5n^2-3=257

Solution for 5n^2-3=257 equation:

Simplifying
5n2 + -3 = 257

Reorder the terms:
-3 + 5n2 = 257

Solving
-3 + 5n2 = 257

Solving for variable 'n'.

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

Add '3' to each side of the equation.
-3 + 3 + 5n2 = 257 + 3

Combine like terms: -3 + 3 = 0
0 + 5n2 = 257 + 3
5n2 = 257 + 3

Combine like terms: 257 + 3 = 260
5n2 = 260

Divide each side by '5'.
n2 = 52

Simplifying
n2 = 52

Take the square root of each side:
n = {-7.211102551, 7.211102551}