(x+1)(x-5)(x-4-4i)(x-4+4i)=0

Simple and best practice solution for (x+1)(x-5)(x-4-4i)(x-4+4i)=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-5)(x-4-4i)(x-4+4i)=0 equation:

Simplifying
(x + 1)(x + -5)(x + -4 + -4i)(x + -4 + 4i) = 0

Reorder the terms:
(1 + x)(x + -5)(x + -4 + -4i)(x + -4 + 4i) = 0

Reorder the terms:
(1 + x)(-5 + x)(x + -4 + -4i)(x + -4 + 4i) = 0

Reorder the terms:
(1 + x)(-5 + x)(-4 + -4i + x)(x + -4 + 4i) = 0

Reorder the terms:
(1 + x)(-5 + x)(-4 + -4i + x)(-4 + 4i + x) = 0

Multiply (1 + x) * (-5 + x)
(1(-5 + x) + x(-5 + x))(-4 + -4i + x)(-4 + 4i + x) = 0
((-5 * 1 + x * 1) + x(-5 + x))(-4 + -4i + x)(-4 + 4i + x) = 0
((-5 + 1x) + x(-5 + x))(-4 + -4i + x)(-4 + 4i + x) = 0
(-5 + 1x + (-5 * x + x * x))(-4 + -4i + x)(-4 + 4i + x) = 0
(-5 + 1x + (-5x + x²))(-4 + -4i + x)(-4 + 4i + x) = 0

Combine like terms: 1x + -5x = -4x
(-5 + -4x + x²)(-4 + -4i + x)(-4 + 4i + x) = 0

Multiply (-5 + -4x + x²) * (-4 + -4i + x)
(-5(-4 + -4i + x) + -4x * (-4 + -4i + x) + x²(-4 + -4i + x))(-4 + 4i + x) = 0
((-4 * -5 + -4i * -5 + x * -5) + -4x * (-4 + -4i + x) + x²(-4 + -4i + x))(-4 + 4i + x) = 0
((20 + 20i + -5x) + -4x * (-4 + -4i + x) + x²(-4 + -4i + x))(-4 + 4i + x) = 0
(20 + 20i + -5x + (-4 * -4x + -4i * -4x + x * -4x) + x²(-4 + -4i + x))(-4 + 4i + x) = 0

Reorder the terms:
(20 + 20i + -5x + (16ix + 16x + -4x²) + x²(-4 + -4i + x))(-4 + 4i + x) = 0
(20 + 20i + -5x + (16ix + 16x + -4x²) + x²(-4 + -4i + x))(-4 + 4i + x) = 0
(20 + 20i + -5x + 16ix + 16x + -4x² + (-4 * x² + -4i * x² + x * x²))(-4 + 4i + x) = 0

Reorder the terms:
(20 + 20i + -5x + 16ix + 16x + -4x² + (-4ix² + -4x² + x³))(-4 + 4i + x) = 0
(20 + 20i + -5x + 16ix + 16x + -4x² + (-4ix² + -4x² + x³))(-4 + 4i + x) = 0

Reorder the terms:
(20 + 20i + 16ix + -4ix² + -5x + 16x + -4x² + -4x² + x³)(-4 + 4i + x) = 0

Combine like terms: -5x + 16x = 11x
(20 + 20i + 16ix + -4ix² + 11x + -4x² + -4x² + x³)(-4 + 4i + x) = 0

Combine like terms: -4x² + -4x² = -8x²
(20 + 20i + 16ix + -4ix² + 11x + -8x² + x³)(-4 + 4i + x) = 0

Multiply (20 + 20i + 16ix + -4ix² + 11x + -8x² + x³) * (-4 + 4i + x)
(20(-4 + 4i + x) + 20i * (-4 + 4i + x) + 16ix * (-4 + 4i + x) + -4ix² * (-4 + 4i + x) + 11x * (-4 + 4i + x) + -8x² * (-4 + 4i + x) + x³(-4 + 4i + x)) = 0
((-4 * 20 + 4i * 20 + x * 20) + 20i * (-4 + 4i + x) + 16ix * (-4 + 4i + x) + -4ix² * (-4 + 4i + x) + 11x * (-4 + 4i + x) + -8x² * (-4 + 4i + x) + x³(-4 + 4i + x)) = 0
((-80 + 80i + 20x) + 20i * (-4 + 4i + x) + 16ix * (-4 + 4i + x) + -4ix² * (-4 + 4i + x) + 11x * (-4 + 4i + x) + -8x² * (-4 + 4i + x) + x³(-4 + 4i + x)) = 0
(-80 + 80i + 20x + (-4 * 20i + 4i * 20i + x * 20i) + 16ix * (-4 + 4i + x) + -4ix² * (-4 + 4i + x) + 11x * (-4 + 4i + x) + -8x² * (-4 + 4i + x) + x³(-4 + 4i + x)) = 0

