7n^2+6=629

Solution for 7n^2+6=629 equation:

Simplifying
7n2 + 6 = 629

Reorder the terms:
6 + 7n2 = 629

Solving
6 + 7n2 = 629

Solving for variable 'n'.

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

Add '-6' to each side of the equation.
6 + -6 + 7n2 = 629 + -6

Combine like terms: 6 + -6 = 0
0 + 7n2 = 629 + -6
7n2 = 629 + -6

Combine like terms: 629 + -6 = 623
7n2 = 623

Divide each side by '7'.
n2 = 89

Simplifying
n2 = 89

Take the square root of each side:
n = {-9.433981132, 9.433981132}