2(x^2+3)=75

Solution for 2(x^2+3)=75 equation:

Simplifying
2(x2 + 3) = 75

Reorder the terms:
2(3 + x2) = 75
(3 * 2 + x2 * 2) = 75
(6 + 2x2) = 75

Solving
6 + 2x2 = 75

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 = 75 + -6

Combine like terms: 6 + -6 = 0
0 + 2x2 = 75 + -6
2x2 = 75 + -6

Combine like terms: 75 + -6 = 69
2x2 = 69

Divide each side by '2'.
x2 = 34.5

Simplifying
x2 = 34.5

Take the square root of each side:
x = {-5.873670062, 5.873670062}