(x+1)(x-3)(x+(4+3i))(x-(4+3i))=0

Simple and best practice solution for (x+1)(x-3)(x+(4+3i))(x-(4+3i))=0 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.

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Solution for (x+1)(x-3)(x+(4+3i))(x-(4+3i))=0 equation:

Simplifying
(x + 1)(x + -3)(x + (4 + 3i))(x + -1(4 + 3i)) = 0

Reorder the terms:
(1 + x)(x + -3)(x + (4 + 3i))(x + -1(4 + 3i)) = 0

Reorder the terms:
(1 + x)(-3 + x)(x + (4 + 3i))(x + -1(4 + 3i)) = 0

Remove parenthesis around (4 + 3i)
(1 + x)(-3 + x)(x + 4 + 3i)(x + -1(4 + 3i)) = 0

Reorder the terms:
(1 + x)(-3 + x)(4 + 3i + x)(x + -1(4 + 3i)) = 0
(1 + x)(-3 + x)(4 + 3i + x)(x + (4 * -1 + 3i * -1)) = 0
(1 + x)(-3 + x)(4 + 3i + x)(x + (-4 + -3i)) = 0

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

Multiply (1 + x) * (-3 + x)
(1(-3 + x) + x(-3 + x))(4 + 3i + x)(-4 + -3i + x) = 0
((-3 * 1 + x * 1) + x(-3 + x))(4 + 3i + x)(-4 + -3i + x) = 0
((-3 + 1x) + x(-3 + x))(4 + 3i + x)(-4 + -3i + x) = 0
(-3 + 1x + (-3 * x + x * x))(4 + 3i + x)(-4 + -3i + x) = 0
(-3 + 1x + (-3x + x²))(4 + 3i + x)(-4 + -3i + x) = 0

Combine like terms: 1x + -3x = -2x
(-3 + -2x + x²)(4 + 3i + x)(-4 + -3i + x) = 0

Multiply (-3 + -2x + x²) * (4 + 3i + x)
(-3(4 + 3i + x) + -2x * (4 + 3i + x) + x²(4 + 3i + x))(-4 + -3i + x) = 0
((4 * -3 + 3i * -3 + x * -3) + -2x * (4 + 3i + x) + x²(4 + 3i + x))(-4 + -3i + x) = 0
((-12 + -9i + -3x) + -2x * (4 + 3i + x) + x²(4 + 3i + x))(-4 + -3i + x) = 0
(-12 + -9i + -3x + (4 * -2x + 3i * -2x + x * -2x) + x²(4 + 3i + x))(-4 + -3i + x) = 0

Reorder the terms:
(-12 + -9i + -3x + (-6ix + -8x + -2x²) + x²(4 + 3i + x))(-4 + -3i + x) = 0
(-12 + -9i + -3x + (-6ix + -8x + -2x²) + x²(4 + 3i + x))(-4 + -3i + x) = 0
(-12 + -9i + -3x + -6ix + -8x + -2x² + (4 * x² + 3i * x² + x * x²))(-4 + -3i + x) = 0

Reorder the terms:
(-12 + -9i + -3x + -6ix + -8x + -2x² + (3ix² + 4x² + x³))(-4 + -3i + x) = 0
(-12 + -9i + -3x + -6ix + -8x + -2x² + (3ix² + 4x² + x³))(-4 + -3i + x) = 0

Reorder the terms:
(-12 + -9i + -6ix + 3ix² + -3x + -8x + -2x² + 4x² + x³)(-4 + -3i + x) = 0

Combine like terms: -3x + -8x = -11x
(-12 + -9i + -6ix + 3ix² + -11x + -2x² + 4x² + x³)(-4 + -3i + x) = 0

Combine like terms: -2x² + 4x² = 2x²
(-12 + -9i + -6ix + 3ix² + -11x + 2x² + x³)(-4 + -3i + x) = 0

Multiply (-12 + -9i + -6ix + 3ix² + -11x + 2x² + x³) * (-4 + -3i + x)
(-12(-4 + -3i + x) + -9i * (-4 + -3i + x) + -6ix * (-4 + -3i + x) + 3ix² * (-4 + -3i + x) + -11x * (-4 + -3i + x) + 2x² * (-4 + -3i + x) + x³(-4 + -3i + x)) = 0
((-4 * -12 + -3i * -12 + x * -12) + -9i * (-4 + -3i + x) + -6ix * (-4 + -3i + x) + 3ix² * (-4 + -3i + x) + -11x * (-4 + -3i + x) + 2x² * (-4 + -3i + x) + x³(-4 + -3i + x)) = 0
((48 + 36i + -12x) + -9i * (-4 + -3i + x) + -6ix * (-4 + -3i + x) + 3ix² * (-4 + -3i + x) + -11x * (-4 + -3i + x) + 2x² * (-4 + -3i + x) + x³(-4 + -3i + x)) = 0
(48 + 36i + -12x + (-4 * -9i + -3i * -9i + x * -9i) + -6ix * (-4 + -3i + x) + 3ix² * (-4 + -3i + x) + -11x * (-4 + -3i + x) + 2x² * (-4 + -3i + x) + x³(-4 + -3i + x)) = 0

