-3a^2+a*b^2+a*c^2-3*b*c+6=-a^2+5*a*b-5*c+2

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Solution for -3a^2+a*b^2+a*c^2-3*b*c+6=-a^2+5*a*b-5*c+2 equation: 


Simplifying
-3a2 + a * b2 + a * c2 + -3b * c + 6 = -1a2 + 5a * b + -5c + 2

Multiply a * b2
-3a2 + ab2 + a * c2 + -3b * c + 6 = -1a2 + 5a * b + -5c + 2

Multiply a * c2
-3a2 + ab2 + ac2 + -3b * c + 6 = -1a2 + 5a * b + -5c + 2

Multiply b * c
-3a2 + ab2 + ac2 + -3bc + 6 = -1a2 + 5a * b + -5c + 2

Reorder the terms:
6 + ab2 + ac2 + -3a2 + -3bc = -1a2 + 5a * b + -5c + 2

Multiply a * b
6 + ab2 + ac2 + -3a2 + -3bc = -1a2 + 5ab + -5c + 2

Reorder the terms:
6 + ab2 + ac2 + -3a2 + -3bc = 2 + 5ab + -1a2 + -5c

Solving
6 + ab2 + ac2 + -3a2 + -3bc = 2 + 5ab + -1a2 + -5c

Solving for variable 'a'.

Reorder the terms:
6 + -2 + -5ab + ab2 + ac2 + -3a2 + a2 + -3bc + 5c = 2 + 5ab + -1a2 + -5c + -2 + -5ab + a2 + 5c

Combine like terms: 6 + -2 = 4
4 + -5ab + ab2 + ac2 + -3a2 + a2 + -3bc + 5c = 2 + 5ab + -1a2 + -5c + -2 + -5ab + a2 + 5c

Combine like terms: -3a2 + a2 = -2a2
4 + -5ab + ab2 + ac2 + -2a2 + -3bc + 5c = 2 + 5ab + -1a2 + -5c + -2 + -5ab + a2 + 5c

Reorder the terms:
4 + -5ab + ab2 + ac2 + -2a2 + -3bc + 5c = 2 + -2 + 5ab + -5ab + -1a2 + a2 + -5c + 5c

Combine like terms: 2 + -2 = 0
4 + -5ab + ab2 + ac2 + -2a2 + -3bc + 5c = 0 + 5ab + -5ab + -1a2 + a2 + -5c + 5c
4 + -5ab + ab2 + ac2 + -2a2 + -3bc + 5c = 5ab + -5ab + -1a2 + a2 + -5c + 5c

Combine like terms: 5ab + -5ab = 0
4 + -5ab + ab2 + ac2 + -2a2 + -3bc + 5c = 0 + -1a2 + a2 + -5c + 5c
4 + -5ab + ab2 + ac2 + -2a2 + -3bc + 5c = -1a2 + a2 + -5c + 5c

Combine like terms: -1a2 + a2 = 0
4 + -5ab + ab2 + ac2 + -2a2 + -3bc + 5c = 0 + -5c + 5c
4 + -5ab + ab2 + ac2 + -2a2 + -3bc + 5c = -5c + 5c

Combine like terms: -5c + 5c = 0
4 + -5ab + ab2 + ac2 + -2a2 + -3bc + 5c = 0

The solution to this equation could not be determined.

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