3(r^2+2)=33

Solution for 3(r^2+2)=33 equation:

Simplifying
3(r2 + 2) = 33

Reorder the terms:
3(2 + r2) = 33
(2 * 3 + r2 * 3) = 33
(6 + 3r2) = 33

Solving
6 + 3r2 = 33

Solving for variable 'r'.

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

Add '-6' to each side of the equation.
6 + -6 + 3r2 = 33 + -6

Combine like terms: 6 + -6 = 0
0 + 3r2 = 33 + -6
3r2 = 33 + -6

Combine like terms: 33 + -6 = 27
3r2 = 27

Divide each side by '3'.
r2 = 9

Simplifying
r2 = 9

Take the square root of each side:
r = {-3, 3}