Reorder the terms:
(48 + 36i + -12x + (36i + -9ix + 27i²) + -6ix * (-4 + -3i + x) + 3ix² * (-4 + -3i + x) + -11x * (-4 + -3i + x) + 2x² * (-4 + -3i + x) + x³(-4 + -3i + x)) = 0
(48 + 36i + -12x + (36i + -9ix + 27i²) + -6ix * (-4 + -3i + x) + 3ix² * (-4 + -3i + x) + -11x * (-4 + -3i + x) + 2x² * (-4 + -3i + x) + x³(-4 + -3i + x)) = 0
(48 + 36i + -12x + 36i + -9ix + 27i² + (-4 * -6ix + -3i * -6ix + x * -6ix) + 3ix² * (-4 + -3i + x) + -11x * (-4 + -3i + x) + 2x² * (-4 + -3i + x) + x³(-4 + -3i + x)) = 0

Reorder the terms:
(48 + 36i + -12x + 36i + -9ix + 27i² + (24ix + -6ix² + 18i²x) + 3ix² * (-4 + -3i + x) + -11x * (-4 + -3i + x) + 2x² * (-4 + -3i + x) + x³(-4 + -3i + x)) = 0
(48 + 36i + -12x + 36i + -9ix + 27i² + (24ix + -6ix² + 18i²x) + 3ix² * (-4 + -3i + x) + -11x * (-4 + -3i + x) + 2x² * (-4 + -3i + x) + x³(-4 + -3i + x)) = 0
(48 + 36i + -12x + 36i + -9ix + 27i² + 24ix + -6ix² + 18i²x + (-4 * 3ix² + -3i * 3ix² + x * 3ix²) + -11x * (-4 + -3i + x) + 2x² * (-4 + -3i + x) + x³(-4 + -3i + x)) = 0

Reorder the terms:
(48 + 36i + -12x + 36i + -9ix + 27i² + 24ix + -6ix² + 18i²x + (-12ix² + 3ix³ + -9i²x²) + -11x * (-4 + -3i + x) + 2x² * (-4 + -3i + x) + x³(-4 + -3i + x)) = 0
(48 + 36i + -12x + 36i + -9ix + 27i² + 24ix + -6ix² + 18i²x + (-12ix² + 3ix³ + -9i²x²) + -11x * (-4 + -3i + x) + 2x² * (-4 + -3i + x) + x³(-4 + -3i + x)) = 0
(48 + 36i + -12x + 36i + -9ix + 27i² + 24ix + -6ix² + 18i²x + -12ix² + 3ix³ + -9i²x² + (-4 * -11x + -3i * -11x + x * -11x) + 2x² * (-4 + -3i + x) + x³(-4 + -3i + x)) = 0

Reorder the terms:
(48 + 36i + -12x + 36i + -9ix + 27i² + 24ix + -6ix² + 18i²x + -12ix² + 3ix³ + -9i²x² + (33ix + 44x + -11x²) + 2x² * (-4 + -3i + x) + x³(-4 + -3i + x)) = 0
(48 + 36i + -12x + 36i + -9ix + 27i² + 24ix + -6ix² + 18i²x + -12ix² + 3ix³ + -9i²x² + (33ix + 44x + -11x²) + 2x² * (-4 + -3i + x) + x³(-4 + -3i + x)) = 0
(48 + 36i + -12x + 36i + -9ix + 27i² + 24ix + -6ix² + 18i²x + -12ix² + 3ix³ + -9i²x² + 33ix + 44x + -11x² + (-4 * 2x² + -3i * 2x² + x * 2x²) + x³(-4 + -3i + x)) = 0

