7n^2-6=386

Solution for 7n^2-6=386 equation:

Simplifying
7n2 + -6 = 386

Reorder the terms:
-6 + 7n2 = 386

Solving
-6 + 7n2 = 386

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 = 386 + 6

Combine like terms: -6 + 6 = 0
0 + 7n2 = 386 + 6
7n2 = 386 + 6

Combine like terms: 386 + 6 = 392
7n2 = 392

Divide each side by '7'.
n2 = 56

Simplifying
n2 = 56

Take the square root of each side:
n = {-7.483314774, 7.483314774}