(a*a)+(b+b)=31

Solution for (a*a)+(b+b)=31 equation:

Simplifying
(a * a) + (b + b) = 31

Multiply a * a
(a2) + (b + b) = 31
a2 + (b + b) = 31

Combine like terms: b + b = 2b
a2 + (2b) = 31
a2 + (2b) = 31

Solving
a2 + (2b) = 31

Solving for variable 'a'.

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

Add '(-2b)' to each side of the equation.
a2 + (2b) + (-2b) = 31 + (-2b)

Combine like terms: (2b) + (-2b) = 0
a2 + 0 = 31 + (-2b)
a2 = 31 + (-2b)

Simplifying
a2 = 31 + (-2b)

Reorder the terms:
-31 + a2 + (2b) = 31 + (-2b) + -31 + (2b)

Reorder the terms:
-31 + a2 + (2b) = 31 + -31 + (-2b) + (2b)

Combine like terms: 31 + -31 = 0
-31 + a2 + (2b) = 0 + (-2b) + (2b)
-31 + a2 + (2b) = (-2b) + (2b)

Combine like terms: (-2b) + (2b) = 0
-31 + a2 + (2b) = 0

The solution to this equation could not be determined.