7n^2-1=566

Solution for 7n^2-1=566 equation:

Simplifying
7n2 + -1 = 566

Reorder the terms:
-1 + 7n2 = 566

Solving
-1 + 7n2 = 566

Solving for variable 'n'.

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

Add '1' to each side of the equation.
-1 + 1 + 7n2 = 566 + 1

Combine like terms: -1 + 1 = 0
0 + 7n2 = 566 + 1
7n2 = 566 + 1

Combine like terms: 566 + 1 = 567
7n2 = 567

Divide each side by '7'.
n2 = 81

Simplifying
n2 = 81

Take the square root of each side:
n = {-9, 9}