A^2+b^2+c^2=ab+ac+bc

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Solution for A^2+b^2+c^2=ab+ac+bc equation: 


Simplifying
A2 + b2 + c2 = ab + ac + bc

Solving
A2 + b2 + c2 = ab + ac + bc

Solving for variable 'A'.

Move all terms containing A to the left, all other terms to the right.

Add '-1b2' to each side of the equation.
A2 + b2 + -1b2 + c2 = ab + ac + bc + -1b2

Combine like terms: b2 + -1b2 = 0
A2 + 0 + c2 = ab + ac + bc + -1b2
A2 + c2 = ab + ac + bc + -1b2

Add '-1c2' to each side of the equation.
A2 + c2 + -1c2 = ab + ac + bc + -1b2 + -1c2

Combine like terms: c2 + -1c2 = 0
A2 + 0 = ab + ac + bc + -1b2 + -1c2
A2 = ab + ac + bc + -1b2 + -1c2

Simplifying
A2 = ab + ac + bc + -1b2 + -1c2

Reorder the terms:
A2 + -1ab + -1ac + -1bc + b2 + c2 = ab + -1ab + ac + -1ac + bc + -1bc + -1b2 + b2 + -1c2 + c2

Combine like terms: ab + -1ab = 0
A2 + -1ab + -1ac + -1bc + b2 + c2 = 0 + ac + -1ac + bc + -1bc + -1b2 + b2 + -1c2 + c2
A2 + -1ab + -1ac + -1bc + b2 + c2 = ac + -1ac + bc + -1bc + -1b2 + b2 + -1c2 + c2

Combine like terms: ac + -1ac = 0
A2 + -1ab + -1ac + -1bc + b2 + c2 = 0 + bc + -1bc + -1b2 + b2 + -1c2 + c2
A2 + -1ab + -1ac + -1bc + b2 + c2 = bc + -1bc + -1b2 + b2 + -1c2 + c2

Combine like terms: bc + -1bc = 0
A2 + -1ab + -1ac + -1bc + b2 + c2 = 0 + -1b2 + b2 + -1c2 + c2
A2 + -1ab + -1ac + -1bc + b2 + c2 = -1b2 + b2 + -1c2 + c2

Combine like terms: -1b2 + b2 = 0
A2 + -1ab + -1ac + -1bc + b2 + c2 = 0 + -1c2 + c2
A2 + -1ab + -1ac + -1bc + b2 + c2 = -1c2 + c2

Combine like terms: -1c2 + c2 = 0
A2 + -1ab + -1ac + -1bc + b2 + c2 = 0

The solution to this equation could not be determined.

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