * 18i³x) + 6x² * (-1 + 2i + x) + -7x³ * (-1 + 2i + x) + x⁴(-1 + 2i + x)) = 60

Reorder the terms:
(-12ix² + 12ix³ + 24i²x² + 2ix³ + -2ix⁴ + -4i²x³ + 54i² + -54i²x + -108i³ + -63i²x + 63i²x² + 126i³x + 9i²x² + -9i²x³ + -18i³x² + 108i³ + -108i³x + -216i⁴ + (-18i³x + 18i³x² + 36i⁴x) + 6x² * (-1 + 2i + x) + -7x³ * (-1 + 2i + x) + x⁴(-1 + 2i + x)) = 60
(-12ix² + 12ix³ + 24i²x² + 2ix³ + -2ix⁴ + -4i²x³ + 54i² + -54i²x + -108i³ + -63i²x + 63i²x² + 126i³x + 9i²x² + -9i²x³ + -18i³x² + 108i³ + -108i³x + -216i⁴ + (-18i³x + 18i³x² + 36i⁴x) + 6x² * (-1 + 2i + x) + -7x³ * (-1 + 2i + x) + x⁴(-1 + 2i + x)) = 60
(-12ix² + 12ix³ + 24i²x² + 2ix³ + -2ix⁴ + -4i²x³ + 54i² + -54i²x + -108i³ + -63i²x + 63i²x² + 126i³x + 9i²x² + -9i²x³ + -18i³x² + 108i³ + -108i³x + -216i⁴ + -18i³x + 18i³x² + 36i⁴x + (-1 * 6x² + 2i * 6x² + x * 6x²) + -7x³ * (-1 + 2i + x) + x⁴(-1 + 2i + x)) = 60

Reorder the terms:
(-12ix² + 12ix³ + 24i²x² + 2ix³ + -2ix⁴ + -4i²x³ + 54i² + -54i²x + -108i³ + -63i²x + 63i²x² + 126i³x + 9i²x² + -9i²x³ + -18i³x² + 108i³ + -108i³x + -216i⁴ + -18i³x + 18i³x² + 36i⁴x + (12ix² + -6x² + 6x³) + -7x³ * (-1 + 2i + x) + x⁴(-1 + 2i + x)) = 60
(-12ix² + 12ix³ + 24i²x² + 2ix³ + -2ix⁴ + -4i²x³ + 54i² + -54i²x + -108i³ + -63i²x + 63i²x² + 126i³x + 9i²x² + -9i²x³ + -18i³x² + 108i³ + -108i³x + -216i⁴ + -18i³x + 18i³x² + 36i⁴x + (12ix² + -6x² + 6x³) + -7x³ * (-1 + 2i + x) + x⁴(-1 + 2i + x)) = 60
(-12ix² + 12ix³ + 24i²x² + 2ix³ + -2ix⁴ + -4i²x³ + 54i² + -54i²x + -108i³ + -63i²x + 63i²x² + 126i³x + 9i²x² + -9i²x³ + -18i³x² + 108i³ + -108i³x + -216i⁴ + -18i³x + 18i³x² + 36i⁴x + 12ix² + -6x² + 6x³ + (-1 * -7x³ + 2i * -7x³ + x * -7x³) + x⁴(-1 + 2i + x)) = 60

Reorder the terms:
(-12ix² + 12ix³ + 24i²x² + 2ix³ + -2ix⁴ + -4i²x³ + 54i² + -54i²x + -108i³ + -63i²x + 63i²x² + 126i³x + 9i²x² + -9i²x³ + -18i³x² + 108i³ + -108i³x + -216i⁴ + -18i³x + 18i³x² + 36i⁴x + 12ix² + -6x² + 6x³ + (-14ix³ + 7x³ + -7x⁴) + x⁴(-1 + 2i + x)) = 60
(-12ix² + 12ix³ + 24i²x² + 2ix³ + -2ix⁴ + -4i²x³ + 54i² + -54i²x + -108i³ + -63i²x + 63i²x² + 126i³x + 9i²x² + -9i²x³ + -18i³x² + 108i³ + -108i³x + -216i⁴ + -18i³x + 18i³x² + 36i⁴x + 12ix² + -6x² + 6x³ + (-14ix³ + 7x³ + -7x⁴) + x⁴(-1 + 2i + x)) = 60
(-12ix² + 12ix³ + 24i²x² + 2ix³ + -2ix⁴ + -4i²x³ + 54i² + -54i²x + -108i³ + -63i²x + 63i²x² + 126i³x + 9i²x² + -9i²x³ + -18i³x² + 108i³ + -108i³x + -216i⁴ + -18i³x + 18i³x² + 36i⁴x + 12ix² + -6x² + 6x³ + -14ix³ + 7x³ + -7x⁴ + (-1 * x⁴ + 2i * x⁴ + x * x⁴)) = 60

