(4a+4b+4c)(4a+4b+4c)=

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Solution for (4a+4b+4c)(4a+4b+4c)= equation: 


Simplifying
(4a + 4b + 4c)(4a + 4b + 4c) = 0

Multiply (4a + 4b + 4c) * (4a + 4b + 4c)
(4a * (4a + 4b + 4c) + 4b * (4a + 4b + 4c) + 4c * (4a + 4b + 4c)) = 0
((4a * 4a + 4b * 4a + 4c * 4a) + 4b * (4a + 4b + 4c) + 4c * (4a + 4b + 4c)) = 0

Reorder the terms:
((16ab + 16ac + 16a2) + 4b * (4a + 4b + 4c) + 4c * (4a + 4b + 4c)) = 0
((16ab + 16ac + 16a2) + 4b * (4a + 4b + 4c) + 4c * (4a + 4b + 4c)) = 0
(16ab + 16ac + 16a2 + (4a * 4b + 4b * 4b + 4c * 4b) + 4c * (4a + 4b + 4c)) = 0

Reorder the terms:
(16ab + 16ac + 16a2 + (16ab + 16bc + 16b2) + 4c * (4a + 4b + 4c)) = 0
(16ab + 16ac + 16a2 + (16ab + 16bc + 16b2) + 4c * (4a + 4b + 4c)) = 0
(16ab + 16ac + 16a2 + 16ab + 16bc + 16b2 + (4a * 4c + 4b * 4c + 4c * 4c)) = 0
(16ab + 16ac + 16a2 + 16ab + 16bc + 16b2 + (16ac + 16bc + 16c2)) = 0

Reorder the terms:
(16ab + 16ab + 16ac + 16ac + 16a2 + 16bc + 16bc + 16b2 + 16c2) = 0

Combine like terms: 16ab + 16ab = 32ab
(32ab + 16ac + 16ac + 16a2 + 16bc + 16bc + 16b2 + 16c2) = 0

Combine like terms: 16ac + 16ac = 32ac
(32ab + 32ac + 16a2 + 16bc + 16bc + 16b2 + 16c2) = 0

Combine like terms: 16bc + 16bc = 32bc
(32ab + 32ac + 16a2 + 32bc + 16b2 + 16c2) = 0

Solving
32ab + 32ac + 16a2 + 32bc + 16b2 + 16c2 = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), '16'.
16(2ab + 2ac + a2 + 2bc + b2 + c2) = 0

Ignore the factor 16.

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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