a^2+b^2+2c^2=4

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Solution for a^2+b^2+2c^2=4 equation: 


Simplifying
a2 + b2 + 2c2 = 4

Solving
a2 + b2 + 2c2 = 4

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 + 2c2 = 4 + -1b2

Combine like terms: b2 + -1b2 = 0
a2 + 0 + 2c2 = 4 + -1b2
a2 + 2c2 = 4 + -1b2

Add '-2c2' to each side of the equation.
a2 + 2c2 + -2c2 = 4 + -1b2 + -2c2

Combine like terms: 2c2 + -2c2 = 0
a2 + 0 = 4 + -1b2 + -2c2
a2 = 4 + -1b2 + -2c2

Simplifying
a2 = 4 + -1b2 + -2c2

Reorder the terms:
-4 + a2 + b2 + 2c2 = 4 + -1b2 + -2c2 + -4 + b2 + 2c2

Reorder the terms:
-4 + a2 + b2 + 2c2 = 4 + -4 + -1b2 + b2 + -2c2 + 2c2

Combine like terms: 4 + -4 = 0
-4 + a2 + b2 + 2c2 = 0 + -1b2 + b2 + -2c2 + 2c2
-4 + a2 + b2 + 2c2 = -1b2 + b2 + -2c2 + 2c2

Combine like terms: -1b2 + b2 = 0
-4 + a2 + b2 + 2c2 = 0 + -2c2 + 2c2
-4 + a2 + b2 + 2c2 = -2c2 + 2c2

Combine like terms: -2c2 + 2c2 = 0
-4 + a2 + b2 + 2c2 = 0

The solution to this equation could not be determined.

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