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

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


Simplifying
a4 + b4 + c4 = 4abc(a + b + c)
a4 + b4 + c4 = (a * 4abc + b * 4abc + c * 4abc)

Reorder the terms:
a4 + b4 + c4 = (4abc2 + 4ab2c + 4a2bc)
a4 + b4 + c4 = (4abc2 + 4ab2c + 4a2bc)

Solving
a4 + b4 + c4 = 4abc2 + 4ab2c + 4a2bc

Solving for variable 'a'.

Reorder the terms:
-4abc2 + -4ab2c + -4a2bc + a4 + b4 + c4 = 4abc2 + 4ab2c + 4a2bc + -4abc2 + -4ab2c + -4a2bc

Reorder the terms:
-4abc2 + -4ab2c + -4a2bc + a4 + b4 + c4 = 4abc2 + -4abc2 + 4ab2c + -4ab2c + 4a2bc + -4a2bc

Combine like terms: 4abc2 + -4abc2 = 0
-4abc2 + -4ab2c + -4a2bc + a4 + b4 + c4 = 0 + 4ab2c + -4ab2c + 4a2bc + -4a2bc
-4abc2 + -4ab2c + -4a2bc + a4 + b4 + c4 = 4ab2c + -4ab2c + 4a2bc + -4a2bc

Combine like terms: 4ab2c + -4ab2c = 0
-4abc2 + -4ab2c + -4a2bc + a4 + b4 + c4 = 0 + 4a2bc + -4a2bc
-4abc2 + -4ab2c + -4a2bc + a4 + b4 + c4 = 4a2bc + -4a2bc

Combine like terms: 4a2bc + -4a2bc = 0
-4abc2 + -4ab2c + -4a2bc + a4 + b4 + c4 = 0

The solution to this equation could not be determined.

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