3n^2-20=196

Solution for 3n^2-20=196 equation:

Simplifying
3n2 + -20 = 196

Reorder the terms:
-20 + 3n2 = 196

Solving
-20 + 3n2 = 196

Solving for variable 'n'.

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

Add '20' to each side of the equation.
-20 + 20 + 3n2 = 196 + 20

Combine like terms: -20 + 20 = 0
0 + 3n2 = 196 + 20
3n2 = 196 + 20

Combine like terms: 196 + 20 = 216
3n2 = 216

Divide each side by '3'.
n2 = 72

Simplifying
n2 = 72

Take the square root of each side:
n = {-8.485281374, 8.485281374}