(x+2)(x-2)(x-(1-2i))(x-(1+2i))=y

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Solution for (x+2)(x-2)(x-(1-2i))(x-(1+2i))=y equation:

Simplifying
(x + 2)(x + -2)(x + -1(1 + -2i))(x + -1(1 + 2i)) = y

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

Reorder the terms:
(2 + x)(-2 + x)(x + -1(1 + -2i))(x + -1(1 + 2i)) = y
(2 + x)(-2 + x)(x + (1 * -1 + -2i * -1))(x + -1(1 + 2i)) = y
(2 + x)(-2 + x)(x + (-1 + 2i))(x + -1(1 + 2i)) = y

Reorder the terms:
(2 + x)(-2 + x)(-1 + 2i + x)(x + -1(1 + 2i)) = y
(2 + x)(-2 + x)(-1 + 2i + x)(x + (1 * -1 + 2i * -1)) = y
(2 + x)(-2 + x)(-1 + 2i + x)(x + (-1 + -2i)) = y

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

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

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

Multiply (-4 + x²) * (-1 + 2i + x)
(-4(-1 + 2i + x) + x²(-1 + 2i + x))(-1 + -2i + x) = y
((-1 * -4 + 2i * -4 + x * -4) + x²(-1 + 2i + x))(-1 + -2i + x) = y
((4 + -8i + -4x) + x²(-1 + 2i + x))(-1 + -2i + x) = y
(4 + -8i + -4x + (-1 * x² + 2i * x² + x * x²))(-1 + -2i + x) = y

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

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

Multiply (4 + -8i + 2ix² + -4x + -1x² + x³) * (-1 + -2i + x)
(4(-1 + -2i + x) + -8i * (-1 + -2i + x) + 2ix² * (-1 + -2i + x) + -4x * (-1 + -2i + x) + -1x² * (-1 + -2i + x) + x³(-1 + -2i + x)) = y
((-1 * 4 + -2i * 4 + x * 4) + -8i * (-1 + -2i + x) + 2ix² * (-1 + -2i + x) + -4x * (-1 + -2i + x) + -1x² * (-1 + -2i + x) + x³(-1 + -2i + x)) = y
((-4 + -8i + 4x) + -8i * (-1 + -2i + x) + 2ix² * (-1 + -2i + x) + -4x * (-1 + -2i + x) + -1x² * (-1 + -2i + x) + x³(-1 + -2i + x)) = y
(-4 + -8i + 4x + (-1 * -8i + -2i * -8i + x * -8i) + 2ix² * (-1 + -2i + x) + -4x * (-1 + -2i + x) + -1x² * (-1 + -2i + x) + x³(-1 + -2i + x)) = y

Reorder the terms:
(-4 + -8i + 4x + (8i + -8ix + 16i²) + 2ix² * (-1 + -2i + x) + -4x * (-1 + -2i + x) + -1x² * (-1 + -2i + x) + x³(-1 + -2i + x)) = y
(-4 + -8i + 4x + (8i + -8ix + 16i²) + 2ix² * (-1 + -2i + x) + -4x * (-1 + -2i + x) + -1x² * (-1 + -2i + x) + x³(-1 + -2i + x)) = y
(-4 + -8i + 4x + 8i + -8ix + 16i² + (-1 * 2ix² + -2i * 2ix² + x * 2ix²) + -4x * (-1 + -2i + x) + -1x² * (-1 + -2i + x) + x³(-1 + -2i + x)) = y

Reorder the terms:
(-4 + -8i + 4x + 8i + -8ix + 16i² + (-2ix² + 2ix³ + -4i²x²) + -4x * (-1 + -2i + x) + -1x² * (-1 + -2i + x) + x³(-1 + -2i + x)) = y
(-4 + -8i + 4x + 8i + -8ix + 16i² + (-2ix² + 2ix³ + -4i²x²) + -4x * (-1 + -2i + x) + -1x² * (-1 + -2i + x) + x³(-1 + -2i + x)) = y
(-4 + -8i + 4x + 8i + -8ix + 16i² + -2ix² + 2ix³ + -4i²x² + (-1 * -4x + -2i * -4x + x * -4x) + -1x² * (-1 + -2i + x) + x³(-1 + -2i + x)) = y

Reorder the terms:
(-4 + -8i + 4x + 8i + -8ix + 16i² + -2ix² + 2ix³ + -4i²x² + (8ix + 4x + -4x²) + -1x² * (-1 + -2i + x) + x³(-1 + -2i + x)) = y
(-4 + -8i + 4x + 8i + -8ix + 16i² + -2ix² + 2ix³ + -4i²x² + (8ix + 4x + -4x²) + -1x² * (-1 + -2i + x) + x³(-1 + -2i + x)) = y
(-4 + -8i + 4x + 8i + -8ix + 16i² + -2ix² + 2ix³ + -4i²x² + 8ix + 4x + -4x² + (-1 * -1x² + -2i * -1x² + x * -1x²) + x³(-1 + -2i + x)) = y

