3(x^2+2)=33

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

Simplifying
3(x2 + 2) = 33

Reorder the terms:
3(2 + x2) = 33
(2 * 3 + x2 * 3) = 33
(6 + 3x2) = 33

Solving
6 + 3x2 = 33

Solving for variable 'x'.

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

Add '-6' to each side of the equation.
6 + -6 + 3x2 = 33 + -6

Combine like terms: 6 + -6 = 0
0 + 3x2 = 33 + -6
3x2 = 33 + -6

Combine like terms: 33 + -6 = 27
3x2 = 27

Divide each side by '3'.
x2 = 9

Simplifying
x2 = 9

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