2(5+6x^2)=75

Solution for 2(5+6x^2)=75 equation:

Simplifying
2(5 + 6x2) = 75
(5 * 2 + 6x2 * 2) = 75
(10 + 12x2) = 75

Solving
10 + 12x2 = 75

Solving for variable 'x'.

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

Add '-10' to each side of the equation.
10 + -10 + 12x2 = 75 + -10

Combine like terms: 10 + -10 = 0
0 + 12x2 = 75 + -10
12x2 = 75 + -10

Combine like terms: 75 + -10 = 65
12x2 = 65

Divide each side by '12'.
x2 = 5.416666667

Simplifying
x2 = 5.416666667

Take the square root of each side:
x = {-2.327373341, 2.327373341}