(x+1)(x-4)(x-4+2i)(x-4-2i)=0

Simple and best practice solution for (x+1)(x-4)(x-4+2i)(x-4-2i)=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-4)(x-4+2i)(x-4-2i)=0 equation:

Simplifying
(x + 1)(x + -4)(x + -4 + 2i)(x + -4 + -2i) = 0

Reorder the terms:
(1 + x)(x + -4)(x + -4 + 2i)(x + -4 + -2i) = 0

Reorder the terms:
(1 + x)(-4 + x)(x + -4 + 2i)(x + -4 + -2i) = 0

Reorder the terms:
(1 + x)(-4 + x)(-4 + 2i + x)(x + -4 + -2i) = 0

Reorder the terms:
(1 + x)(-4 + x)(-4 + 2i + x)(-4 + -2i + x) = 0

Multiply (1 + x) * (-4 + x)
(1(-4 + x) + x(-4 + x))(-4 + 2i + x)(-4 + -2i + x) = 0
((-4 * 1 + x * 1) + x(-4 + x))(-4 + 2i + x)(-4 + -2i + x) = 0
((-4 + 1x) + x(-4 + x))(-4 + 2i + x)(-4 + -2i + x) = 0
(-4 + 1x + (-4 * x + x * x))(-4 + 2i + x)(-4 + -2i + x) = 0
(-4 + 1x + (-4x + x²))(-4 + 2i + x)(-4 + -2i + x) = 0

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

Multiply (-4 + -3x + x²) * (-4 + 2i + x)
(-4(-4 + 2i + x) + -3x * (-4 + 2i + x) + x²(-4 + 2i + x))(-4 + -2i + x) = 0
((-4 * -4 + 2i * -4 + x * -4) + -3x * (-4 + 2i + x) + x²(-4 + 2i + x))(-4 + -2i + x) = 0
((16 + -8i + -4x) + -3x * (-4 + 2i + x) + x²(-4 + 2i + x))(-4 + -2i + x) = 0
(16 + -8i + -4x + (-4 * -3x + 2i * -3x + x * -3x) + x²(-4 + 2i + x))(-4 + -2i + x) = 0

Reorder the terms:
(16 + -8i + -4x + (-6ix + 12x + -3x²) + x²(-4 + 2i + x))(-4 + -2i + x) = 0
(16 + -8i + -4x + (-6ix + 12x + -3x²) + x²(-4 + 2i + x))(-4 + -2i + x) = 0
(16 + -8i + -4x + -6ix + 12x + -3x² + (-4 * x² + 2i * x² + x * x²))(-4 + -2i + x) = 0

Reorder the terms:
(16 + -8i + -4x + -6ix + 12x + -3x² + (2ix² + -4x² + x³))(-4 + -2i + x) = 0
(16 + -8i + -4x + -6ix + 12x + -3x² + (2ix² + -4x² + x³))(-4 + -2i + x) = 0

Reorder the terms:
(16 + -8i + -6ix + 2ix² + -4x + 12x + -3x² + -4x² + x³)(-4 + -2i + x) = 0

Combine like terms: -4x + 12x = 8x
(16 + -8i + -6ix + 2ix² + 8x + -3x² + -4x² + x³)(-4 + -2i + x) = 0

Combine like terms: -3x² + -4x² = -7x²
(16 + -8i + -6ix + 2ix² + 8x + -7x² + x³)(-4 + -2i + x) = 0

Multiply (16 + -8i + -6ix + 2ix² + 8x + -7x² + x³) * (-4 + -2i + x)
(16(-4 + -2i + x) + -8i * (-4 + -2i + x) + -6ix * (-4 + -2i + x) + 2ix² * (-4 + -2i + x) + 8x * (-4 + -2i + x) + -7x² * (-4 + -2i + x) + x³(-4 + -2i + x)) = 0
((-4 * 16 + -2i * 16 + x * 16) + -8i * (-4 + -2i + x) + -6ix * (-4 + -2i + x) + 2ix² * (-4 + -2i + x) + 8x * (-4 + -2i + x) + -7x² * (-4 + -2i + x) + x³(-4 + -2i + x)) = 0
((-64 + -32i + 16x) + -8i * (-4 + -2i + x) + -6ix * (-4 + -2i + x) + 2ix² * (-4 + -2i + x) + 8x * (-4 + -2i + x) + -7x² * (-4 + -2i + x) + x³(-4 + -2i + x)) = 0
(-64 + -32i + 16x + (-4 * -8i + -2i * -8i + x * -8i) + -6ix * (-4 + -2i + x) + 2ix² * (-4 + -2i + x) + 8x * (-4 + -2i + x) + -7x² * (-4 + -2i + x) + x³(-4 + -2i + x)) = 0

