(x+4)(x-4)(x-2-5i)(x-2+5i)=0

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Solution for (x+4)(x-4)(x-2-5i)(x-2+5i)=0 equation:

Simplifying
(x + 4)(x + -4)(x + -2 + -5i)(x + -2 + 5i) = 0

Reorder the terms:
(4 + x)(x + -4)(x + -2 + -5i)(x + -2 + 5i) = 0

Reorder the terms:
(4 + x)(-4 + x)(x + -2 + -5i)(x + -2 + 5i) = 0

Reorder the terms:
(4 + x)(-4 + x)(-2 + -5i + x)(x + -2 + 5i) = 0

Reorder the terms:
(4 + x)(-4 + x)(-2 + -5i + x)(-2 + 5i + x) = 0

Multiply (4 + x) * (-4 + x)
(4(-4 + x) + x(-4 + x))(-2 + -5i + x)(-2 + 5i + x) = 0
((-4 * 4 + x * 4) + x(-4 + x))(-2 + -5i + x)(-2 + 5i + x) = 0
((-16 + 4x) + x(-4 + x))(-2 + -5i + x)(-2 + 5i + x) = 0
(-16 + 4x + (-4 * x + x * x))(-2 + -5i + x)(-2 + 5i + x) = 0
(-16 + 4x + (-4x + x²))(-2 + -5i + x)(-2 + 5i + x) = 0

Combine like terms: 4x + -4x = 0
(-16 + 0 + x²)(-2 + -5i + x)(-2 + 5i + x) = 0
(-16 + x²)(-2 + -5i + x)(-2 + 5i + x) = 0

Multiply (-16 + x²) * (-2 + -5i + x)
(-16(-2 + -5i + x) + x²(-2 + -5i + x))(-2 + 5i + x) = 0
((-2 * -16 + -5i * -16 + x * -16) + x²(-2 + -5i + x))(-2 + 5i + x) = 0
((32 + 80i + -16x) + x²(-2 + -5i + x))(-2 + 5i + x) = 0
(32 + 80i + -16x + (-2 * x² + -5i * x² + x * x²))(-2 + 5i + x) = 0

Reorder the terms:
(32 + 80i + -16x + (-5ix² + -2x² + x³))(-2 + 5i + x) = 0
(32 + 80i + -16x + (-5ix² + -2x² + x³))(-2 + 5i + x) = 0

Reorder the terms:
(32 + 80i + -5ix² + -16x + -2x² + x³)(-2 + 5i + x) = 0
(32 + 80i + -5ix² + -16x + -2x² + x³)(-2 + 5i + x) = 0

Multiply (32 + 80i + -5ix² + -16x + -2x² + x³) * (-2 + 5i + x)
(32(-2 + 5i + x) + 80i * (-2 + 5i + x) + -5ix² * (-2 + 5i + x) + -16x * (-2 + 5i + x) + -2x² * (-2 + 5i + x) + x³(-2 + 5i + x)) = 0
((-2 * 32 + 5i * 32 + x * 32) + 80i * (-2 + 5i + x) + -5ix² * (-2 + 5i + x) + -16x * (-2 + 5i + x) + -2x² * (-2 + 5i + x) + x³(-2 + 5i + x)) = 0
((-64 + 160i + 32x) + 80i * (-2 + 5i + x) + -5ix² * (-2 + 5i + x) + -16x * (-2 + 5i + x) + -2x² * (-2 + 5i + x) + x³(-2 + 5i + x)) = 0
(-64 + 160i + 32x + (-2 * 80i + 5i * 80i + x * 80i) + -5ix² * (-2 + 5i + x) + -16x * (-2 + 5i + x) + -2x² * (-2 + 5i + x) + x³(-2 + 5i + x)) = 0

Reorder the terms:
(-64 + 160i + 32x + (-160i + 80ix + 400i²) + -5ix² * (-2 + 5i + x) + -16x * (-2 + 5i + x) + -2x² * (-2 + 5i + x) + x³(-2 + 5i + x)) = 0
(-64 + 160i + 32x + (-160i + 80ix + 400i²) + -5ix² * (-2 + 5i + x) + -16x * (-2 + 5i + x) + -2x² * (-2 + 5i + x) + x³(-2 + 5i + x)) = 0
(-64 + 160i + 32x + -160i + 80ix + 400i² + (-2 * -5ix² + 5i * -5ix² + x * -5ix²) + -16x * (-2 + 5i + x) + -2x² * (-2 + 5i + x) + x³(-2 + 5i + x)) = 0

Reorder the terms:
(-64 + 160i + 32x + -160i + 80ix + 400i² + (10ix² + -5ix³ + -25i²x²) + -16x * (-2 + 5i + x) + -2x² * (-2 + 5i + x) + x³(-2 + 5i + x)) = 0
(-64 + 160i + 32x + -160i + 80ix + 400i² + (10ix² + -5ix³ + -25i²x²) + -16x * (-2 + 5i + x) + -2x² * (-2 + 5i + x) + x³(-2 + 5i + x)) = 0
(-64 + 160i + 32x + -160i + 80ix + 400i² + 10ix² + -5ix³ + -25i²x² + (-2 * -16x + 5i * -16x + x * -16x) + -2x² * (-2 + 5i + x) + x³(-2 + 5i + x)) = 0

