2(r^2+8)=64

Solution for 2(r^2+8)=64 equation:

Simplifying
2(r2 + 8) = 64

Reorder the terms:
2(8 + r2) = 64
(8 * 2 + r2 * 2) = 64
(16 + 2r2) = 64

Solving
16 + 2r2 = 64

Solving for variable 'r'.

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

Add '-16' to each side of the equation.
16 + -16 + 2r2 = 64 + -16

Combine like terms: 16 + -16 = 0
0 + 2r2 = 64 + -16
2r2 = 64 + -16

Combine like terms: 64 + -16 = 48
2r2 = 48

Divide each side by '2'.
r2 = 24

Simplifying
r2 = 24

Take the square root of each side:
r = {-4.898979486, 4.898979486}