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

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

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

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

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

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

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

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

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

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

Reorder the terms:
(-4 + 2i + 1x + (4ix + -8x + 2x²) + x²(-4 + 2i + x))(-4 + -2i + x) = 0
(-4 + 2i + 1x + (4ix + -8x + 2x²) + x²(-4 + 2i + x))(-4 + -2i + x) = 0
(-4 + 2i + 1x + 4ix + -8x + 2x² + (-4 * x² + 2i * x² + x * x²))(-4 + -2i + x) = 0

Reorder the terms:
(-4 + 2i + 1x + 4ix + -8x + 2x² + (2ix² + -4x² + x³))(-4 + -2i + x) = 0
(-4 + 2i + 1x + 4ix + -8x + 2x² + (2ix² + -4x² + x³))(-4 + -2i + x) = 0

Reorder the terms:
(-4 + 2i + 4ix + 2ix² + 1x + -8x + 2x² + -4x² + x³)(-4 + -2i + x) = 0

Combine like terms: 1x + -8x = -7x
(-4 + 2i + 4ix + 2ix² + -7x + 2x² + -4x² + x³)(-4 + -2i + x) = 0

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

Combine like terms: -4x + 28x = 24x
(16 + -4i² + -8i²x + -4i²x² + 24x + -7x² + 8x² + -2x³ + -4x³ + x⁴) = 0

Combine like terms: -7x² + 8x² = 1x²
(16 + -4i² + -8i²x + -4i²x² + 24x + 1x² + -2x³ + -4x³ + x⁴) = 0

Combine like terms: -2x³ + -4x³ = -6x³
(16 + -4i² + -8i²x + -4i²x² + 24x + 1x² + -6x³ + x⁴) = 0

Solving
16 + -4i² + -8i²x + -4i²x² + 24x + 1x² + -6x³ + x⁴ = 0

Solving for variable 'i'.

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

Add '-16' to each side of the equation.
16 + -4i² + -8i²x + -4i²x² + 24x + 1x² + -6x³ + -16 + x⁴ = 0 + -16

Reorder the terms:
16 + -16 + -4i² + -8i²x + -4i²x² + 24x + 1x² + -6x³ + x⁴ = 0 + -16

Combine like terms: 16 + -16 = 0
0 + -4i² + -8i²x + -4i²x² + 24x + 1x² + -6x³ + x⁴ = 0 + -16
-4i² + -8i²x + -4i²x² + 24x + 1x² + -6x³ + x⁴ = 0 + -16

Combine like terms: 0 + -16 = -16
-4i² + -8i²x + -4i²x² + 24x + 1x² + -6x³ + x⁴ = -16

Add '-24x' to each side of the equation.
-4i² + -8i²x + -4i²x² + 24x + 1x² + -6x³ + -24x + x⁴ = -16 + -24x

Reorder the terms:
-4i² + -8i²x + -4i²x² + 24x + -24x + 1x² + -6x³ + x⁴ = -16 + -24x

Combine like terms: 24x + -24x = 0
-4i² + -8i²x + -4i²x² + 0 + 1x² + -6x³ + x⁴ = -16 + -24x
-4i² + -8i²x + -4i²x² + 1x² + -6x³ + x⁴ = -16 + -24x

Add '-1x²' to each side of the equation.
-4i² + -8i²x + -4i²x² + 1x² + -6x³ + -1x² + x⁴ = -16 + -24x + -1x²

Reorder the terms:
-4i² + -8i²x + -4i²x² + 1x² + -1x² + -6x³ + x⁴ = -16 + -24x + -1x²

Combine like terms: 1x² + -1x² = 0
-4i² + -8i²x + -4i²x² + 0 + -6x³ + x⁴ = -16 + -24x + -1x²
-4i² + -8i²x + -4i²x² + -6x³ + x⁴ = -16 + -24x + -1x²

Add '6x³' to each side of the equation.
-4i² + -8i²x + -4i²x² + -6x³ + 6x³ + x⁴ = -16 + -24x + -1x² + 6x³

Combine like terms: -6x³ + 6x³ = 0
-4i² + -8i²x + -4i²x² + 0 + x⁴ = -16 + -24x + -1x² + 6x³
-4i² + -8i²x + -4i²x² + x⁴ = -16 + -24x + -1x² + 6x³

Add '-1x⁴' to each side of the equation.
-4i² + -8i²x + -4i²x² + x⁴ + -1x⁴ = -16 + -24x + -1x² + 6x³ + -1x⁴

Combine like terms: x⁴ + -1x⁴ = 0
-4i² + -8i²x + -4i²x² + 0 = -16 + -24x + -1x² + 6x³ + -1x⁴
-4i² + -8i²x + -4i²x² = -16 + -24x + -1x² + 6x³ + -1x⁴

Reorder the terms:
16 + -4i² + -8i²x + -4i²x² + 24x + x² + -6x³ + x⁴ = -16 + -24x + -1x² + 6x³ + -1x⁴ + 16 + 24x + x² + -6x³ + x⁴

Reorder the terms:
16 + -4i² + -8i²x + -4i²x² + 24x + x² + -6x³ + x⁴ = -16 + 16 + -24x + 24x + -1x² + x² + 6x³ + -6x³ + -1x⁴ + x⁴

Combine like terms: -16 + 16 = 0
16 + -4i² + -8i²x + -4i²x² + 24x + x² + -6x³ + x⁴ = 0 + -24x + 24x + -1x² + x² + 6x³ + -6x³ + -1x⁴ + x⁴
16 + -4i² + -8i²x + -4i²x² + 24x + x² + -6x³ + x⁴ = -24x + 24x + -1x² + x² + 6x³ + -6x³ + -1x⁴ + x⁴

Combine like terms: -24x + 24x = 0
16 + -4i² + -8i²x + -4i²x² + 24x + x² + -6x³ + x⁴ = 0 + -1x² + x² + 6x³ + -6x³ + -1x⁴ + x⁴
16 + -4i² + -8i²x + -4i²x² + 24x + x² + -6x³ + x⁴ = -1x² + x² + 6x³ + -6x³ + -1x⁴ + x⁴

Combine like terms: -1x² + x² = 0
16 + -4i² + -8i²x + -4i²x² + 24x + x² + -6x³ + x⁴ = 0 + 6x³ + -6x³ + -1x⁴ + x⁴
16 + -4i² + -8i²x + -4i²x² + 24x + x² + -6x³ + x⁴ = 6x³ + -6x³ + -1x⁴ + x⁴

Combine like terms: 6x³ + -6x³ = 0
16 + -4i² + -8i²x + -4i²x² + 24x + x² + -6x³ + x⁴ = 0 + -1x⁴ + x⁴
16 + -4i² + -8i²x + -4i²x² + 24x + x² + -6x³ + x⁴ = -1x⁴ + x⁴

Combine like terms: -1x⁴ + x⁴ = 0
16 + -4i² + -8i²x + -4i²x² + 24x + x² + -6x³ + x⁴ = 0

The solution to this equation could not be determined.

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

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

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