a^2+a^2+2=144

Solution for a^2+a^2+2=144 equation:

Simplifying
a2 + a2 + 2 = 144

Reorder the terms:
2 + a2 + a2 = 144

Combine like terms: a2 + a2 = 2a2
2 + 2a2 = 144

Solving
2 + 2a2 = 144

Solving for variable 'a'.

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

Add '-2' to each side of the equation.
2 + -2 + 2a2 = 144 + -2

Combine like terms: 2 + -2 = 0
0 + 2a2 = 144 + -2
2a2 = 144 + -2

Combine like terms: 144 + -2 = 142
2a2 = 142

Divide each side by '2'.
a2 = 71

Simplifying
a2 = 71

Take the square root of each side:
a = {-8.426149773, 8.426149773}