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

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


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

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

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

Reorder the terms:
Y = (2i + x)(-2i + x)(0 + x)(x + -2)(x + -2)
Remove the zero:
Y = (2i + x)(-2i + x)(x)(x + -2)(x + -2)

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

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

Reorder the terms for easier multiplication:
Y = x(2i + x)(-2i + x)(-2 + x)(-2 + x)

Multiply (2i + x) * (-2i + x)
Y = x(2i * (-2i + x) + x(-2i + x))(-2 + x)(-2 + x)
Y = x((-2i * 2i + x * 2i) + x(-2i + x))(-2 + x)(-2 + x)

Reorder the terms:
Y = x((2ix + -4i2) + x(-2i + x))(-2 + x)(-2 + x)
Y = x((2ix + -4i2) + x(-2i + x))(-2 + x)(-2 + x)
Y = x(2ix + -4i2 + (-2i * x + x * x))(-2 + x)(-2 + x)
Y = x(2ix + -4i2 + (-2ix + x2))(-2 + x)(-2 + x)

Reorder the terms:
Y = x(2ix + -2ix + -4i2 + x2)(-2 + x)(-2 + x)

Combine like terms: 2ix + -2ix = 0
Y = x(0 + -4i2 + x2)(-2 + x)(-2 + x)
Y = x(-4i2 + x2)(-2 + x)(-2 + x)

Multiply (-4i2 + x2) * (-2 + x)
Y = x(-4i2 * (-2 + x) + x2(-2 + x))(-2 + x)
Y = x((-2 * -4i2 + x * -4i2) + x2(-2 + x))(-2 + x)
Y = x((8i2 + -4i2x) + x2(-2 + x))(-2 + x)
Y = x(8i2 + -4i2x + (-2 * x2 + x * x2))(-2 + x)
Y = x(8i2 + -4i2x + (-2x2 + x3))(-2 + x)
Y = x(8i2 + -4i2x + -2x2 + x3)(-2 + x)

Multiply (8i2 + -4i2x + -2x2 + x3) * (-2 + x)
Y = x(8i2 * (-2 + x) + -4i2x * (-2 + x) + -2x2 * (-2 + x) + x3(-2 + x))
Y = x((-2 * 8i2 + x * 8i2) + -4i2x * (-2 + x) + -2x2 * (-2 + x) + x3(-2 + x))
Y = x((-16i2 + 8i2x) + -4i2x * (-2 + x) + -2x2 * (-2 + x) + x3(-2 + x))
Y = x(-16i2 + 8i2x + (-2 * -4i2x + x * -4i2x) + -2x2 * (-2 + x) + x3(-2 + x))
Y = x(-16i2 + 8i2x + (8i2x + -4i2x2) + -2x2 * (-2 + x) + x3(-2 + x))
Y = x(-16i2 + 8i2x + 8i2x + -4i2x2 + (-2 * -2x2 + x * -2x2) + x3(-2 + x))
Y = x(-16i2 + 8i2x + 8i2x + -4i2x2 + (4x2 + -2x3) + x3(-2 + x))
Y = x(-16i2 + 8i2x + 8i2x + -4i2x2 + 4x2 + -2x3 + (-2 * x3 + x * x3))
Y = x(-16i2 + 8i2x + 8i2x + -4i2x2 + 4x2 + -2x3 + (-2x3 + x4))

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

Combine like terms: -2x3 + -2x3 = -4x3
Y = x(-16i2 + 16i2x + -4i2x2 + 4x2 + -4x3 + x4)
Y = (-16i2 * x + 16i2x * x + -4i2x2 * x + 4x2 * x + -4x3 * x + x4 * x)
Y = (-16i2x + 16i2x2 + -4i2x3 + 4x3 + -4x4 + x5)

Solving
Y = -16i2x + 16i2x2 + -4i2x3 + 4x3 + -4x4 + x5

Solving for variable 'Y'.

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

Simplifying
Y = -16i2x + 16i2x2 + -4i2x3 + 4x3 + -4x4 + x5

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