Reorder the terms:
(-4 + -8i + 4x + 8i + -8ix + 16i² + -2ix² + 2ix³ + -4i²x² + 8ix + 4x + -4x² + (2ix² + 1x² + -1x³) + x³(-1 + -2i + x)) = y
(-4 + -8i + 4x + 8i + -8ix + 16i² + -2ix² + 2ix³ + -4i²x² + 8ix + 4x + -4x² + (2ix² + 1x² + -1x³) + x³(-1 + -2i + x)) = y
(-4 + -8i + 4x + 8i + -8ix + 16i² + -2ix² + 2ix³ + -4i²x² + 8ix + 4x + -4x² + 2ix² + 1x² + -1x³ + (-1 * x³ + -2i * x³ + x * x³)) = y

Reorder the terms:
(-4 + -8i + 4x + 8i + -8ix + 16i² + -2ix² + 2ix³ + -4i²x² + 8ix + 4x + -4x² + 2ix² + 1x² + -1x³ + (-2ix³ + -1x³ + x⁴)) = y
(-4 + -8i + 4x + 8i + -8ix + 16i² + -2ix² + 2ix³ + -4i²x² + 8ix + 4x + -4x² + 2ix² + 1x² + -1x³ + (-2ix³ + -1x³ + x⁴)) = y

Reorder the terms:
(-4 + -8i + 8i + -8ix + 8ix + -2ix² + 2ix² + 2ix³ + -2ix³ + 16i² + -4i²x² + 4x + 4x + -4x² + 1x² + -1x³ + -1x³ + x⁴) = y

Combine like terms: -8i + 8i = 0
(-4 + 0 + -8ix + 8ix + -2ix² + 2ix² + 2ix³ + -2ix³ + 16i² + -4i²x² + 4x + 4x + -4x² + 1x² + -1x³ + -1x³ + x⁴) = y
(-4 + -8ix + 8ix + -2ix² + 2ix² + 2ix³ + -2ix³ + 16i² + -4i²x² + 4x + 4x + -4x² + 1x² + -1x³ + -1x³ + x⁴) = y

Combine like terms: -8ix + 8ix = 0
(-4 + 0 + -2ix² + 2ix² + 2ix³ + -2ix³ + 16i² + -4i²x² + 4x + 4x + -4x² + 1x² + -1x³ + -1x³ + x⁴) = y
(-4 + -2ix² + 2ix² + 2ix³ + -2ix³ + 16i² + -4i²x² + 4x + 4x + -4x² + 1x² + -1x³ + -1x³ + x⁴) = y

Combine like terms: -2ix² + 2ix² = 0
(-4 + 0 + 2ix³ + -2ix³ + 16i² + -4i²x² + 4x + 4x + -4x² + 1x² + -1x³ + -1x³ + x⁴) = y
(-4 + 2ix³ + -2ix³ + 16i² + -4i²x² + 4x + 4x + -4x² + 1x² + -1x³ + -1x³ + x⁴) = y

Combine like terms: 2ix³ + -2ix³ = 0
(-4 + 0 + 16i² + -4i²x² + 4x + 4x + -4x² + 1x² + -1x³ + -1x³ + x⁴) = y
(-4 + 16i² + -4i²x² + 4x + 4x + -4x² + 1x² + -1x³ + -1x³ + x⁴) = y

Combine like terms: 4x + 4x = 8x
(-4 + 16i² + -4i²x² + 8x + -4x² + 1x² + -1x³ + -1x³ + x⁴) = y

Combine like terms: -4x² + 1x² = -3x²
(-4 + 16i² + -4i²x² + 8x + -3x² + -1x³ + -1x³ + x⁴) = y

Combine like terms: -1x³ + -1x³ = -2x³
(-4 + 16i² + -4i²x² + 8x + -3x² + -2x³ + x⁴) = y

Solving
-4 + 16i² + -4i²x² + 8x + -3x² + -2x³ + x⁴ = y

Solving for variable 'i'.

