(a-b-c+d)(a-b-c-d)=

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Solution for (a-b-c+d)(a-b-c-d)= equation: 


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

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

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

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

Reorder the terms:
(-1ab + -1ac + -1ad + a2 + -1ab + 1bc + 1bd + 1b2 + (-1ac + 1bc + 1cd + 1c2) + d(a + -1b + -1c + -1d)) = 0
(-1ab + -1ac + -1ad + a2 + -1ab + 1bc + 1bd + 1b2 + (-1ac + 1bc + 1cd + 1c2) + d(a + -1b + -1c + -1d)) = 0
(-1ab + -1ac + -1ad + a2 + -1ab + 1bc + 1bd + 1b2 + -1ac + 1bc + 1cd + 1c2 + (a * d + -1b * d + -1c * d + -1d * d)) = 0
(-1ab + -1ac + -1ad + a2 + -1ab + 1bc + 1bd + 1b2 + -1ac + 1bc + 1cd + 1c2 + (ad + -1bd + -1cd + -1d2)) = 0

Reorder the terms:
(-1ab + -1ab + -1ac + -1ac + -1ad + ad + a2 + 1bc + 1bc + 1bd + -1bd + 1b2 + 1cd + -1cd + 1c2 + -1d2) = 0

Combine like terms: -1ab + -1ab = -2ab
(-2ab + -1ac + -1ac + -1ad + ad + a2 + 1bc + 1bc + 1bd + -1bd + 1b2 + 1cd + -1cd + 1c2 + -1d2) = 0

Combine like terms: -1ac + -1ac = -2ac
(-2ab + -2ac + -1ad + ad + a2 + 1bc + 1bc + 1bd + -1bd + 1b2 + 1cd + -1cd + 1c2 + -1d2) = 0

Combine like terms: -1ad + ad = 0
(-2ab + -2ac + 0 + a2 + 1bc + 1bc + 1bd + -1bd + 1b2 + 1cd + -1cd + 1c2 + -1d2) = 0
(-2ab + -2ac + a2 + 1bc + 1bc + 1bd + -1bd + 1b2 + 1cd + -1cd + 1c2 + -1d2) = 0

Combine like terms: 1bc + 1bc = 2bc
(-2ab + -2ac + a2 + 2bc + 1bd + -1bd + 1b2 + 1cd + -1cd + 1c2 + -1d2) = 0

Combine like terms: 1bd + -1bd = 0
(-2ab + -2ac + a2 + 2bc + 0 + 1b2 + 1cd + -1cd + 1c2 + -1d2) = 0
(-2ab + -2ac + a2 + 2bc + 1b2 + 1cd + -1cd + 1c2 + -1d2) = 0

Combine like terms: 1cd + -1cd = 0
(-2ab + -2ac + a2 + 2bc + 1b2 + 0 + 1c2 + -1d2) = 0
(-2ab + -2ac + a2 + 2bc + 1b2 + 1c2 + -1d2) = 0

Solving
-2ab + -2ac + a2 + 2bc + 1b2 + 1c2 + -1d2 = 0

Solving for variable 'a'.

The solution to this equation could not be determined.

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