Reorder the terms:
(-64 + -32i + 16x + (32i + -8ix + 16i²) + -6ix * (-4 + -2i + x) + 2ix² * (-4 + -2i + x) + 8x * (-4 + -2i + x) + -7x² * (-4 + -2i + x) + x³(-4 + -2i + x)) = 0
(-64 + -32i + 16x + (32i + -8ix + 16i²) + -6ix * (-4 + -2i + x) + 2ix² * (-4 + -2i + x) + 8x * (-4 + -2i + x) + -7x² * (-4 + -2i + x) + x³(-4 + -2i + x)) = 0
(-64 + -32i + 16x + 32i + -8ix + 16i² + (-4 * -6ix + -2i * -6ix + x * -6ix) + 2ix² * (-4 + -2i + x) + 8x * (-4 + -2i + x) + -7x² * (-4 + -2i + x) + x³(-4 + -2i + x)) = 0

Reorder the terms:
(-64 + -32i + 16x + 32i + -8ix + 16i² + (24ix + -6ix² + 12i²x) + 2ix² * (-4 + -2i + x) + 8x * (-4 + -2i + x) + -7x² * (-4 + -2i + x) + x³(-4 + -2i + x)) = 0
(-64 + -32i + 16x + 32i + -8ix + 16i² + (24ix + -6ix² + 12i²x) + 2ix² * (-4 + -2i + x) + 8x * (-4 + -2i + x) + -7x² * (-4 + -2i + x) + x³(-4 + -2i + x)) = 0
(-64 + -32i + 16x + 32i + -8ix + 16i² + 24ix + -6ix² + 12i²x + (-4 * 2ix² + -2i * 2ix² + x * 2ix²) + 8x * (-4 + -2i + x) + -7x² * (-4 + -2i + x) + x³(-4 + -2i + x)) = 0

Reorder the terms:
(-64 + -32i + 16x + 32i + -8ix + 16i² + 24ix + -6ix² + 12i²x + (-8ix² + 2ix³ + -4i²x²) + 8x * (-4 + -2i + x) + -7x² * (-4 + -2i + x) + x³(-4 + -2i + x)) = 0
(-64 + -32i + 16x + 32i + -8ix + 16i² + 24ix + -6ix² + 12i²x + (-8ix² + 2ix³ + -4i²x²) + 8x * (-4 + -2i + x) + -7x² * (-4 + -2i + x) + x³(-4 + -2i + x)) = 0
(-64 + -32i + 16x + 32i + -8ix + 16i² + 24ix + -6ix² + 12i²x + -8ix² + 2ix³ + -4i²x² + (-4 * 8x + -2i * 8x + x * 8x) + -7x² * (-4 + -2i + x) + x³(-4 + -2i + x)) = 0

Reorder the terms:
(-64 + -32i + 16x + 32i + -8ix + 16i² + 24ix + -6ix² + 12i²x + -8ix² + 2ix³ + -4i²x² + (-16ix + -32x + 8x²) + -7x² * (-4 + -2i + x) + x³(-4 + -2i + x)) = 0
(-64 + -32i + 16x + 32i + -8ix + 16i² + 24ix + -6ix² + 12i²x + -8ix² + 2ix³ + -4i²x² + (-16ix + -32x + 8x²) + -7x² * (-4 + -2i + x) + x³(-4 + -2i + x)) = 0
(-64 + -32i + 16x + 32i + -8ix + 16i² + 24ix + -6ix² + 12i²x + -8ix² + 2ix³ + -4i²x² + -16ix + -32x + 8x² + (-4 * -7x² + -2i * -7x² + x * -7x²) + x³(-4 + -2i + x)) = 0

Reorder the terms:
(-64 + -32i + 16x + 32i + -8ix + 16i² + 24ix + -6ix² + 12i²x + -8ix² + 2ix³ + -4i²x² + -16ix + -32x + 8x² + (14ix² + 28x² + -7x³) + x³(-4 + -2i + x)) = 0
(-64 + -32i + 16x + 32i + -8ix + 16i² + 24ix + -6ix² + 12i²x + -8ix² + 2ix³ + -4i²x² + -16ix + -32x + 8x² + (14ix² + 28x² + -7x³) + x³(-4 + -2i + x)) = 0
(-64 + -32i + 16x + 32i + -8ix + 16i² + 24ix + -6ix² + 12i²x + -8ix² + 2ix³ + -4i²x² + -16ix + -32x + 8x² + 14ix² + 28x² + -7x³ + (-4 * x³ + -2i * x³ + x * x³)) = 0