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

Add '4' to each side of the equation.
-4 + 16i² + -4i²x² + 8x + -3x² + -2x³ + 4 + x⁴ = 4 + y

Reorder the terms:
-4 + 4 + 16i² + -4i²x² + 8x + -3x² + -2x³ + x⁴ = 4 + y

Combine like terms: -4 + 4 = 0
0 + 16i² + -4i²x² + 8x + -3x² + -2x³ + x⁴ = 4 + y
16i² + -4i²x² + 8x + -3x² + -2x³ + x⁴ = 4 + y

Add '-8x' to each side of the equation.
16i² + -4i²x² + 8x + -3x² + -2x³ + -8x + x⁴ = 4 + -8x + y

Reorder the terms:
16i² + -4i²x² + 8x + -8x + -3x² + -2x³ + x⁴ = 4 + -8x + y

Combine like terms: 8x + -8x = 0
16i² + -4i²x² + 0 + -3x² + -2x³ + x⁴ = 4 + -8x + y
16i² + -4i²x² + -3x² + -2x³ + x⁴ = 4 + -8x + y

Add '3x²' to each side of the equation.
16i² + -4i²x² + -3x² + -2x³ + 3x² + x⁴ = 4 + -8x + 3x² + y

Reorder the terms:
16i² + -4i²x² + -3x² + 3x² + -2x³ + x⁴ = 4 + -8x + 3x² + y

Combine like terms: -3x² + 3x² = 0
16i² + -4i²x² + 0 + -2x³ + x⁴ = 4 + -8x + 3x² + y
16i² + -4i²x² + -2x³ + x⁴ = 4 + -8x + 3x² + y

Add '2x³' to each side of the equation.
16i² + -4i²x² + -2x³ + 2x³ + x⁴ = 4 + -8x + 3x² + 2x³ + y

Combine like terms: -2x³ + 2x³ = 0
16i² + -4i²x² + 0 + x⁴ = 4 + -8x + 3x² + 2x³ + y
16i² + -4i²x² + x⁴ = 4 + -8x + 3x² + 2x³ + y

Add '-1x⁴' to each side of the equation.
16i² + -4i²x² + x⁴ + -1x⁴ = 4 + -8x + 3x² + 2x³ + -1x⁴ + y

Combine like terms: x⁴ + -1x⁴ = 0
16i² + -4i²x² + 0 = 4 + -8x + 3x² + 2x³ + -1x⁴ + y
16i² + -4i²x² = 4 + -8x + 3x² + 2x³ + -1x⁴ + y

Reorder the terms:
-4 + 16i² + -4i²x² + 8x + -3x² + -2x³ + x⁴ + -1y = 4 + -8x + 3x² + 2x³ + -1x⁴ + y + -4 + 8x + -3x² + -2x³ + x⁴ + -1y

Reorder the terms:
-4 + 16i² + -4i²x² + 8x + -3x² + -2x³ + x⁴ + -1y = 4 + -4 + -8x + 8x + 3x² + -3x² + 2x³ + -2x³ + -1x⁴ + x⁴ + y + -1y

Combine like terms: 4 + -4 = 0
-4 + 16i² + -4i²x² + 8x + -3x² + -2x³ + x⁴ + -1y = 0 + -8x + 8x + 3x² + -3x² + 2x³ + -2x³ + -1x⁴ + x⁴ + y + -1y
-4 + 16i² + -4i²x² + 8x + -3x² + -2x³ + x⁴ + -1y = -8x + 8x + 3x² + -3x² + 2x³ + -2x³ + -1x⁴ + x⁴ + y + -1y

Combine like terms: -8x + 8x = 0
-4 + 16i² + -4i²x² + 8x + -3x² + -2x³ + x⁴ + -1y = 0 + 3x² + -3x² + 2x³ + -2x³ + -1x⁴ + x⁴ + y + -1y
-4 + 16i² + -4i²x² + 8x + -3x² + -2x³ + x⁴ + -1y = 3x² + -3x² + 2x³ + -2x³ + -1x⁴ + x⁴ + y + -1y

Combine like terms: 3x² + -3x² = 0
-4 + 16i² + -4i²x² + 8x + -3x² + -2x³ + x⁴ + -1y = 0 + 2x³ + -2x³ + -1x⁴ + x⁴ + y + -1y
-4 + 16i² + -4i²x² + 8x + -3x² + -2x³ + x⁴ + -1y = 2x³ + -2x³ + -1x⁴ + x⁴ + y + -1y

Combine like terms: 2x³ + -2x³ = 0
-4 + 16i² + -4i²x² + 8x + -3x² + -2x³ + x⁴ + -1y = 0 + -1x⁴ + x⁴ + y + -1y
-4 + 16i² + -4i²x² + 8x + -3x² + -2x³ + x⁴ + -1y = -1x⁴ + x⁴ + y + -1y

Combine like terms: -1x⁴ + x⁴ = 0
-4 + 16i² + -4i²x² + 8x + -3x² + -2x³ + x⁴ + -1y = 0 + y + -1y
-4 + 16i² + -4i²x² + 8x + -3x² + -2x³ + x⁴ + -1y = y + -1y

Combine like terms: y + -1y = 0
-4 + 16i² + -4i²x² + 8x + -3x² + -2x³ + x⁴ + -1y = 0

The solution to this equation could not be determined.

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(x+2)(x-2)(x-(1-2i))(x-(1+2i))=y

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

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