2(x^2+3)=66

Solution for 2(x^2+3)=66 equation:

Simplifying
2(x2 + 3) = 66

Reorder the terms:
2(3 + x2) = 66
(3 * 2 + x2 * 2) = 66
(6 + 2x2) = 66

Solving
6 + 2x2 = 66

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 + 2x2 = 66 + -6

Combine like terms: 6 + -6 = 0
0 + 2x2 = 66 + -6
2x2 = 66 + -6

Combine like terms: 66 + -6 = 60
2x2 = 60

Divide each side by '2'.
x2 = 30

Simplifying
x2 = 30

Take the square root of each side:
x = {-5.477225575, 5.477225575}