(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 + -4 + 3i) = 0

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

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

Reorder the terms:
(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 = 5x
(12 + 9i + 6ix + -3ix² + 5x + -2x² + -4x² + x³)(-4 + 3i + x) = 0

Combine like terms: -2x² + -4x² = -6x²
(12 + 9i + 6ix + -3ix² + 5x + -6x² + x³)(-4 + 3i + x) = 0

Multiply (12 + 9i + 6ix + -3ix² + 5x + -6x² + x³) * (-4 + 3i + x)
(12(-4 + 3i + x) + 9i * (-4 + 3i + x) + 6ix * (-4 + 3i + x) + -3ix² * (-4 + 3i + x) + 5x * (-4 + 3i + x) + -6x² * (-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) + 5x * (-4 + 3i + x) + -6x² * (-4 + 3i + x) + x³(-4 + 3i + x)) = 0
((-48 + 36i + 12x) + 9i * (-4 + 3i + x) + 6ix * (-4 + 3i + x) + -3ix² * (-4 + 3i + x) + 5x * (-4 + 3i + x) + -6x² * (-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) + 5x * (-4 + 3i + x) + -6x² * (-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) + 5x * (-4 + 3i + x) + -6x² * (-4 + 3i + x) + x³(-4 + 3i + x)) = 0
(-48 + 36i + 12x + (-36i + 9ix + 27i²) + 6ix * (-4 + 3i + x) + -3ix² * (-4 + 3i + x) + 5x * (-4 + 3i + x) + -6x² * (-4 + 3i + x) + x³(-4 + 3i + x)) = 0
(-48 + 36i + 12x + -36i + 9ix + 27i² + (-4 * 6ix + 3i * 6ix + x * 6ix) + -3ix² * (-4 + 3i + x) + 5x * (-4 + 3i + x) + -6x² * (-4 + 3i + x) + x³(-4 + 3i + x)) = 0

Reorder the terms:
(-48 + 36i + 12x + -36i + 9ix + 27i² + (-24ix + 6ix² + 18i²x) + -3ix² * (-4 + 3i + x) + 5x * (-4 + 3i + x) + -6x² * (-4 + 3i + x) + x³(-4 + 3i + x)) = 0
(-48 + 36i + 12x + -36i + 9ix + 27i² + (-24ix + 6ix² + 18i²x) + -3ix² * (-4 + 3i + x) + 5x * (-4 + 3i + x) + -6x² * (-4 + 3i + x) + x³(-4 + 3i + x)) = 0
(-48 + 36i + 12x + -36i + 9ix + 27i² + -24ix + 6ix² + 18i²x + (-4 * -3ix² + 3i * -3ix² + x * -3ix²) + 5x * (-4 + 3i + x) + -6x² * (-4 + 3i + x) + x³(-4 + 3i + x)) = 0

Reorder the terms:
(-48 + 36i + 12x + -36i + 9ix + 27i² + -24ix + 6ix² + 18i²x + (12ix² + -3ix³ + -9i²x²) + 5x * (-4 + 3i + x) + -6x² * (-4 + 3i + x) + x³(-4 + 3i + x)) = 0
(-48 + 36i + 12x + -36i + 9ix + 27i² + -24ix + 6ix² + 18i²x + (12ix² + -3ix³ + -9i²x²) + 5x * (-4 + 3i + x) + -6x² * (-4 + 3i + x) + x³(-4 + 3i + x)) = 0
(-48 + 36i + 12x + -36i + 9ix + 27i² + -24ix + 6ix² + 18i²x + 12ix² + -3ix³ + -9i²x² + (-4 * 5x + 3i * 5x + x * 5x) + -6x² * (-4 + 3i + x) + x³(-4 + 3i + x)) = 0

Reorder the terms:
(-48 + 36i + 12x + -36i + 9ix + 27i² + -24ix + 6ix² + 18i²x + 12ix² + -3ix³ + -9i²x² + (15ix + -20x + 5x²) + -6x² * (-4 + 3i + x) + x³(-4 + 3i + x)) = 0
(-48 + 36i + 12x + -36i + 9ix + 27i² + -24ix + 6ix² + 18i²x + 12ix² + -3ix³ + -9i²x² + (15ix + -20x + 5x²) + -6x² * (-4 + 3i + x) + x³(-4 + 3i + x)) = 0
(-48 + 36i + 12x + -36i + 9ix + 27i² + -24ix + 6ix² + 18i²x + 12ix² + -3ix³ + -9i²x² + 15ix + -20x + 5x² + (-4 * -6x² + 3i * -6x² + x * -6x²) + x³(-4 + 3i + x)) = 0

