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

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

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

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

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

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

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

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

Combine like terms: 4x + 2x = 6x
(8 + 6x + x²)(-2 + -2i + x)(-2 + 2i + x) = 0

Multiply (8 + 6x + x²) * (-2 + -2i + x)
(8(-2 + -2i + x) + 6x * (-2 + -2i + x) + x²(-2 + -2i + x))(-2 + 2i + x) = 0
((-2 * 8 + -2i * 8 + x * 8) + 6x * (-2 + -2i + x) + x²(-2 + -2i + x))(-2 + 2i + x) = 0
((-16 + -16i + 8x) + 6x * (-2 + -2i + x) + x²(-2 + -2i + x))(-2 + 2i + x) = 0
(-16 + -16i + 8x + (-2 * 6x + -2i * 6x + x * 6x) + x²(-2 + -2i + x))(-2 + 2i + x) = 0

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

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

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

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

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

Multiply (-16 + -16i + -12ix + -2ix² + -4x + 4x² + x³) * (-2 + 2i + x)
(-16(-2 + 2i + x) + -16i * (-2 + 2i + x) + -12ix * (-2 + 2i + x) + -2ix² * (-2 + 2i + x) + -4x * (-2 + 2i + x) + 4x² * (-2 + 2i + x) + x³(-2 + 2i + x)) = 0
((-2 * -16 + 2i * -16 + x * -16) + -16i * (-2 + 2i + x) + -12ix * (-2 + 2i + x) + -2ix² * (-2 + 2i + x) + -4x * (-2 + 2i + x) + 4x² * (-2 + 2i + x) + x³(-2 + 2i + x)) = 0
((32 + -32i + -16x) + -16i * (-2 + 2i + x) + -12ix * (-2 + 2i + x) + -2ix² * (-2 + 2i + x) + -4x * (-2 + 2i + x) + 4x² * (-2 + 2i + x) + x³(-2 + 2i + x)) = 0
(32 + -32i + -16x + (-2 * -16i + 2i * -16i + x * -16i) + -12ix * (-2 + 2i + x) + -2ix² * (-2 + 2i + x) + -4x * (-2 + 2i + x) + 4x² * (-2 + 2i + x) + x³(-2 + 2i + x)) = 0

Reorder the terms:
(32 + -32i + -16x + (32i + -16ix + -32i²) + -12ix * (-2 + 2i + x) + -2ix² * (-2 + 2i + x) + -4x * (-2 + 2i + x) + 4x² * (-2 + 2i + x) + x³(-2 + 2i + x)) = 0
(32 + -32i + -16x + (32i + -16ix + -32i²) + -12ix * (-2 + 2i + x) + -2ix² * (-2 + 2i + x) + -4x * (-2 + 2i + x) + 4x² * (-2 + 2i + x) + x³(-2 + 2i + x)) = 0
(32 + -32i + -16x + 32i + -16ix + -32i² + (-2 * -12ix + 2i * -12ix + x * -12ix) + -2ix² * (-2 + 2i + x) + -4x * (-2 + 2i + x) + 4x² * (-2 + 2i + x) + x³(-2 + 2i + x)) = 0

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

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

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

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

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

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

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

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

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

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

Combine like terms: -8ix² + 8ix² = 0
(32 + 0 + -2ix³ + 2ix³ + -32i² + -24i²x + -4i²x² + -16x + 8x + -4x² + -8x² + 4x³ + -2x³ + x⁴) = 0
(32 + -2ix³ + 2ix³ + -32i² + -24i²x + -4i²x² + -16x + 8x + -4x² + -8x² + 4x³ + -2x³ + x⁴) = 0

Combine like terms: -2ix³ + 2ix³ = 0
(32 + 0 + -32i² + -24i²x + -4i²x² + -16x + 8x + -4x² + -8x² + 4x³ + -2x³ + x⁴) = 0
(32 + -32i² + -24i²x + -4i²x² + -16x + 8x + -4x² + -8x² + 4x³ + -2x³ + x⁴) = 0

Combine like terms: -16x + 8x = -8x
(32 + -32i² + -24i²x + -4i²x² + -8x + -4x² + -8x² + 4x³ + -2x³ + x⁴) = 0

Combine like terms: -4x² + -8x² = -12x²
(32 + -32i² + -24i²x + -4i²x² + -8x + -12x² + 4x³ + -2x³ + x⁴) = 0

Combine like terms: 4x³ + -2x³ = 2x³
(32 + -32i² + -24i²x + -4i²x² + -8x + -12x² + 2x³ + x⁴) = 0

Solving
32 + -32i² + -24i²x + -4i²x² + -8x + -12x² + 2x³ + x⁴ = 0

Solving for variable 'i'.

