a^2+b^2+c^2+d^2=e^2+f^2+g^2

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Solution for a^2+b^2+c^2+d^2=e^2+f^2+g^2 equation: 


Simplifying
a2 + b2 + c2 + d2 = e2 + f2 + g2

Solving
a2 + b2 + c2 + d2 = e2 + f2 + g2

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 + c2 + -1b2 + d2 = e2 + f2 + -1b2 + g2

Reorder the terms:
a2 + b2 + -1b2 + c2 + d2 = e2 + f2 + -1b2 + g2

Combine like terms: b2 + -1b2 = 0
a2 + 0 + c2 + d2 = e2 + f2 + -1b2 + g2
a2 + c2 + d2 = e2 + f2 + -1b2 + g2

Reorder the terms:
a2 + c2 + d2 = -1b2 + e2 + f2 + g2

Add '-1c2' to each side of the equation.
a2 + c2 + -1c2 + d2 = -1b2 + e2 + f2 + -1c2 + g2

Combine like terms: c2 + -1c2 = 0
a2 + 0 + d2 = -1b2 + e2 + f2 + -1c2 + g2
a2 + d2 = -1b2 + e2 + f2 + -1c2 + g2

Reorder the terms:
a2 + d2 = -1b2 + -1c2 + e2 + f2 + g2

Add '-1d2' to each side of the equation.
a2 + d2 + -1d2 = -1b2 + -1c2 + e2 + f2 + -1d2 + g2

Combine like terms: d2 + -1d2 = 0
a2 + 0 = -1b2 + -1c2 + e2 + f2 + -1d2 + g2
a2 = -1b2 + -1c2 + e2 + f2 + -1d2 + g2

Reorder the terms:
a2 = -1b2 + -1c2 + -1d2 + e2 + f2 + g2

Simplifying
a2 = -1b2 + -1c2 + -1d2 + e2 + f2 + g2

Reorder the terms:
a2 + b2 + c2 + d2 + -1e2 + -1f2 + -1g2 = -1b2 + b2 + -1c2 + c2 + -1d2 + d2 + e2 + -1e2 + f2 + -1f2 + g2 + -1g2

Combine like terms: -1b2 + b2 = 0
a2 + b2 + c2 + d2 + -1e2 + -1f2 + -1g2 = 0 + -1c2 + c2 + -1d2 + d2 + e2 + -1e2 + f2 + -1f2 + g2 + -1g2
a2 + b2 + c2 + d2 + -1e2 + -1f2 + -1g2 = -1c2 + c2 + -1d2 + d2 + e2 + -1e2 + f2 + -1f2 + g2 + -1g2

Combine like terms: -1c2 + c2 = 0
a2 + b2 + c2 + d2 + -1e2 + -1f2 + -1g2 = 0 + -1d2 + d2 + e2 + -1e2 + f2 + -1f2 + g2 + -1g2
a2 + b2 + c2 + d2 + -1e2 + -1f2 + -1g2 = -1d2 + d2 + e2 + -1e2 + f2 + -1f2 + g2 + -1g2

Combine like terms: -1d2 + d2 = 0
a2 + b2 + c2 + d2 + -1e2 + -1f2 + -1g2 = 0 + e2 + -1e2 + f2 + -1f2 + g2 + -1g2
a2 + b2 + c2 + d2 + -1e2 + -1f2 + -1g2 = e2 + -1e2 + f2 + -1f2 + g2 + -1g2

Combine like terms: e2 + -1e2 = 0
a2 + b2 + c2 + d2 + -1e2 + -1f2 + -1g2 = 0 + f2 + -1f2 + g2 + -1g2
a2 + b2 + c2 + d2 + -1e2 + -1f2 + -1g2 = f2 + -1f2 + g2 + -1g2

Combine like terms: f2 + -1f2 = 0
a2 + b2 + c2 + d2 + -1e2 + -1f2 + -1g2 = 0 + g2 + -1g2
a2 + b2 + c2 + d2 + -1e2 + -1f2 + -1g2 = g2 + -1g2

Combine like terms: g2 + -1g2 = 0
a2 + b2 + c2 + d2 + -1e2 + -1f2 + -1g2 = 0

The solution to this equation could not be determined.

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