Reorder the terms:
(-48 + 36i + 12x + -36i + 9ix + 27i² + -24ix + 6ix² + 18i²x + 12ix² + -3ix³ + -9i²x² + 15ix + -20x + 5x² + (-18ix² + 24x² + -6x³) + x³(-4 + 3i + x)) = 0
(-48 + 36i + 12x + -36i + 9ix + 27i² + -24ix + 6ix² + 18i²x + 12ix² + -3ix³ + -9i²x² + 15ix + -20x + 5x² + (-18ix² + 24x² + -6x³) + x³(-4 + 3i + x)) = 0
(-48 + 36i + 12x + -36i + 9ix + 27i² + -24ix + 6ix² + 18i²x + 12ix² + -3ix³ + -9i²x² + 15ix + -20x + 5x² + -18ix² + 24x² + -6x³ + (-4 * x³ + 3i * x³ + x * x³)) = 0

Reorder the terms:
(-48 + 36i + 12x + -36i + 9ix + 27i² + -24ix + 6ix² + 18i²x + 12ix² + -3ix³ + -9i²x² + 15ix + -20x + 5x² + -18ix² + 24x² + -6x³ + (3ix³ + -4x³ + x⁴)) = 0
(-48 + 36i + 12x + -36i + 9ix + 27i² + -24ix + 6ix² + 18i²x + 12ix² + -3ix³ + -9i²x² + 15ix + -20x + 5x² + -18ix² + 24x² + -6x³ + (3ix³ + -4x³ + x⁴)) = 0

Reorder the terms:
(-48 + 36i + -36i + 9ix + -24ix + 15ix + 6ix² + 12ix² + -18ix² + -3ix³ + 3ix³ + 27i² + 18i²x + -9i²x² + 12x + -20x + 5x² + 24x² + -6x³ + -4x³ + x⁴) = 0

Combine like terms: 36i + -36i = 0
(-48 + 0 + 9ix + -24ix + 15ix + 6ix² + 12ix² + -18ix² + -3ix³ + 3ix³ + 27i² + 18i²x + -9i²x² + 12x + -20x + 5x² + 24x² + -6x³ + -4x³ + x⁴) = 0
(-48 + 9ix + -24ix + 15ix + 6ix² + 12ix² + -18ix² + -3ix³ + 3ix³ + 27i² + 18i²x + -9i²x² + 12x + -20x + 5x² + 24x² + -6x³ + -4x³ + x⁴) = 0

Combine like terms: 9ix + -24ix = -15ix
(-48 + -15ix + 15ix + 6ix² + 12ix² + -18ix² + -3ix³ + 3ix³ + 27i² + 18i²x + -9i²x² + 12x + -20x + 5x² + 24x² + -6x³ + -4x³ + x⁴) = 0

Combine like terms: -15ix + 15ix = 0
(-48 + 0 + 6ix² + 12ix² + -18ix² + -3ix³ + 3ix³ + 27i² + 18i²x + -9i²x² + 12x + -20x + 5x² + 24x² + -6x³ + -4x³ + x⁴) = 0
(-48 + 6ix² + 12ix² + -18ix² + -3ix³ + 3ix³ + 27i² + 18i²x + -9i²x² + 12x + -20x + 5x² + 24x² + -6x³ + -4x³ + x⁴) = 0

Combine like terms: 6ix² + 12ix² = 18ix²
(-48 + 18ix² + -18ix² + -3ix³ + 3ix³ + 27i² + 18i²x + -9i²x² + 12x + -20x + 5x² + 24x² + -6x³ + -4x³ + x⁴) = 0

Combine like terms: 18ix² + -18ix² = 0
(-48 + 0 + -3ix³ + 3ix³ + 27i² + 18i²x + -9i²x² + 12x + -20x + 5x² + 24x² + -6x³ + -4x³ + x⁴) = 0
(-48 + -3ix³ + 3ix³ + 27i² + 18i²x + -9i²x² + 12x + -20x + 5x² + 24x² + -6x³ + -4x³ + x⁴) = 0

Combine like terms: -3ix³ + 3ix³ = 0
(-48 + 0 + 27i² + 18i²x + -9i²x² + 12x + -20x + 5x² + 24x² + -6x³ + -4x³ + x⁴) = 0
(-48 + 27i² + 18i²x + -9i²x² + 12x + -20x + 5x² + 24x² + -6x³ + -4x³ + x⁴) = 0

Combine like terms: 12x + -20x = -8x
(-48 + 27i² + 18i²x + -9i²x² + -8x + 5x² + 24x² + -6x³ + -4x³ + x⁴) = 0

Combine like terms: 5x² + 24x² = 29x²
(-48 + 27i² + 18i²x + -9i²x² + -8x + 29x² + -6x³ + -4x³ + x⁴) = 0

Combine like terms: -6x³ + -4x³ = -10x³
(-48 + 27i² + 18i²x + -9i²x² + -8x + 29x² + -10x³ + x⁴) = 0

Solving
-48 + 27i² + 18i²x + -9i²x² + -8x + 29x² + -10x³ + x⁴ = 0

Solving for variable 'i'.

