Y=(x-8-5i)(x+8+5i)

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Solution for Y=(x-8-5i)(x+8+5i) equation: 


Simplifying
Y = (x + -8 + -5i)(x + 8 + 5i)

Reorder the terms:
Y = (-8 + -5i + x)(x + 8 + 5i)

Reorder the terms:
Y = (-8 + -5i + x)(8 + 5i + x)

Multiply (-8 + -5i + x) * (8 + 5i + x)
Y = (-8(8 + 5i + x) + -5i * (8 + 5i + x) + x(8 + 5i + x))
Y = ((8 * -8 + 5i * -8 + x * -8) + -5i * (8 + 5i + x) + x(8 + 5i + x))
Y = ((-64 + -40i + -8x) + -5i * (8 + 5i + x) + x(8 + 5i + x))
Y = (-64 + -40i + -8x + (8 * -5i + 5i * -5i + x * -5i) + x(8 + 5i + x))

Reorder the terms:
Y = (-64 + -40i + -8x + (-40i + -5ix + -25i2) + x(8 + 5i + x))
Y = (-64 + -40i + -8x + (-40i + -5ix + -25i2) + x(8 + 5i + x))
Y = (-64 + -40i + -8x + -40i + -5ix + -25i2 + (8 * x + 5i * x + x * x))

Reorder the terms:
Y = (-64 + -40i + -8x + -40i + -5ix + -25i2 + (5ix + 8x + x2))
Y = (-64 + -40i + -8x + -40i + -5ix + -25i2 + (5ix + 8x + x2))

Reorder the terms:
Y = (-64 + -40i + -40i + -5ix + 5ix + -25i2 + -8x + 8x + x2)

Combine like terms: -40i + -40i = -80i
Y = (-64 + -80i + -5ix + 5ix + -25i2 + -8x + 8x + x2)

Combine like terms: -5ix + 5ix = 0
Y = (-64 + -80i + 0 + -25i2 + -8x + 8x + x2)
Y = (-64 + -80i + -25i2 + -8x + 8x + x2)

Combine like terms: -8x + 8x = 0
Y = (-64 + -80i + -25i2 + 0 + x2)
Y = (-64 + -80i + -25i2 + x2)

Solving
Y = -64 + -80i + -25i2 + x2

Solving for variable 'Y'.

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

Simplifying
Y = -64 + -80i + -25i2 + x2

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