Reorder the terms:
(-80 + 80i + 20x + (-80i + 20ix + 80i²) + 16ix * (-4 + 4i + x) + -4ix² * (-4 + 4i + x) + 11x * (-4 + 4i + x) + -8x² * (-4 + 4i + x) + x³(-4 + 4i + x)) = 0
(-80 + 80i + 20x + (-80i + 20ix + 80i²) + 16ix * (-4 + 4i + x) + -4ix² * (-4 + 4i + x) + 11x * (-4 + 4i + x) + -8x² * (-4 + 4i + x) + x³(-4 + 4i + x)) = 0
(-80 + 80i + 20x + -80i + 20ix + 80i² + (-4 * 16ix + 4i * 16ix + x * 16ix) + -4ix² * (-4 + 4i + x) + 11x * (-4 + 4i + x) + -8x² * (-4 + 4i + x) + x³(-4 + 4i + x)) = 0

Reorder the terms:
(-80 + 80i + 20x + -80i + 20ix + 80i² + (-64ix + 16ix² + 64i²x) + -4ix² * (-4 + 4i + x) + 11x * (-4 + 4i + x) + -8x² * (-4 + 4i + x) + x³(-4 + 4i + x)) = 0
(-80 + 80i + 20x + -80i + 20ix + 80i² + (-64ix + 16ix² + 64i²x) + -4ix² * (-4 + 4i + x) + 11x * (-4 + 4i + x) + -8x² * (-4 + 4i + x) + x³(-4 + 4i + x)) = 0
(-80 + 80i + 20x + -80i + 20ix + 80i² + -64ix + 16ix² + 64i²x + (-4 * -4ix² + 4i * -4ix² + x * -4ix²) + 11x * (-4 + 4i + x) + -8x² * (-4 + 4i + x) + x³(-4 + 4i + x)) = 0

Reorder the terms:
(-80 + 80i + 20x + -80i + 20ix + 80i² + -64ix + 16ix² + 64i²x + (16ix² + -4ix³ + -16i²x²) + 11x * (-4 + 4i + x) + -8x² * (-4 + 4i + x) + x³(-4 + 4i + x)) = 0
(-80 + 80i + 20x + -80i + 20ix + 80i² + -64ix + 16ix² + 64i²x + (16ix² + -4ix³ + -16i²x²) + 11x * (-4 + 4i + x) + -8x² * (-4 + 4i + x) + x³(-4 + 4i + x)) = 0
(-80 + 80i + 20x + -80i + 20ix + 80i² + -64ix + 16ix² + 64i²x + 16ix² + -4ix³ + -16i²x² + (-4 * 11x + 4i * 11x + x * 11x) + -8x² * (-4 + 4i + x) + x³(-4 + 4i + x)) = 0

Reorder the terms:
(-80 + 80i + 20x + -80i + 20ix + 80i² + -64ix + 16ix² + 64i²x + 16ix² + -4ix³ + -16i²x² + (44ix + -44x + 11x²) + -8x² * (-4 + 4i + x) + x³(-4 + 4i + x)) = 0
(-80 + 80i + 20x + -80i + 20ix + 80i² + -64ix + 16ix² + 64i²x + 16ix² + -4ix³ + -16i²x² + (44ix + -44x + 11x²) + -8x² * (-4 + 4i + x) + x³(-4 + 4i + x)) = 0
(-80 + 80i + 20x + -80i + 20ix + 80i² + -64ix + 16ix² + 64i²x + 16ix² + -4ix³ + -16i²x² + 44ix + -44x + 11x² + (-4 * -8x² + 4i * -8x² + x * -8x²) + x³(-4 + 4i + x)) = 0

Reorder the terms:
(-80 + 80i + 20x + -80i + 20ix + 80i² + -64ix + 16ix² + 64i²x + 16ix² + -4ix³ + -16i²x² + 44ix + -44x + 11x² + (-32ix² + 32x² + -8x³) + x³(-4 + 4i + x)) = 0
(-80 + 80i + 20x + -80i + 20ix + 80i² + -64ix + 16ix² + 64i²x + 16ix² + -4ix³ + -16i²x² + 44ix + -44x + 11x² + (-32ix² + 32x² + -8x³) + x³(-4 + 4i + x)) = 0
(-80 + 80i + 20x + -80i + 20ix + 80i² + -64ix + 16ix² + 64i²x + 16ix² + -4ix³ + -16i²x² + 44ix + -44x + 11x² + -32ix² + 32x² + -8x³ + (-4 * x³ + 4i * x³ + x * x³)) = 0

