5n^2+1=76

Solution for 5n^2+1=76 equation:

Simplifying
5n2 + 1 = 76

Reorder the terms:
1 + 5n2 = 76

Solving
1 + 5n2 = 76

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 + 5n2 = 76 + -1

Combine like terms: 1 + -1 = 0
0 + 5n2 = 76 + -1
5n2 = 76 + -1

Combine like terms: 76 + -1 = 75
5n2 = 75

Divide each side by '5'.
n2 = 15

Simplifying
n2 = 15

Take the square root of each side:
n = {-3.872983346, 3.872983346}