Reorder the terms:
(-64 + -32i + 16x + 32i + -8ix + 16i² + 24ix + -6ix² + 12i²x + -8ix² + 2ix³ + -4i²x² + -16ix + -32x + 8x² + 14ix² + 28x² + -7x³ + (-2ix³ + -4x³ + x⁴)) = 0
(-64 + -32i + 16x + 32i + -8ix + 16i² + 24ix + -6ix² + 12i²x + -8ix² + 2ix³ + -4i²x² + -16ix + -32x + 8x² + 14ix² + 28x² + -7x³ + (-2ix³ + -4x³ + x⁴)) = 0

Reorder the terms:
(-64 + -32i + 32i + -8ix + 24ix + -16ix + -6ix² + -8ix² + 14ix² + 2ix³ + -2ix³ + 16i² + 12i²x + -4i²x² + 16x + -32x + 8x² + 28x² + -7x³ + -4x³ + x⁴) = 0

Combine like terms: -32i + 32i = 0
(-64 + 0 + -8ix + 24ix + -16ix + -6ix² + -8ix² + 14ix² + 2ix³ + -2ix³ + 16i² + 12i²x + -4i²x² + 16x + -32x + 8x² + 28x² + -7x³ + -4x³ + x⁴) = 0
(-64 + -8ix + 24ix + -16ix + -6ix² + -8ix² + 14ix² + 2ix³ + -2ix³ + 16i² + 12i²x + -4i²x² + 16x + -32x + 8x² + 28x² + -7x³ + -4x³ + x⁴) = 0

Combine like terms: -8ix + 24ix = 16ix
(-64 + 16ix + -16ix + -6ix² + -8ix² + 14ix² + 2ix³ + -2ix³ + 16i² + 12i²x + -4i²x² + 16x + -32x + 8x² + 28x² + -7x³ + -4x³ + x⁴) = 0

Combine like terms: 16ix + -16ix = 0
(-64 + 0 + -6ix² + -8ix² + 14ix² + 2ix³ + -2ix³ + 16i² + 12i²x + -4i²x² + 16x + -32x + 8x² + 28x² + -7x³ + -4x³ + x⁴) = 0
(-64 + -6ix² + -8ix² + 14ix² + 2ix³ + -2ix³ + 16i² + 12i²x + -4i²x² + 16x + -32x + 8x² + 28x² + -7x³ + -4x³ + x⁴) = 0

Combine like terms: -6ix² + -8ix² = -14ix²
(-64 + -14ix² + 14ix² + 2ix³ + -2ix³ + 16i² + 12i²x + -4i²x² + 16x + -32x + 8x² + 28x² + -7x³ + -4x³ + x⁴) = 0

Combine like terms: -14ix² + 14ix² = 0
(-64 + 0 + 2ix³ + -2ix³ + 16i² + 12i²x + -4i²x² + 16x + -32x + 8x² + 28x² + -7x³ + -4x³ + x⁴) = 0
(-64 + 2ix³ + -2ix³ + 16i² + 12i²x + -4i²x² + 16x + -32x + 8x² + 28x² + -7x³ + -4x³ + x⁴) = 0

Combine like terms: 2ix³ + -2ix³ = 0
(-64 + 0 + 16i² + 12i²x + -4i²x² + 16x + -32x + 8x² + 28x² + -7x³ + -4x³ + x⁴) = 0
(-64 + 16i² + 12i²x + -4i²x² + 16x + -32x + 8x² + 28x² + -7x³ + -4x³ + x⁴) = 0

Combine like terms: 16x + -32x = -16x
(-64 + 16i² + 12i²x + -4i²x² + -16x + 8x² + 28x² + -7x³ + -4x³ + x⁴) = 0

Combine like terms: 8x² + 28x² = 36x²
(-64 + 16i² + 12i²x + -4i²x² + -16x + 36x² + -7x³ + -4x³ + x⁴) = 0

Combine like terms: -7x³ + -4x³ = -11x³
(-64 + 16i² + 12i²x + -4i²x² + -16x + 36x² + -11x³ + x⁴) = 0

Solving
-64 + 16i² + 12i²x + -4i²x² + -16x + 36x² + -11x³ + x⁴ = 0

Solving for variable 'i'.

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

Add '64' to each side of the equation.
-64 + 16i² + 12i²x + -4i²x² + -16x + 36x² + -11x³ + 64 + x⁴ = 0 + 64

Reorder the terms:
-64 + 64 + 16i² + 12i²x + -4i²x² + -16x + 36x² + -11x³ + x⁴ = 0 + 64

Combine like terms: -64 + 64 = 0
0 + 16i² + 12i²x + -4i²x² + -16x + 36x² + -11x³ + x⁴ = 0 + 64
16i² + 12i²x + -4i²x² + -16x + 36x² + -11x³ + x⁴ = 0 + 64

Combine like terms: 0 + 64 = 64
16i² + 12i²x + -4i²x² + -16x + 36x² + -11x³ + x⁴ = 64

