y=(x-4)(x+8)(2+5i)(2-5i)

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Solution for y=(x-4)(x+8)(2+5i)(2-5i) equation: 


Simplifying
y = (x + -4)(x + 8)(2 + 5i)(2 + -5i)

Reorder the terms:
y = (-4 + x)(x + 8)(2 + 5i)(2 + -5i)

Reorder the terms:
y = (-4 + x)(8 + x)(2 + 5i)(2 + -5i)

Multiply (-4 + x) * (8 + x)
y = (-4(8 + x) + x(8 + x))(2 + 5i)(2 + -5i)
y = ((8 * -4 + x * -4) + x(8 + x))(2 + 5i)(2 + -5i)
y = ((-32 + -4x) + x(8 + x))(2 + 5i)(2 + -5i)
y = (-32 + -4x + (8 * x + x * x))(2 + 5i)(2 + -5i)
y = (-32 + -4x + (8x + x2))(2 + 5i)(2 + -5i)

Combine like terms: -4x + 8x = 4x
y = (-32 + 4x + x2)(2 + 5i)(2 + -5i)

Multiply (-32 + 4x + x2) * (2 + 5i)
y = (-32(2 + 5i) + 4x * (2 + 5i) + x2(2 + 5i))(2 + -5i)
y = ((2 * -32 + 5i * -32) + 4x * (2 + 5i) + x2(2 + 5i))(2 + -5i)
y = ((-64 + -160i) + 4x * (2 + 5i) + x2(2 + 5i))(2 + -5i)
y = (-64 + -160i + (2 * 4x + 5i * 4x) + x2(2 + 5i))(2 + -5i)

Reorder the terms:
y = (-64 + -160i + (20ix + 8x) + x2(2 + 5i))(2 + -5i)
y = (-64 + -160i + (20ix + 8x) + x2(2 + 5i))(2 + -5i)
y = (-64 + -160i + 20ix + 8x + (2 * x2 + 5i * x2))(2 + -5i)

Reorder the terms:
y = (-64 + -160i + 20ix + 8x + (5ix2 + 2x2))(2 + -5i)
y = (-64 + -160i + 20ix + 8x + (5ix2 + 2x2))(2 + -5i)

Reorder the terms:
y = (-64 + -160i + 20ix + 5ix2 + 8x + 2x2)(2 + -5i)
y = (-64 + -160i + 20ix + 5ix2 + 8x + 2x2)(2 + -5i)

Multiply (-64 + -160i + 20ix + 5ix2 + 8x + 2x2) * (2 + -5i)
y = (-64(2 + -5i) + -160i * (2 + -5i) + 20ix * (2 + -5i) + 5ix2 * (2 + -5i) + 8x * (2 + -5i) + 2x2 * (2 + -5i))
y = ((2 * -64 + -5i * -64) + -160i * (2 + -5i) + 20ix * (2 + -5i) + 5ix2 * (2 + -5i) + 8x * (2 + -5i) + 2x2 * (2 + -5i))
y = ((-128 + 320i) + -160i * (2 + -5i) + 20ix * (2 + -5i) + 5ix2 * (2 + -5i) + 8x * (2 + -5i) + 2x2 * (2 + -5i))
y = (-128 + 320i + (2 * -160i + -5i * -160i) + 20ix * (2 + -5i) + 5ix2 * (2 + -5i) + 8x * (2 + -5i) + 2x2 * (2 + -5i))
y = (-128 + 320i + (-320i + 800i2) + 20ix * (2 + -5i) + 5ix2 * (2 + -5i) + 8x * (2 + -5i) + 2x2 * (2 + -5i))
y = (-128 + 320i + -320i + 800i2 + (2 * 20ix + -5i * 20ix) + 5ix2 * (2 + -5i) + 8x * (2 + -5i) + 2x2 * (2 + -5i))
y = (-128 + 320i + -320i + 800i2 + (40ix + -100i2x) + 5ix2 * (2 + -5i) + 8x * (2 + -5i) + 2x2 * (2 + -5i))
y = (-128 + 320i + -320i + 800i2 + 40ix + -100i2x + (2 * 5ix2 + -5i * 5ix2) + 8x * (2 + -5i) + 2x2 * (2 + -5i))
y = (-128 + 320i + -320i + 800i2 + 40ix + -100i2x + (10ix2 + -25i2x2) + 8x * (2 + -5i) + 2x2 * (2 + -5i))
y = (-128 + 320i + -320i + 800i2 + 40ix + -100i2x + 10ix2 + -25i2x2 + (2 * 8x + -5i * 8x) + 2x2 * (2 + -5i))

Reorder the terms:
y = (-128 + 320i + -320i + 800i2 + 40ix + -100i2x + 10ix2 + -25i2x2 + (-40ix + 16x) + 2x2 * (2 + -5i))
y = (-128 + 320i + -320i + 800i2 + 40ix + -100i2x + 10ix2 + -25i2x2 + (-40ix + 16x) + 2x2 * (2 + -5i))
y = (-128 + 320i + -320i + 800i2 + 40ix + -100i2x + 10ix2 + -25i2x2 + -40ix + 16x + (2 * 2x2 + -5i * 2x2))

Reorder the terms:
y = (-128 + 320i + -320i + 800i2 + 40ix + -100i2x + 10ix2 + -25i2x2 + -40ix + 16x + (-10ix2 + 4x2))
y = (-128 + 320i + -320i + 800i2 + 40ix + -100i2x + 10ix2 + -25i2x2 + -40ix + 16x + (-10ix2 + 4x2))

Reorder the terms:
y = (-128 + 320i + -320i + 40ix + -40ix + 10ix2 + -10ix2 + 800i2 + -100i2x + -25i2x2 + 16x + 4x2)

Combine like terms: 320i + -320i = 0
y = (-128 + 0 + 40ix + -40ix + 10ix2 + -10ix2 + 800i2 + -100i2x + -25i2x2 + 16x + 4x2)
y = (-128 + 40ix + -40ix + 10ix2 + -10ix2 + 800i2 + -100i2x + -25i2x2 + 16x + 4x2)

Combine like terms: 40ix + -40ix = 0
y = (-128 + 0 + 10ix2 + -10ix2 + 800i2 + -100i2x + -25i2x2 + 16x + 4x2)
y = (-128 + 10ix2 + -10ix2 + 800i2 + -100i2x + -25i2x2 + 16x + 4x2)

Combine like terms: 10ix2 + -10ix2 = 0
y = (-128 + 0 + 800i2 + -100i2x + -25i2x2 + 16x + 4x2)
y = (-128 + 800i2 + -100i2x + -25i2x2 + 16x + 4x2)

Solving
y = -128 + 800i2 + -100i2x + -25i2x2 + 16x + 4x2

Solving for variable 'y'.

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

Simplifying
y = -128 + 800i2 + -100i2x + -25i2x2 + 16x + 4x2

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