a^2+b^2=2

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

Simplifying
a2 + b2 = 2

Solving
a2 + b2 = 2

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 = 2 + -1b2

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

Simplifying
a2 = 2 + -1b2

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

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

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

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

Factor a trinomial.
(a + -1b)(a + -1b) = 0

Subproblem 1
Set the factor '(a + -1b)' equal to zero and attempt to solve:

Simplifying
a + -1b = 0

Solving
a + -1b = 0

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

Add 'b' to each side of the equation.
a + -1b + b = 0 + b

Combine like terms: -1b + b = 0
a + 0 = 0 + b
a = 0 + b
Remove the zero:
a = b

Simplifying
a = b
Subproblem 2
Set the factor '(a + -1b)' equal to zero and attempt to solve:

Simplifying
a + -1b = 0

Solving
a + -1b = 0

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

Add 'b' to each side of the equation.
a + -1b + b = 0 + b

Combine like terms: -1b + b = 0
a + 0 = 0 + b
a = 0 + b
Remove the zero:
a = b

Simplifying
a = b
Solution
a = {b, b}