5n^2-17=58

Solution for 5n^2-17=58 equation:

Simplifying
5n2 + -17 = 58

Reorder the terms:
-17 + 5n2 = 58

Solving
-17 + 5n2 = 58

Solving for variable 'n'.

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

Add '17' to each side of the equation.
-17 + 17 + 5n2 = 58 + 17

Combine like terms: -17 + 17 = 0
0 + 5n2 = 58 + 17
5n2 = 58 + 17

Combine like terms: 58 + 17 = 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}