Reorder the terms:
(-80 + 80i + 20x + -80i + 20ix + 80i² + -64ix + 16ix² + 64i²x + 16ix² + -4ix³ + -16i²x² + 44ix + -44x + 11x² + -32ix² + 32x² + -8x³ + (4ix³ + -4x³ + x⁴)) = 0
(-80 + 80i + 20x + -80i + 20ix + 80i² + -64ix + 16ix² + 64i²x + 16ix² + -4ix³ + -16i²x² + 44ix + -44x + 11x² + -32ix² + 32x² + -8x³ + (4ix³ + -4x³ + x⁴)) = 0

Reorder the terms:
(-80 + 80i + -80i + 20ix + -64ix + 44ix + 16ix² + 16ix² + -32ix² + -4ix³ + 4ix³ + 80i² + 64i²x + -16i²x² + 20x + -44x + 11x² + 32x² + -8x³ + -4x³ + x⁴) = 0

Combine like terms: 80i + -80i = 0
(-80 + 0 + 20ix + -64ix + 44ix + 16ix² + 16ix² + -32ix² + -4ix³ + 4ix³ + 80i² + 64i²x + -16i²x² + 20x + -44x + 11x² + 32x² + -8x³ + -4x³ + x⁴) = 0
(-80 + 20ix + -64ix + 44ix + 16ix² + 16ix² + -32ix² + -4ix³ + 4ix³ + 80i² + 64i²x + -16i²x² + 20x + -44x + 11x² + 32x² + -8x³ + -4x³ + x⁴) = 0

Combine like terms: 20ix + -64ix = -44ix
(-80 + -44ix + 44ix + 16ix² + 16ix² + -32ix² + -4ix³ + 4ix³ + 80i² + 64i²x + -16i²x² + 20x + -44x + 11x² + 32x² + -8x³ + -4x³ + x⁴) = 0

Combine like terms: -44ix + 44ix = 0
(-80 + 0 + 16ix² + 16ix² + -32ix² + -4ix³ + 4ix³ + 80i² + 64i²x + -16i²x² + 20x + -44x + 11x² + 32x² + -8x³ + -4x³ + x⁴) = 0
(-80 + 16ix² + 16ix² + -32ix² + -4ix³ + 4ix³ + 80i² + 64i²x + -16i²x² + 20x + -44x + 11x² + 32x² + -8x³ + -4x³ + x⁴) = 0

Combine like terms: 16ix² + 16ix² = 32ix²
(-80 + 32ix² + -32ix² + -4ix³ + 4ix³ + 80i² + 64i²x + -16i²x² + 20x + -44x + 11x² + 32x² + -8x³ + -4x³ + x⁴) = 0

Combine like terms: 32ix² + -32ix² = 0
(-80 + 0 + -4ix³ + 4ix³ + 80i² + 64i²x + -16i²x² + 20x + -44x + 11x² + 32x² + -8x³ + -4x³ + x⁴) = 0
(-80 + -4ix³ + 4ix³ + 80i² + 64i²x + -16i²x² + 20x + -44x + 11x² + 32x² + -8x³ + -4x³ + x⁴) = 0

Combine like terms: -4ix³ + 4ix³ = 0
(-80 + 0 + 80i² + 64i²x + -16i²x² + 20x + -44x + 11x² + 32x² + -8x³ + -4x³ + x⁴) = 0
(-80 + 80i² + 64i²x + -16i²x² + 20x + -44x + 11x² + 32x² + -8x³ + -4x³ + x⁴) = 0

Combine like terms: 20x + -44x = -24x
(-80 + 80i² + 64i²x + -16i²x² + -24x + 11x² + 32x² + -8x³ + -4x³ + x⁴) = 0

Combine like terms: 11x² + 32x² = 43x²
(-80 + 80i² + 64i²x + -16i²x² + -24x + 43x² + -8x³ + -4x³ + x⁴) = 0

Combine like terms: -8x³ + -4x³ = -12x³
(-80 + 80i² + 64i²x + -16i²x² + -24x + 43x² + -12x³ + x⁴) = 0

Solving
-80 + 80i² + 64i²x + -16i²x² + -24x + 43x² + -12x³ + x⁴ = 0

Solving for variable 'i'.

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

Add '80' to each side of the equation.
-80 + 80i² + 64i²x + -16i²x² + -24x + 43x² + -12x³ + 80 + x⁴ = 0 + 80

Reorder the terms:
-80 + 80 + 80i² + 64i²x + -16i²x² + -24x + 43x² + -12x³ + x⁴ = 0 + 80

Combine like terms: -80 + 80 = 0
0 + 80i² + 64i²x + -16i²x² + -24x + 43x² + -12x³ + x⁴ = 0 + 80
80i² + 64i²x + -16i²x² + -24x + 43x² + -12x³ + x⁴ = 0 + 80

Combine like terms: 0 + 80 = 80
80i² + 64i²x + -16i²x² + -24x + 43x² + -12x³ + x⁴ = 80

