2(a^2+2)-8=

Solution for 2(a^2+2)-8= equation:

Simplifying
2(a2 + 2) + -8 = 0

Reorder the terms:
2(2 + a2) + -8 = 0
(2 * 2 + a2 * 2) + -8 = 0
(4 + 2a2) + -8 = 0

Reorder the terms:
4 + -8 + 2a2 = 0

Combine like terms: 4 + -8 = -4
-4 + 2a2 = 0

Solving
-4 + 2a2 = 0

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 = 0 + 4

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

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

Divide each side by '2'.
a2 = 2

Simplifying
a2 = 2

Take the square root of each side:
a = {-1.414213562, 1.414213562}