a^2+(a^2+4)=100

Solution for a^2+(a^2+4)=100 equation:

Simplifying
a2 + (a2 + 4) = 100

Reorder the terms:
a2 + (4 + a2) = 100

Remove parenthesis around (4 + a2)
a2 + 4 + a2 = 100

Reorder the terms:
4 + a2 + a2 = 100

Combine like terms: a2 + a2 = 2a2
4 + 2a2 = 100

Solving
4 + 2a2 = 100

Solving for variable 'a'.

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

Add '-4' to each side of the equation.
4 + -4 + 2a2 = 100 + -4

Combine like terms: 4 + -4 = 0
0 + 2a2 = 100 + -4
2a2 = 100 + -4

Combine like terms: 100 + -4 = 96
2a2 = 96

Divide each side by '2'.
a2 = 48

Simplifying
a2 = 48

Take the square root of each side:
a = {-6.92820323, 6.92820323}