Add '24x' to each side of the equation.
80i² + 64i²x + -16i²x² + -24x + 43x² + -12x³ + 24x + x⁴ = 80 + 24x

Reorder the terms:
80i² + 64i²x + -16i²x² + -24x + 24x + 43x² + -12x³ + x⁴ = 80 + 24x

Combine like terms: -24x + 24x = 0
80i² + 64i²x + -16i²x² + 0 + 43x² + -12x³ + x⁴ = 80 + 24x
80i² + 64i²x + -16i²x² + 43x² + -12x³ + x⁴ = 80 + 24x

Add '-43x²' to each side of the equation.
80i² + 64i²x + -16i²x² + 43x² + -12x³ + -43x² + x⁴ = 80 + 24x + -43x²

Reorder the terms:
80i² + 64i²x + -16i²x² + 43x² + -43x² + -12x³ + x⁴ = 80 + 24x + -43x²

Combine like terms: 43x² + -43x² = 0
80i² + 64i²x + -16i²x² + 0 + -12x³ + x⁴ = 80 + 24x + -43x²
80i² + 64i²x + -16i²x² + -12x³ + x⁴ = 80 + 24x + -43x²

Add '12x³' to each side of the equation.
80i² + 64i²x + -16i²x² + -12x³ + 12x³ + x⁴ = 80 + 24x + -43x² + 12x³

Combine like terms: -12x³ + 12x³ = 0
80i² + 64i²x + -16i²x² + 0 + x⁴ = 80 + 24x + -43x² + 12x³
80i² + 64i²x + -16i²x² + x⁴ = 80 + 24x + -43x² + 12x³

Add '-1x⁴' to each side of the equation.
80i² + 64i²x + -16i²x² + x⁴ + -1x⁴ = 80 + 24x + -43x² + 12x³ + -1x⁴

Combine like terms: x⁴ + -1x⁴ = 0
80i² + 64i²x + -16i²x² + 0 = 80 + 24x + -43x² + 12x³ + -1x⁴
80i² + 64i²x + -16i²x² = 80 + 24x + -43x² + 12x³ + -1x⁴

Reorder the terms:
-80 + 80i² + 64i²x + -16i²x² + -24x + 43x² + -12x³ + x⁴ = 80 + 24x + -43x² + 12x³ + -1x⁴ + -80 + -24x + 43x² + -12x³ + x⁴

Reorder the terms:
-80 + 80i² + 64i²x + -16i²x² + -24x + 43x² + -12x³ + x⁴ = 80 + -80 + 24x + -24x + -43x² + 43x² + 12x³ + -12x³ + -1x⁴ + x⁴

Combine like terms: 80 + -80 = 0
-80 + 80i² + 64i²x + -16i²x² + -24x + 43x² + -12x³ + x⁴ = 0 + 24x + -24x + -43x² + 43x² + 12x³ + -12x³ + -1x⁴ + x⁴
-80 + 80i² + 64i²x + -16i²x² + -24x + 43x² + -12x³ + x⁴ = 24x + -24x + -43x² + 43x² + 12x³ + -12x³ + -1x⁴ + x⁴

Combine like terms: 24x + -24x = 0
-80 + 80i² + 64i²x + -16i²x² + -24x + 43x² + -12x³ + x⁴ = 0 + -43x² + 43x² + 12x³ + -12x³ + -1x⁴ + x⁴
-80 + 80i² + 64i²x + -16i²x² + -24x + 43x² + -12x³ + x⁴ = -43x² + 43x² + 12x³ + -12x³ + -1x⁴ + x⁴

Combine like terms: -43x² + 43x² = 0
-80 + 80i² + 64i²x + -16i²x² + -24x + 43x² + -12x³ + x⁴ = 0 + 12x³ + -12x³ + -1x⁴ + x⁴
-80 + 80i² + 64i²x + -16i²x² + -24x + 43x² + -12x³ + x⁴ = 12x³ + -12x³ + -1x⁴ + x⁴

Combine like terms: 12x³ + -12x³ = 0
-80 + 80i² + 64i²x + -16i²x² + -24x + 43x² + -12x³ + x⁴ = 0 + -1x⁴ + x⁴
-80 + 80i² + 64i²x + -16i²x² + -24x + 43x² + -12x³ + x⁴ = -1x⁴ + x⁴

Combine like terms: -1x⁴ + x⁴ = 0
-80 + 80i² + 64i²x + -16i²x² + -24x + 43x² + -12x³ + x⁴ = 0

The solution to this equation could not be determined.

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(x+1)(x-5)(x-4-4i)(x-4+4i)=0

Simple and best practice solution for (x+1)(x-5)(x-4-4i)(x-4+4i)=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-5)(x-4-4i)(x-4+4i)=0 equation:

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