Reorder the terms:
(-64 + 160i + 32x + -160i + 80ix + 400i² + 10ix² + -5ix³ + -25i²x² + (-80ix + 32x + -16x²) + -2x² * (-2 + 5i + x) + x³(-2 + 5i + x)) = 0
(-64 + 160i + 32x + -160i + 80ix + 400i² + 10ix² + -5ix³ + -25i²x² + (-80ix + 32x + -16x²) + -2x² * (-2 + 5i + x) + x³(-2 + 5i + x)) = 0
(-64 + 160i + 32x + -160i + 80ix + 400i² + 10ix² + -5ix³ + -25i²x² + -80ix + 32x + -16x² + (-2 * -2x² + 5i * -2x² + x * -2x²) + x³(-2 + 5i + x)) = 0

Reorder the terms:
(-64 + 160i + 32x + -160i + 80ix + 400i² + 10ix² + -5ix³ + -25i²x² + -80ix + 32x + -16x² + (-10ix² + 4x² + -2x³) + x³(-2 + 5i + x)) = 0
(-64 + 160i + 32x + -160i + 80ix + 400i² + 10ix² + -5ix³ + -25i²x² + -80ix + 32x + -16x² + (-10ix² + 4x² + -2x³) + x³(-2 + 5i + x)) = 0
(-64 + 160i + 32x + -160i + 80ix + 400i² + 10ix² + -5ix³ + -25i²x² + -80ix + 32x + -16x² + -10ix² + 4x² + -2x³ + (-2 * x³ + 5i * x³ + x * x³)) = 0

Reorder the terms:
(-64 + 160i + 32x + -160i + 80ix + 400i² + 10ix² + -5ix³ + -25i²x² + -80ix + 32x + -16x² + -10ix² + 4x² + -2x³ + (5ix³ + -2x³ + x⁴)) = 0
(-64 + 160i + 32x + -160i + 80ix + 400i² + 10ix² + -5ix³ + -25i²x² + -80ix + 32x + -16x² + -10ix² + 4x² + -2x³ + (5ix³ + -2x³ + x⁴)) = 0

Reorder the terms:
(-64 + 160i + -160i + 80ix + -80ix + 10ix² + -10ix² + -5ix³ + 5ix³ + 400i² + -25i²x² + 32x + 32x + -16x² + 4x² + -2x³ + -2x³ + x⁴) = 0

Combine like terms: 160i + -160i = 0
(-64 + 0 + 80ix + -80ix + 10ix² + -10ix² + -5ix³ + 5ix³ + 400i² + -25i²x² + 32x + 32x + -16x² + 4x² + -2x³ + -2x³ + x⁴) = 0
(-64 + 80ix + -80ix + 10ix² + -10ix² + -5ix³ + 5ix³ + 400i² + -25i²x² + 32x + 32x + -16x² + 4x² + -2x³ + -2x³ + x⁴) = 0

Combine like terms: 80ix + -80ix = 0
(-64 + 0 + 10ix² + -10ix² + -5ix³ + 5ix³ + 400i² + -25i²x² + 32x + 32x + -16x² + 4x² + -2x³ + -2x³ + x⁴) = 0
(-64 + 10ix² + -10ix² + -5ix³ + 5ix³ + 400i² + -25i²x² + 32x + 32x + -16x² + 4x² + -2x³ + -2x³ + x⁴) = 0

Combine like terms: 10ix² + -10ix² = 0
(-64 + 0 + -5ix³ + 5ix³ + 400i² + -25i²x² + 32x + 32x + -16x² + 4x² + -2x³ + -2x³ + x⁴) = 0
(-64 + -5ix³ + 5ix³ + 400i² + -25i²x² + 32x + 32x + -16x² + 4x² + -2x³ + -2x³ + x⁴) = 0

Combine like terms: -5ix³ + 5ix³ = 0
(-64 + 0 + 400i² + -25i²x² + 32x + 32x + -16x² + 4x² + -2x³ + -2x³ + x⁴) = 0
(-64 + 400i² + -25i²x² + 32x + 32x + -16x² + 4x² + -2x³ + -2x³ + x⁴) = 0

Combine like terms: 32x + 32x = 64x
(-64 + 400i² + -25i²x² + 64x + -16x² + 4x² + -2x³ + -2x³ + x⁴) = 0

Combine like terms: -16x² + 4x² = -12x²
(-64 + 400i² + -25i²x² + 64x + -12x² + -2x³ + -2x³ + x⁴) = 0

Combine like terms: -2x³ + -2x³ = -4x³
(-64 + 400i² + -25i²x² + 64x + -12x² + -4x³ + x⁴) = 0