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

Add '-32' to each side of the equation.
32 + -32i² + -24i²x + -4i²x² + -8x + -12x² + 2x³ + -32 + x⁴ = 0 + -32

Reorder the terms:
32 + -32 + -32i² + -24i²x + -4i²x² + -8x + -12x² + 2x³ + x⁴ = 0 + -32

Combine like terms: 32 + -32 = 0
0 + -32i² + -24i²x + -4i²x² + -8x + -12x² + 2x³ + x⁴ = 0 + -32
-32i² + -24i²x + -4i²x² + -8x + -12x² + 2x³ + x⁴ = 0 + -32

Combine like terms: 0 + -32 = -32
-32i² + -24i²x + -4i²x² + -8x + -12x² + 2x³ + x⁴ = -32

Add '8x' to each side of the equation.
-32i² + -24i²x + -4i²x² + -8x + -12x² + 2x³ + 8x + x⁴ = -32 + 8x

Reorder the terms:
-32i² + -24i²x + -4i²x² + -8x + 8x + -12x² + 2x³ + x⁴ = -32 + 8x

Combine like terms: -8x + 8x = 0
-32i² + -24i²x + -4i²x² + 0 + -12x² + 2x³ + x⁴ = -32 + 8x
-32i² + -24i²x + -4i²x² + -12x² + 2x³ + x⁴ = -32 + 8x

Add '12x²' to each side of the equation.
-32i² + -24i²x + -4i²x² + -12x² + 2x³ + 12x² + x⁴ = -32 + 8x + 12x²

Reorder the terms:
-32i² + -24i²x + -4i²x² + -12x² + 12x² + 2x³ + x⁴ = -32 + 8x + 12x²

Combine like terms: -12x² + 12x² = 0
-32i² + -24i²x + -4i²x² + 0 + 2x³ + x⁴ = -32 + 8x + 12x²
-32i² + -24i²x + -4i²x² + 2x³ + x⁴ = -32 + 8x + 12x²

Add '-2x³' to each side of the equation.
-32i² + -24i²x + -4i²x² + 2x³ + -2x³ + x⁴ = -32 + 8x + 12x² + -2x³

Combine like terms: 2x³ + -2x³ = 0
-32i² + -24i²x + -4i²x² + 0 + x⁴ = -32 + 8x + 12x² + -2x³
-32i² + -24i²x + -4i²x² + x⁴ = -32 + 8x + 12x² + -2x³

Add '-1x⁴' to each side of the equation.
-32i² + -24i²x + -4i²x² + x⁴ + -1x⁴ = -32 + 8x + 12x² + -2x³ + -1x⁴

Combine like terms: x⁴ + -1x⁴ = 0
-32i² + -24i²x + -4i²x² + 0 = -32 + 8x + 12x² + -2x³ + -1x⁴
-32i² + -24i²x + -4i²x² = -32 + 8x + 12x² + -2x³ + -1x⁴

Reorder the terms:
32 + -32i² + -24i²x + -4i²x² + -8x + -12x² + 2x³ + x⁴ = -32 + 8x + 12x² + -2x³ + -1x⁴ + 32 + -8x + -12x² + 2x³ + x⁴

Reorder the terms:
32 + -32i² + -24i²x + -4i²x² + -8x + -12x² + 2x³ + x⁴ = -32 + 32 + 8x + -8x + 12x² + -12x² + -2x³ + 2x³ + -1x⁴ + x⁴

Combine like terms: -32 + 32 = 0
32 + -32i² + -24i²x + -4i²x² + -8x + -12x² + 2x³ + x⁴ = 0 + 8x + -8x + 12x² + -12x² + -2x³ + 2x³ + -1x⁴ + x⁴
32 + -32i² + -24i²x + -4i²x² + -8x + -12x² + 2x³ + x⁴ = 8x + -8x + 12x² + -12x² + -2x³ + 2x³ + -1x⁴ + x⁴

Combine like terms: 8x + -8x = 0
32 + -32i² + -24i²x + -4i²x² + -8x + -12x² + 2x³ + x⁴ = 0 + 12x² + -12x² + -2x³ + 2x³ + -1x⁴ + x⁴
32 + -32i² + -24i²x + -4i²x² + -8x + -12x² + 2x³ + x⁴ = 12x² + -12x² + -2x³ + 2x³ + -1x⁴ + x⁴

Combine like terms: 12x² + -12x² = 0
32 + -32i² + -24i²x + -4i²x² + -8x + -12x² + 2x³ + x⁴ = 0 + -2x³ + 2x³ + -1x⁴ + x⁴
32 + -32i² + -24i²x + -4i²x² + -8x + -12x² + 2x³ + x⁴ = -2x³ + 2x³ + -1x⁴ + x⁴

Combine like terms: -2x³ + 2x³ = 0
32 + -32i² + -24i²x + -4i²x² + -8x + -12x² + 2x³ + x⁴ = 0 + -1x⁴ + x⁴
32 + -32i² + -24i²x + -4i²x² + -8x + -12x² + 2x³ + x⁴ = -1x⁴ + x⁴

Combine like terms: -1x⁴ + x⁴ = 0
32 + -32i² + -24i²x + -4i²x² + -8x + -12x² + 2x³ + x⁴ = 0

The solution to this equation could not be determined.

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

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

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