7n^2-6=15

Solution for 7n^2-6=15 equation:

Simplifying
7n2 + -6 = 15

Reorder the terms:
-6 + 7n2 = 15

Solving
-6 + 7n2 = 15

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 = 15 + 6

Combine like terms: -6 + 6 = 0
0 + 7n2 = 15 + 6
7n2 = 15 + 6

Combine like terms: 15 + 6 = 21
7n2 = 21

Divide each side by '7'.
n2 = 3

Simplifying
n2 = 3

Take the square root of each side:
n = {-1.732050808, 1.732050808}