3(x^2+2)=8

Solution for 3(x^2+2)=8 equation:

Simplifying
3(x2 + 2) = 8

Reorder the terms:
3(2 + x2) = 8
(2 * 3 + x2 * 3) = 8
(6 + 3x2) = 8

Solving
6 + 3x2 = 8

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 = 8 + -6

Combine like terms: 6 + -6 = 0
0 + 3x2 = 8 + -6
3x2 = 8 + -6

Combine like terms: 8 + -6 = 2
3x2 = 2

Divide each side by '3'.
x2 = 0.6666666667

Simplifying
x2 = 0.6666666667

Take the square root of each side:
x = {-0.816496581, 0.816496581}