a^2+b^2+c^2=5

Solution for a^2+b^2+c^2=5 equation:

Simplifying
a2 + b2 + c2 = 5

Solving
a2 + b2 + c2 = 5

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 = 5 + -1b2

Combine like terms: b2 + -1b2 = 0
a2 + 0 + c2 = 5 + -1b2
a2 + c2 = 5 + -1b2

Add '-1c2' to each side of the equation.
a2 + c2 + -1c2 = 5 + -1b2 + -1c2

Combine like terms: c2 + -1c2 = 0
a2 + 0 = 5 + -1b2 + -1c2
a2 = 5 + -1b2 + -1c2

Simplifying
a2 = 5 + -1b2 + -1c2

Reorder the terms:
-5 + a2 + b2 + c2 = 5 + -1b2 + -1c2 + -5 + b2 + c2

Reorder the terms:
-5 + a2 + b2 + c2 = 5 + -5 + -1b2 + b2 + -1c2 + c2

Combine like terms: 5 + -5 = 0
-5 + a2 + b2 + c2 = 0 + -1b2 + b2 + -1c2 + c2
-5 + a2 + b2 + c2 = -1b2 + b2 + -1c2 + c2

Combine like terms: -1b2 + b2 = 0
-5 + a2 + b2 + c2 = 0 + -1c2 + c2
-5 + a2 + b2 + c2 = -1c2 + c2

Combine like terms: -1c2 + c2 = 0
-5 + a2 + b2 + c2 = 0

The solution to this equation could not be determined.