Reorder the terms:
(-12ix² + 12ix³ + 24i²x² + 2ix³ + -2ix⁴ + -4i²x³ + 54i² + -54i²x + -108i³ + -63i²x + 63i²x² + 126i³x + 9i²x² + -9i²x³ + -18i³x² + 108i³ + -108i³x + -216i⁴ + -18i³x + 18i³x² + 36i⁴x + 12ix² + -6x² + 6x³ + -14ix³ + 7x³ + -7x⁴ + (2ix⁴ + -1x⁴ + x⁵)) = 60
(-12ix² + 12ix³ + 24i²x² + 2ix³ + -2ix⁴ + -4i²x³ + 54i² + -54i²x + -108i³ + -63i²x + 63i²x² + 126i³x + 9i²x² + -9i²x³ + -18i³x² + 108i³ + -108i³x + -216i⁴ + -18i³x + 18i³x² + 36i⁴x + 12ix² + -6x² + 6x³ + -14ix³ + 7x³ + -7x⁴ + (2ix⁴ + -1x⁴ + x⁵)) = 60

Reorder the terms:
(-12ix² + 12ix² + 12ix³ + 2ix³ + -14ix³ + -2ix⁴ + 2ix⁴ + 54i² + -54i²x + -63i²x + 24i²x² + 63i²x² + 9i²x² + -4i²x³ + -9i²x³ + -108i³ + 108i³ + 126i³x + -108i³x + -18i³x + -18i³x² + 18i³x² + -216i⁴ + 36i⁴x + -6x² + 6x³ + 7x³ + -7x⁴ + -1x⁴ + x⁵) = 60

Combine like terms: -12ix² + 12ix² = 0
(0 + 12ix³ + 2ix³ + -14ix³ + -2ix⁴ + 2ix⁴ + 54i² + -54i²x + -63i²x + 24i²x² + 63i²x² + 9i²x² + -4i²x³ + -9i²x³ + -108i³ + 108i³ + 126i³x + -108i³x + -18i³x + -18i³x² + 18i³x² + -216i⁴ + 36i⁴x + -6x² + 6x³ + 7x³ + -7x⁴ + -1x⁴ + x⁵) = 60
(12ix³ + 2ix³ + -14ix³ + -2ix⁴ + 2ix⁴ + 54i² + -54i²x + -63i²x + 24i²x² + 63i²x² + 9i²x² + -4i²x³ + -9i²x³ + -108i³ + 108i³ + 126i³x + -108i³x + -18i³x + -18i³x² + 18i³x² + -216i⁴ + 36i⁴x + -6x² + 6x³ + 7x³ + -7x⁴ + -1x⁴ + x⁵) = 60

Combine like terms: 12ix³ + 2ix³ = 14ix³
(14ix³ + -14ix³ + -2ix⁴ + 2ix⁴ + 54i² + -54i²x + -63i²x + 24i²x² + 63i²x² + 9i²x² + -4i²x³ + -9i²x³ + -108i³ + 108i³ + 126i³x + -108i³x + -18i³x + -18i³x² + 18i³x² + -216i⁴ + 36i⁴x + -6x² + 6x³ + 7x³ + -7x⁴ + -1x⁴ + x⁵) = 60

Combine like terms: 14ix³ + -14ix³ = 0
(0 + -2ix⁴ + 2ix⁴ + 54i² + -54i²x + -63i²x + 24i²x² + 63i²x² + 9i²x² + -4i²x³ + -9i²x³ + -108i³ + 108i³ + 126i³x + -108i³x + -18i³x + -18i³x² + 18i³x² + -216i⁴ + 36i⁴x + -6x² + 6x³ + 7x³ + -7x⁴ + -1x⁴ + x⁵) = 60
(-2ix⁴ + 2ix⁴ + 54i² + -54i²x + -63i²x + 24i²x² + 63i²x² + 9i²x² + -4i²x³ + -9i²x³ + -108i³ + 108i³ + 126i³x + -108i³x + -18i³x + -18i³x² + 18i³x² + -216i⁴ + 36i⁴x + -6x² + 6x³ + 7x³ + -7x⁴ + -1x⁴ + x⁵) = 60

Combine like terms: -2ix⁴ + 2ix⁴ = 0
(0 + 54i² + -54i²x + -63i²x + 24i²x² + 63i²x² + 9i²x² + -4i²x³ + -9i²x³ + -108i³ + 108i³ + 126i³x + -108i³x + -18i³x + -18i³x² + 18i³x² + -216i⁴ + 36i⁴x + -6x² + 6x³ + 7x³ + -7x⁴ + -1x⁴ + x⁵) = 60
(54i² + -54i²x + -63i²x + 24i²x² + 63i²x² + 9i²x² + -4i²x³ + -9i²x³ + -108i³ + 108i³ + 126i³x + -108i³x + -18i³x + -18i³x² + 18i³x² + -216i⁴ + 36i⁴x + -6x² + 6x³ + 7x³ + -7x⁴ + -1x⁴ + x⁵) = 60

