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

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


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

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

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

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

Reorder the terms:
0 = (ab + ab + ac + ac + a2 + bc + bc + b2 + c2)

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

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

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

Solving
0 = 2ab + 2ac + a2 + 2bc + b2 + c2

Solving for variable 'a'.
Remove the zero:
-2ab + -2ac + -1a2 + -2bc + -1b2 + -1c2 = 2ab + 2ac + a2 + 2bc + b2 + c2 + -2ab + -2ac + -1a2 + -2bc + -1b2 + -1c2

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

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

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

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

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

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

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

Factor out the Greatest Common Factor (GCF), '-1'.
-1(2ab + 2ac + a2 + 2bc + b2 + c2) = 0

Ignore the factor -1.

Subproblem 1
Set the factor '(2ab + 2ac + a2 + 2bc + b2 + c2)' equal to zero and attempt to solve:

Simplifying
2ab + 2ac + a2 + 2bc + b2 + c2 = 0

Solving
2ab + 2ac + a2 + 2bc + b2 + c2 = 0

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.

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