49n^2-1=80

Solution for 49n^2-1=80 equation:

Simplifying
49n2 + -1 = 80

Reorder the terms:
-1 + 49n2 = 80

Solving
-1 + 49n2 = 80

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 + 49n2 = 80 + 1

Combine like terms: -1 + 1 = 0
0 + 49n2 = 80 + 1
49n2 = 80 + 1

Combine like terms: 80 + 1 = 81
49n2 = 81

Divide each side by '49'.
n2 = 1.653061224

Simplifying
n2 = 1.653061224

Take the square root of each side:
n = {-1.285714286, 1.285714286}