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

Add '48' to each side of the equation.
-48 + 27i² + 18i²x + -9i²x² + -8x + 29x² + -10x³ + 48 + x⁴ = 0 + 48

Reorder the terms:
-48 + 48 + 27i² + 18i²x + -9i²x² + -8x + 29x² + -10x³ + x⁴ = 0 + 48

Combine like terms: -48 + 48 = 0
0 + 27i² + 18i²x + -9i²x² + -8x + 29x² + -10x³ + x⁴ = 0 + 48
27i² + 18i²x + -9i²x² + -8x + 29x² + -10x³ + x⁴ = 0 + 48

Combine like terms: 0 + 48 = 48
27i² + 18i²x + -9i²x² + -8x + 29x² + -10x³ + x⁴ = 48

Add '8x' to each side of the equation.
27i² + 18i²x + -9i²x² + -8x + 29x² + -10x³ + 8x + x⁴ = 48 + 8x

Reorder the terms:
27i² + 18i²x + -9i²x² + -8x + 8x + 29x² + -10x³ + x⁴ = 48 + 8x

Combine like terms: -8x + 8x = 0
27i² + 18i²x + -9i²x² + 0 + 29x² + -10x³ + x⁴ = 48 + 8x
27i² + 18i²x + -9i²x² + 29x² + -10x³ + x⁴ = 48 + 8x

Add '-29x²' to each side of the equation.
27i² + 18i²x + -9i²x² + 29x² + -10x³ + -29x² + x⁴ = 48 + 8x + -29x²

Reorder the terms:
27i² + 18i²x + -9i²x² + 29x² + -29x² + -10x³ + x⁴ = 48 + 8x + -29x²

Combine like terms: 29x² + -29x² = 0
27i² + 18i²x + -9i²x² + 0 + -10x³ + x⁴ = 48 + 8x + -29x²
27i² + 18i²x + -9i²x² + -10x³ + x⁴ = 48 + 8x + -29x²

Add '10x³' to each side of the equation.
27i² + 18i²x + -9i²x² + -10x³ + 10x³ + x⁴ = 48 + 8x + -29x² + 10x³

Combine like terms: -10x³ + 10x³ = 0
27i² + 18i²x + -9i²x² + 0 + x⁴ = 48 + 8x + -29x² + 10x³
27i² + 18i²x + -9i²x² + x⁴ = 48 + 8x + -29x² + 10x³

Add '-1x⁴' to each side of the equation.
27i² + 18i²x + -9i²x² + x⁴ + -1x⁴ = 48 + 8x + -29x² + 10x³ + -1x⁴

Combine like terms: x⁴ + -1x⁴ = 0
27i² + 18i²x + -9i²x² + 0 = 48 + 8x + -29x² + 10x³ + -1x⁴
27i² + 18i²x + -9i²x² = 48 + 8x + -29x² + 10x³ + -1x⁴

Reorder the terms:
-48 + 27i² + 18i²x + -9i²x² + -8x + 29x² + -10x³ + x⁴ = 48 + 8x + -29x² + 10x³ + -1x⁴ + -48 + -8x + 29x² + -10x³ + x⁴

Reorder the terms:
-48 + 27i² + 18i²x + -9i²x² + -8x + 29x² + -10x³ + x⁴ = 48 + -48 + 8x + -8x + -29x² + 29x² + 10x³ + -10x³ + -1x⁴ + x⁴

Combine like terms: 48 + -48 = 0
-48 + 27i² + 18i²x + -9i²x² + -8x + 29x² + -10x³ + x⁴ = 0 + 8x + -8x + -29x² + 29x² + 10x³ + -10x³ + -1x⁴ + x⁴
-48 + 27i² + 18i²x + -9i²x² + -8x + 29x² + -10x³ + x⁴ = 8x + -8x + -29x² + 29x² + 10x³ + -10x³ + -1x⁴ + x⁴

Combine like terms: 8x + -8x = 0
-48 + 27i² + 18i²x + -9i²x² + -8x + 29x² + -10x³ + x⁴ = 0 + -29x² + 29x² + 10x³ + -10x³ + -1x⁴ + x⁴
-48 + 27i² + 18i²x + -9i²x² + -8x + 29x² + -10x³ + x⁴ = -29x² + 29x² + 10x³ + -10x³ + -1x⁴ + x⁴

Combine like terms: -29x² + 29x² = 0
-48 + 27i² + 18i²x + -9i²x² + -8x + 29x² + -10x³ + x⁴ = 0 + 10x³ + -10x³ + -1x⁴ + x⁴
-48 + 27i² + 18i²x + -9i²x² + -8x + 29x² + -10x³ + x⁴ = 10x³ + -10x³ + -1x⁴ + x⁴

Combine like terms: 10x³ + -10x³ = 0
-48 + 27i² + 18i²x + -9i²x² + -8x + 29x² + -10x³ + x⁴ = 0 + -1x⁴ + x⁴
-48 + 27i² + 18i²x + -9i²x² + -8x + 29x² + -10x³ + x⁴ = -1x⁴ + x⁴

Combine like terms: -1x⁴ + x⁴ = 0
-48 + 27i² + 18i²x + -9i²x² + -8x + 29x² + -10x³ + x⁴ = 0

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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