4n^2+1=308

Solution for 4n^2+1=308 equation:

Simplifying
4n2 + 1 = 308

Reorder the terms:
1 + 4n2 = 308

Solving
1 + 4n2 = 308

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 + 4n2 = 308 + -1

Combine like terms: 1 + -1 = 0
0 + 4n2 = 308 + -1
4n2 = 308 + -1

Combine like terms: 308 + -1 = 307
4n2 = 307

Divide each side by '4'.
n2 = 76.75

Simplifying
n2 = 76.75

Take the square root of each side:
n = {-8.760707734, 8.760707734}