(1+i)(1-i)(1-i)(i-1)=

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Solution for (1+i)(1-i)(1-i)(i-1)= equation:


Simplifying
(1 + i)(1 + -1i)(1 + -1i)(i + -1) = 0

Reorder the terms:
(1 + i)(1 + -1i)(1 + -1i)(-1 + i) = 0

Multiply (1 + i) * (1 + -1i)
(1(1 + -1i) + i(1 + -1i))(1 + -1i)(-1 + i) = 0
((1 * 1 + -1i * 1) + i(1 + -1i))(1 + -1i)(-1 + i) = 0
((1 + -1i) + i(1 + -1i))(1 + -1i)(-1 + i) = 0
(1 + -1i + (1 * i + -1i * i))(1 + -1i)(-1 + i) = 0
(1 + -1i + (1i + -1i2))(1 + -1i)(-1 + i) = 0

Combine like terms: -1i + 1i = 0
(1 + 0 + -1i2)(1 + -1i)(-1 + i) = 0
(1 + -1i2)(1 + -1i)(-1 + i) = 0

Multiply (1 + -1i2) * (1 + -1i)
(1(1 + -1i) + -1i2 * (1 + -1i))(-1 + i) = 0
((1 * 1 + -1i * 1) + -1i2 * (1 + -1i))(-1 + i) = 0
((1 + -1i) + -1i2 * (1 + -1i))(-1 + i) = 0
(1 + -1i + (1 * -1i2 + -1i * -1i2))(-1 + i) = 0
(1 + -1i + (-1i2 + 1i3))(-1 + i) = 0
(1 + -1i + -1i2 + 1i3)(-1 + i) = 0

Multiply (1 + -1i + -1i2 + 1i3) * (-1 + i)
(1(-1 + i) + -1i * (-1 + i) + -1i2 * (-1 + i) + 1i3 * (-1 + i)) = 0
((-1 * 1 + i * 1) + -1i * (-1 + i) + -1i2 * (-1 + i) + 1i3 * (-1 + i)) = 0
((-1 + 1i) + -1i * (-1 + i) + -1i2 * (-1 + i) + 1i3 * (-1 + i)) = 0
(-1 + 1i + (-1 * -1i + i * -1i) + -1i2 * (-1 + i) + 1i3 * (-1 + i)) = 0
(-1 + 1i + (1i + -1i2) + -1i2 * (-1 + i) + 1i3 * (-1 + i)) = 0
(-1 + 1i + 1i + -1i2 + (-1 * -1i2 + i * -1i2) + 1i3 * (-1 + i)) = 0
(-1 + 1i + 1i + -1i2 + (1i2 + -1i3) + 1i3 * (-1 + i)) = 0
(-1 + 1i + 1i + -1i2 + 1i2 + -1i3 + (-1 * 1i3 + i * 1i3)) = 0
(-1 + 1i + 1i + -1i2 + 1i2 + -1i3 + (-1i3 + 1i4)) = 0

Combine like terms: 1i + 1i = 2i
(-1 + 2i + -1i2 + 1i2 + -1i3 + -1i3 + 1i4) = 0

Combine like terms: -1i2 + 1i2 = 0
(-1 + 2i + 0 + -1i3 + -1i3 + 1i4) = 0
(-1 + 2i + -1i3 + -1i3 + 1i4) = 0

Combine like terms: -1i3 + -1i3 = -2i3
(-1 + 2i + -2i3 + 1i4) = 0

Solving
-1 + 2i + -2i3 + 1i4 = 0

Solving for variable 'i'.

The solution to this equation could not be determined.

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