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

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


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

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

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

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

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

Multiply (a + -1c) * (a + -1c)
2ab + a2 + b2 + (a(a + -1c) + -1c * (a + -1c)) = 0
2ab + a2 + b2 + ((a * a + -1c * a) + -1c * (a + -1c)) = 0

Reorder the terms:
2ab + a2 + b2 + ((-1ac + a2) + -1c * (a + -1c)) = 0
2ab + a2 + b2 + ((-1ac + a2) + -1c * (a + -1c)) = 0
2ab + a2 + b2 + (-1ac + a2 + (a * -1c + -1c * -1c)) = 0
2ab + a2 + b2 + (-1ac + a2 + (-1ac + 1c2)) = 0

Reorder the terms:
2ab + a2 + b2 + (-1ac + -1ac + a2 + 1c2) = 0

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

Reorder the terms:
2ab + -2ac + a2 + a2 + b2 + 1c2 = 0

Combine like terms: a2 + a2 = 2a2
2ab + -2ac + 2a2 + b2 + 1c2 = 0

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

Solving for variable 'a'.

The solution to this equation could not be determined.

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