Combine like terms: -54i²x + -63i²x = -117i²x
(54i² + -117i²x + 24i²x² + 63i²x² + 9i²x² + -4i²x³ + -9i²x³ + -108i³ + 108i³ + 126i³x + -108i³x + -18i³x + -18i³x² + 18i³x² + -216i⁴ + 36i⁴x + -6x² + 6x³ + 7x³ + -7x⁴ + -1x⁴ + x⁵) = 60

Combine like terms: 24i²x² + 63i²x² = 87i²x²
(54i² + -117i²x + 87i²x² + 9i²x² + -4i²x³ + -9i²x³ + -108i³ + 108i³ + 126i³x + -108i³x + -18i³x + -18i³x² + 18i³x² + -216i⁴ + 36i⁴x + -6x² + 6x³ + 7x³ + -7x⁴ + -1x⁴ + x⁵) = 60

Combine like terms: 87i²x² + 9i²x² = 96i²x²
(54i² + -117i²x + 96i²x² + -4i²x³ + -9i²x³ + -108i³ + 108i³ + 126i³x + -108i³x + -18i³x + -18i³x² + 18i³x² + -216i⁴ + 36i⁴x + -6x² + 6x³ + 7x³ + -7x⁴ + -1x⁴ + x⁵) = 60

Combine like terms: -4i²x³ + -9i²x³ = -13i²x³
(54i² + -117i²x + 96i²x² + -13i²x³ + -108i³ + 108i³ + 126i³x + -108i³x + -18i³x + -18i³x² + 18i³x² + -216i⁴ + 36i⁴x + -6x² + 6x³ + 7x³ + -7x⁴ + -1x⁴ + x⁵) = 60

Combine like terms: -108i³ + 108i³ = 0
(54i² + -117i²x + 96i²x² + -13i²x³ + 0 + 126i³x + -108i³x + -18i³x + -18i³x² + 18i³x² + -216i⁴ + 36i⁴x + -6x² + 6x³ + 7x³ + -7x⁴ + -1x⁴ + x⁵) = 60
(54i² + -117i²x + 96i²x² + -13i²x³ + 126i³x + -108i³x + -18i³x + -18i³x² + 18i³x² + -216i⁴ + 36i⁴x + -6x² + 6x³ + 7x³ + -7x⁴ + -1x⁴ + x⁵) = 60

Combine like terms: 126i³x + -108i³x = 18i³x
(54i² + -117i²x + 96i²x² + -13i²x³ + 18i³x + -18i³x + -18i³x² + 18i³x² + -216i⁴ + 36i⁴x + -6x² + 6x³ + 7x³ + -7x⁴ + -1x⁴ + x⁵) = 60

Combine like terms: 18i³x + -18i³x = 0
(54i² + -117i²x + 96i²x² + -13i²x³ + 0 + -18i³x² + 18i³x² + -216i⁴ + 36i⁴x + -6x² + 6x³ + 7x³ + -7x⁴ + -1x⁴ + x⁵) = 60
(54i² + -117i²x + 96i²x² + -13i²x³ + -18i³x² + 18i³x² + -216i⁴ + 36i⁴x + -6x² + 6x³ + 7x³ + -7x⁴ + -1x⁴ + x⁵) = 60

Combine like terms: -18i³x² + 18i³x² = 0
(54i² + -117i²x + 96i²x² + -13i²x³ + 0 + -216i⁴ + 36i⁴x + -6x² + 6x³ + 7x³ + -7x⁴ + -1x⁴ + x⁵) = 60
(54i² + -117i²x + 96i²x² + -13i²x³ + -216i⁴ + 36i⁴x + -6x² + 6x³ + 7x³ + -7x⁴ + -1x⁴ + x⁵) = 60

Combine like terms: 6x³ + 7x³ = 13x³
(54i² + -117i²x + 96i²x² + -13i²x³ + -216i⁴ + 36i⁴x + -6x² + 13x³ + -7x⁴ + -1x⁴ + x⁵) = 60

Combine like terms: -7x⁴ + -1x⁴ = -8x⁴
(54i² + -117i²x + 96i²x² + -13i²x³ + -216i⁴ + 36i⁴x + -6x² + 13x³ + -8x⁴ + x⁵) = 60

Solving
54i² + -117i²x + 96i²x² + -13i²x³ + -216i⁴ + 36i⁴x + -6x² + 13x³ + -8x⁴ + x⁵ = 60

Solving for variable 'i'.

Reorder the terms:
-60 + 54i² + -117i²x + 96i²x² + -13i²x³ + -216i⁴ + 36i⁴x + -6x² + 13x³ + -8x⁴ + x⁵ = 60 + -60

Combine like terms: 60 + -60 = 0
-60 + 54i² + -117i²x + 96i²x² + -13i²x³ + -216i⁴ + 36i⁴x + -6x² + 13x³ + -8x⁴ + x⁵ = 0

The solution to this equation could not be determined.
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(x-6)(x-3i)(x+3i)(x-(1+2i))(x-(1-2i))=60

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