2*(6n^2-17)=19

Solution for 2*(6n^2-17)=19 equation:

Simplifying
2(6n2 + -17) = 19

Reorder the terms:
2(-17 + 6n2) = 19
(-17 * 2 + 6n2 * 2) = 19
(-34 + 12n2) = 19

Solving
-34 + 12n2 = 19

Solving for variable 'n'.

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

Add '34' to each side of the equation.
-34 + 34 + 12n2 = 19 + 34

Combine like terms: -34 + 34 = 0
0 + 12n2 = 19 + 34
12n2 = 19 + 34

Combine like terms: 19 + 34 = 53
12n2 = 53

Divide each side by '12'.
n2 = 4.416666667

Simplifying
n2 = 4.416666667

Take the square root of each side:
n = {-2.101586702, 2.101586702}