(1-a-b-c)(1-a-b-c)=0

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Solution for (1-a-b-c)(1-a-b-c)=0 equation: 


Simplifying
(1 + -1a + -1b + -1c)(1 + -1a + -1b + -1c) = 0

Multiply (1 + -1a + -1b + -1c) * (1 + -1a + -1b + -1c)
(1(1 + -1a + -1b + -1c) + -1a * (1 + -1a + -1b + -1c) + -1b * (1 + -1a + -1b + -1c) + -1c * (1 + -1a + -1b + -1c)) = 0
((1 * 1 + -1a * 1 + -1b * 1 + -1c * 1) + -1a * (1 + -1a + -1b + -1c) + -1b * (1 + -1a + -1b + -1c) + -1c * (1 + -1a + -1b + -1c)) = 0
((1 + -1a + -1b + -1c) + -1a * (1 + -1a + -1b + -1c) + -1b * (1 + -1a + -1b + -1c) + -1c * (1 + -1a + -1b + -1c)) = 0
(1 + -1a + -1b + -1c + (1 * -1a + -1a * -1a + -1b * -1a + -1c * -1a) + -1b * (1 + -1a + -1b + -1c) + -1c * (1 + -1a + -1b + -1c)) = 0

Reorder the terms:
(1 + -1a + -1b + -1c + (-1a + 1ab + 1ac + 1a2) + -1b * (1 + -1a + -1b + -1c) + -1c * (1 + -1a + -1b + -1c)) = 0
(1 + -1a + -1b + -1c + (-1a + 1ab + 1ac + 1a2) + -1b * (1 + -1a + -1b + -1c) + -1c * (1 + -1a + -1b + -1c)) = 0
(1 + -1a + -1b + -1c + -1a + 1ab + 1ac + 1a2 + (1 * -1b + -1a * -1b + -1b * -1b + -1c * -1b) + -1c * (1 + -1a + -1b + -1c)) = 0

Reorder the terms:
(1 + -1a + -1b + -1c + -1a + 1ab + 1ac + 1a2 + (1ab + -1b + 1bc + 1b2) + -1c * (1 + -1a + -1b + -1c)) = 0
(1 + -1a + -1b + -1c + -1a + 1ab + 1ac + 1a2 + (1ab + -1b + 1bc + 1b2) + -1c * (1 + -1a + -1b + -1c)) = 0
(1 + -1a + -1b + -1c + -1a + 1ab + 1ac + 1a2 + 1ab + -1b + 1bc + 1b2 + (1 * -1c + -1a * -1c + -1b * -1c + -1c * -1c)) = 0

Reorder the terms:
(1 + -1a + -1b + -1c + -1a + 1ab + 1ac + 1a2 + 1ab + -1b + 1bc + 1b2 + (1ac + 1bc + -1c + 1c2)) = 0
(1 + -1a + -1b + -1c + -1a + 1ab + 1ac + 1a2 + 1ab + -1b + 1bc + 1b2 + (1ac + 1bc + -1c + 1c2)) = 0

Reorder the terms:
(1 + -1a + -1a + 1ab + 1ab + 1ac + 1ac + 1a2 + -1b + -1b + 1bc + 1bc + 1b2 + -1c + -1c + 1c2) = 0

Combine like terms: -1a + -1a = -2a
(1 + -2a + 1ab + 1ab + 1ac + 1ac + 1a2 + -1b + -1b + 1bc + 1bc + 1b2 + -1c + -1c + 1c2) = 0

Combine like terms: 1ab + 1ab = 2ab
(1 + -2a + 2ab + 1ac + 1ac + 1a2 + -1b + -1b + 1bc + 1bc + 1b2 + -1c + -1c + 1c2) = 0

Combine like terms: 1ac + 1ac = 2ac
(1 + -2a + 2ab + 2ac + 1a2 + -1b + -1b + 1bc + 1bc + 1b2 + -1c + -1c + 1c2) = 0

Combine like terms: -1b + -1b = -2b
(1 + -2a + 2ab + 2ac + 1a2 + -2b + 1bc + 1bc + 1b2 + -1c + -1c + 1c2) = 0

Combine like terms: 1bc + 1bc = 2bc
(1 + -2a + 2ab + 2ac + 1a2 + -2b + 2bc + 1b2 + -1c + -1c + 1c2) = 0

Combine like terms: -1c + -1c = -2c
(1 + -2a + 2ab + 2ac + 1a2 + -2b + 2bc + 1b2 + -2c + 1c2) = 0

Solving
1 + -2a + 2ab + 2ac + 1a2 + -2b + 2bc + 1b2 + -2c + 1c2 = 0

Solving for variable 'a'.

The solution to this equation could not be determined.

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