Reorder the terms:
(48 + 36i + -12x + 36i + -9ix + 27i² + 24ix + -6ix² + 18i²x + -12ix² + 3ix³ + -9i²x² + 33ix + 44x + -11x² + (-6ix² + -8x² + 2x³) + x³(-4 + -3i + x)) = 0
(48 + 36i + -12x + 36i + -9ix + 27i² + 24ix + -6ix² + 18i²x + -12ix² + 3ix³ + -9i²x² + 33ix + 44x + -11x² + (-6ix² + -8x² + 2x³) + x³(-4 + -3i + x)) = 0
(48 + 36i + -12x + 36i + -9ix + 27i² + 24ix + -6ix² + 18i²x + -12ix² + 3ix³ + -9i²x² + 33ix + 44x + -11x² + -6ix² + -8x² + 2x³ + (-4 * x³ + -3i * x³ + x * x³)) = 0

Reorder the terms:
(48 + 36i + -12x + 36i + -9ix + 27i² + 24ix + -6ix² + 18i²x + -12ix² + 3ix³ + -9i²x² + 33ix + 44x + -11x² + -6ix² + -8x² + 2x³ + (-3ix³ + -4x³ + x⁴)) = 0
(48 + 36i + -12x + 36i + -9ix + 27i² + 24ix + -6ix² + 18i²x + -12ix² + 3ix³ + -9i²x² + 33ix + 44x + -11x² + -6ix² + -8x² + 2x³ + (-3ix³ + -4x³ + x⁴)) = 0

Reorder the terms:
(48 + 36i + 36i + -9ix + 24ix + 33ix + -6ix² + -12ix² + -6ix² + 3ix³ + -3ix³ + 27i² + 18i²x + -9i²x² + -12x + 44x + -11x² + -8x² + 2x³ + -4x³ + x⁴) = 0

Combine like terms: 36i + 36i = 72i
(48 + 72i + -9ix + 24ix + 33ix + -6ix² + -12ix² + -6ix² + 3ix³ + -3ix³ + 27i² + 18i²x + -9i²x² + -12x + 44x + -11x² + -8x² + 2x³ + -4x³ + x⁴) = 0

Combine like terms: -9ix + 24ix = 15ix
(48 + 72i + 15ix + 33ix + -6ix² + -12ix² + -6ix² + 3ix³ + -3ix³ + 27i² + 18i²x + -9i²x² + -12x + 44x + -11x² + -8x² + 2x³ + -4x³ + x⁴) = 0

Combine like terms: 15ix + 33ix = 48ix
(48 + 72i + 48ix + -6ix² + -12ix² + -6ix² + 3ix³ + -3ix³ + 27i² + 18i²x + -9i²x² + -12x + 44x + -11x² + -8x² + 2x³ + -4x³ + x⁴) = 0

Combine like terms: -6ix² + -12ix² = -18ix²
(48 + 72i + 48ix + -18ix² + -6ix² + 3ix³ + -3ix³ + 27i² + 18i²x + -9i²x² + -12x + 44x + -11x² + -8x² + 2x³ + -4x³ + x⁴) = 0

Combine like terms: -18ix² + -6ix² = -24ix²
(48 + 72i + 48ix + -24ix² + 3ix³ + -3ix³ + 27i² + 18i²x + -9i²x² + -12x + 44x + -11x² + -8x² + 2x³ + -4x³ + x⁴) = 0

Combine like terms: 3ix³ + -3ix³ = 0
(48 + 72i + 48ix + -24ix² + 0 + 27i² + 18i²x + -9i²x² + -12x + 44x + -11x² + -8x² + 2x³ + -4x³ + x⁴) = 0
(48 + 72i + 48ix + -24ix² + 27i² + 18i²x + -9i²x² + -12x + 44x + -11x² + -8x² + 2x³ + -4x³ + x⁴) = 0

Combine like terms: -12x + 44x = 32x
(48 + 72i + 48ix + -24ix² + 27i² + 18i²x + -9i²x² + 32x + -11x² + -8x² + 2x³ + -4x³ + x⁴) = 0

Combine like terms: -11x² + -8x² = -19x²
(48 + 72i + 48ix + -24ix² + 27i² + 18i²x + -9i²x² + 32x + -19x² + 2x³ + -4x³ + x⁴) = 0

Combine like terms: 2x³ + -4x³ = -2x³
(48 + 72i + 48ix + -24ix² + 27i² + 18i²x + -9i²x² + 32x + -19x² + -2x³ + x⁴) = 0

Solving
48 + 72i + 48ix + -24ix² + 27i² + 18i²x + -9i²x² + 32x + -19x² + -2x³ + x⁴ = 0

Solving for variable 'i'.

The solution to this equation could not be determined.

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(x+1)(x-3)(x+(4+3i))(x-(4+3i))=0

Simple and best practice solution for (x+1)(x-3)(x+(4+3i))(x-(4+3i))=0 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 (x+1)(x-3)(x+(4+3i))(x-(4+3i))=0 equation:

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