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

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


Simplifying
x = (8 + -1i)(8 + -1i)(8 + i)(8 + i)

Multiply (8 + -1i) * (8 + -1i)
x = (8(8 + -1i) + -1i * (8 + -1i))(8 + i)(8 + i)
x = ((8 * 8 + -1i * 8) + -1i * (8 + -1i))(8 + i)(8 + i)
x = ((64 + -8i) + -1i * (8 + -1i))(8 + i)(8 + i)
x = (64 + -8i + (8 * -1i + -1i * -1i))(8 + i)(8 + i)
x = (64 + -8i + (-8i + 1i2))(8 + i)(8 + i)

Combine like terms: -8i + -8i = -16i
x = (64 + -16i + 1i2)(8 + i)(8 + i)

Multiply (64 + -16i + 1i2) * (8 + i)
x = (64(8 + i) + -16i * (8 + i) + 1i2 * (8 + i))(8 + i)
x = ((8 * 64 + i * 64) + -16i * (8 + i) + 1i2 * (8 + i))(8 + i)
x = ((512 + 64i) + -16i * (8 + i) + 1i2 * (8 + i))(8 + i)
x = (512 + 64i + (8 * -16i + i * -16i) + 1i2 * (8 + i))(8 + i)
x = (512 + 64i + (-128i + -16i2) + 1i2 * (8 + i))(8 + i)
x = (512 + 64i + -128i + -16i2 + (8 * 1i2 + i * 1i2))(8 + i)
x = (512 + 64i + -128i + -16i2 + (8i2 + 1i3))(8 + i)

Combine like terms: 64i + -128i = -64i
x = (512 + -64i + -16i2 + 8i2 + 1i3)(8 + i)

Combine like terms: -16i2 + 8i2 = -8i2
x = (512 + -64i + -8i2 + 1i3)(8 + i)

Multiply (512 + -64i + -8i2 + 1i3) * (8 + i)
x = (512(8 + i) + -64i * (8 + i) + -8i2 * (8 + i) + 1i3 * (8 + i))
x = ((8 * 512 + i * 512) + -64i * (8 + i) + -8i2 * (8 + i) + 1i3 * (8 + i))
x = ((4096 + 512i) + -64i * (8 + i) + -8i2 * (8 + i) + 1i3 * (8 + i))
x = (4096 + 512i + (8 * -64i + i * -64i) + -8i2 * (8 + i) + 1i3 * (8 + i))
x = (4096 + 512i + (-512i + -64i2) + -8i2 * (8 + i) + 1i3 * (8 + i))
x = (4096 + 512i + -512i + -64i2 + (8 * -8i2 + i * -8i2) + 1i3 * (8 + i))
x = (4096 + 512i + -512i + -64i2 + (-64i2 + -8i3) + 1i3 * (8 + i))
x = (4096 + 512i + -512i + -64i2 + -64i2 + -8i3 + (8 * 1i3 + i * 1i3))
x = (4096 + 512i + -512i + -64i2 + -64i2 + -8i3 + (8i3 + 1i4))

Combine like terms: 512i + -512i = 0
x = (4096 + 0 + -64i2 + -64i2 + -8i3 + 8i3 + 1i4)
x = (4096 + -64i2 + -64i2 + -8i3 + 8i3 + 1i4)

Combine like terms: -64i2 + -64i2 = -128i2
x = (4096 + -128i2 + -8i3 + 8i3 + 1i4)

Combine like terms: -8i3 + 8i3 = 0
x = (4096 + -128i2 + 0 + 1i4)
x = (4096 + -128i2 + 1i4)

Solving
x = 4096 + -128i2 + 1i4

Solving for variable 'x'.

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

Simplifying
x = 4096 + -128i2 + 1i4

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