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

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

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

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

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

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

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

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

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

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

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

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

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

Solving for variable 'a'.

The solution to this equation could not be determined.

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