Solving
-64 + 400i² + -25i²x² + 64x + -12x² + -4x³ + 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 + 400i² + -25i²x² + 64x + -12x² + -4x³ + 64 + x⁴ = 0 + 64

Reorder the terms:
-64 + 64 + 400i² + -25i²x² + 64x + -12x² + -4x³ + x⁴ = 0 + 64

Combine like terms: -64 + 64 = 0
0 + 400i² + -25i²x² + 64x + -12x² + -4x³ + x⁴ = 0 + 64
400i² + -25i²x² + 64x + -12x² + -4x³ + x⁴ = 0 + 64

Combine like terms: 0 + 64 = 64
400i² + -25i²x² + 64x + -12x² + -4x³ + x⁴ = 64

Add '-64x' to each side of the equation.
400i² + -25i²x² + 64x + -12x² + -4x³ + -64x + x⁴ = 64 + -64x

Reorder the terms:
400i² + -25i²x² + 64x + -64x + -12x² + -4x³ + x⁴ = 64 + -64x

Combine like terms: 64x + -64x = 0
400i² + -25i²x² + 0 + -12x² + -4x³ + x⁴ = 64 + -64x
400i² + -25i²x² + -12x² + -4x³ + x⁴ = 64 + -64x

Add '12x²' to each side of the equation.
400i² + -25i²x² + -12x² + -4x³ + 12x² + x⁴ = 64 + -64x + 12x²

Reorder the terms:
400i² + -25i²x² + -12x² + 12x² + -4x³ + x⁴ = 64 + -64x + 12x²

Combine like terms: -12x² + 12x² = 0
400i² + -25i²x² + 0 + -4x³ + x⁴ = 64 + -64x + 12x²
400i² + -25i²x² + -4x³ + x⁴ = 64 + -64x + 12x²

Add '4x³' to each side of the equation.
400i² + -25i²x² + -4x³ + 4x³ + x⁴ = 64 + -64x + 12x² + 4x³

Combine like terms: -4x³ + 4x³ = 0
400i² + -25i²x² + 0 + x⁴ = 64 + -64x + 12x² + 4x³
400i² + -25i²x² + x⁴ = 64 + -64x + 12x² + 4x³

Add '-1x⁴' to each side of the equation.
400i² + -25i²x² + x⁴ + -1x⁴ = 64 + -64x + 12x² + 4x³ + -1x⁴

Combine like terms: x⁴ + -1x⁴ = 0
400i² + -25i²x² + 0 = 64 + -64x + 12x² + 4x³ + -1x⁴
400i² + -25i²x² = 64 + -64x + 12x² + 4x³ + -1x⁴

Reorder the terms:
-64 + 400i² + -25i²x² + 64x + -12x² + -4x³ + x⁴ = 64 + -64x + 12x² + 4x³ + -1x⁴ + -64 + 64x + -12x² + -4x³ + x⁴

Reorder the terms:
-64 + 400i² + -25i²x² + 64x + -12x² + -4x³ + x⁴ = 64 + -64 + -64x + 64x + 12x² + -12x² + 4x³ + -4x³ + -1x⁴ + x⁴

Combine like terms: 64 + -64 = 0
-64 + 400i² + -25i²x² + 64x + -12x² + -4x³ + x⁴ = 0 + -64x + 64x + 12x² + -12x² + 4x³ + -4x³ + -1x⁴ + x⁴
-64 + 400i² + -25i²x² + 64x + -12x² + -4x³ + x⁴ = -64x + 64x + 12x² + -12x² + 4x³ + -4x³ + -1x⁴ + x⁴

Combine like terms: -64x + 64x = 0
-64 + 400i² + -25i²x² + 64x + -12x² + -4x³ + x⁴ = 0 + 12x² + -12x² + 4x³ + -4x³ + -1x⁴ + x⁴
-64 + 400i² + -25i²x² + 64x + -12x² + -4x³ + x⁴ = 12x² + -12x² + 4x³ + -4x³ + -1x⁴ + x⁴

Combine like terms: 12x² + -12x² = 0
-64 + 400i² + -25i²x² + 64x + -12x² + -4x³ + x⁴ = 0 + 4x³ + -4x³ + -1x⁴ + x⁴
-64 + 400i² + -25i²x² + 64x + -12x² + -4x³ + x⁴ = 4x³ + -4x³ + -1x⁴ + x⁴

Combine like terms: 4x³ + -4x³ = 0
-64 + 400i² + -25i²x² + 64x + -12x² + -4x³ + x⁴ = 0 + -1x⁴ + x⁴
-64 + 400i² + -25i²x² + 64x + -12x² + -4x³ + x⁴ = -1x⁴ + x⁴

Combine like terms: -1x⁴ + x⁴ = 0
-64 + 400i² + -25i²x² + 64x + -12x² + -4x³ + x⁴ = 0

The solution to this equation could not be determined.

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(x+4)(x-4)(x-2-5i)(x-2+5i)=0

Simple and best practice solution for (x+4)(x-4)(x-2-5i)(x-2+5i)=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+4)(x-4)(x-2-5i)(x-2+5i)=0 equation:

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