Add '16x' to each side of the equation.
16i² + 12i²x + -4i²x² + -16x + 36x² + -11x³ + 16x + x⁴ = 64 + 16x

Reorder the terms:
16i² + 12i²x + -4i²x² + -16x + 16x + 36x² + -11x³ + x⁴ = 64 + 16x

Combine like terms: -16x + 16x = 0
16i² + 12i²x + -4i²x² + 0 + 36x² + -11x³ + x⁴ = 64 + 16x
16i² + 12i²x + -4i²x² + 36x² + -11x³ + x⁴ = 64 + 16x

Add '-36x²' to each side of the equation.
16i² + 12i²x + -4i²x² + 36x² + -11x³ + -36x² + x⁴ = 64 + 16x + -36x²

Reorder the terms:
16i² + 12i²x + -4i²x² + 36x² + -36x² + -11x³ + x⁴ = 64 + 16x + -36x²

Combine like terms: 36x² + -36x² = 0
16i² + 12i²x + -4i²x² + 0 + -11x³ + x⁴ = 64 + 16x + -36x²
16i² + 12i²x + -4i²x² + -11x³ + x⁴ = 64 + 16x + -36x²

Add '11x³' to each side of the equation.
16i² + 12i²x + -4i²x² + -11x³ + 11x³ + x⁴ = 64 + 16x + -36x² + 11x³

Combine like terms: -11x³ + 11x³ = 0
16i² + 12i²x + -4i²x² + 0 + x⁴ = 64 + 16x + -36x² + 11x³
16i² + 12i²x + -4i²x² + x⁴ = 64 + 16x + -36x² + 11x³

Add '-1x⁴' to each side of the equation.
16i² + 12i²x + -4i²x² + x⁴ + -1x⁴ = 64 + 16x + -36x² + 11x³ + -1x⁴

Combine like terms: x⁴ + -1x⁴ = 0
16i² + 12i²x + -4i²x² + 0 = 64 + 16x + -36x² + 11x³ + -1x⁴
16i² + 12i²x + -4i²x² = 64 + 16x + -36x² + 11x³ + -1x⁴

Reorder the terms:
-64 + 16i² + 12i²x + -4i²x² + -16x + 36x² + -11x³ + x⁴ = 64 + 16x + -36x² + 11x³ + -1x⁴ + -64 + -16x + 36x² + -11x³ + x⁴

Reorder the terms:
-64 + 16i² + 12i²x + -4i²x² + -16x + 36x² + -11x³ + x⁴ = 64 + -64 + 16x + -16x + -36x² + 36x² + 11x³ + -11x³ + -1x⁴ + x⁴

Combine like terms: 64 + -64 = 0
-64 + 16i² + 12i²x + -4i²x² + -16x + 36x² + -11x³ + x⁴ = 0 + 16x + -16x + -36x² + 36x² + 11x³ + -11x³ + -1x⁴ + x⁴
-64 + 16i² + 12i²x + -4i²x² + -16x + 36x² + -11x³ + x⁴ = 16x + -16x + -36x² + 36x² + 11x³ + -11x³ + -1x⁴ + x⁴

Combine like terms: 16x + -16x = 0
-64 + 16i² + 12i²x + -4i²x² + -16x + 36x² + -11x³ + x⁴ = 0 + -36x² + 36x² + 11x³ + -11x³ + -1x⁴ + x⁴
-64 + 16i² + 12i²x + -4i²x² + -16x + 36x² + -11x³ + x⁴ = -36x² + 36x² + 11x³ + -11x³ + -1x⁴ + x⁴

Combine like terms: -36x² + 36x² = 0
-64 + 16i² + 12i²x + -4i²x² + -16x + 36x² + -11x³ + x⁴ = 0 + 11x³ + -11x³ + -1x⁴ + x⁴
-64 + 16i² + 12i²x + -4i²x² + -16x + 36x² + -11x³ + x⁴ = 11x³ + -11x³ + -1x⁴ + x⁴

Combine like terms: 11x³ + -11x³ = 0
-64 + 16i² + 12i²x + -4i²x² + -16x + 36x² + -11x³ + x⁴ = 0 + -1x⁴ + x⁴
-64 + 16i² + 12i²x + -4i²x² + -16x + 36x² + -11x³ + x⁴ = -1x⁴ + x⁴

Combine like terms: -1x⁴ + x⁴ = 0
-64 + 16i² + 12i²x + -4i²x² + -16x + 36x² + -11x³ + x⁴ = 0

The solution to this equation could not be determined.

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(x+1)(x-4)(x-4+2i)(x-4-2i)=0

Simple and best practice solution for (x+1)(x-4)(x-4+2i)(x-4-2i)=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-4)(x-4+2i)(x-4-2i)=0 equation:

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