10n^2-1=579

Solution for 10n^2-1=579 equation:

Simplifying
10n2 + -1 = 579

Reorder the terms:
-1 + 10n2 = 579

Solving
-1 + 10n2 = 579

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 + 10n2 = 579 + 1

Combine like terms: -1 + 1 = 0
0 + 10n2 = 579 + 1
10n2 = 579 + 1

Combine like terms: 579 + 1 = 580
10n2 = 580

Divide each side by '10'.
n2 = 58

Simplifying
n2 = 58

Take the square root of each side:
n = {-7.615773106, 7.615773106}