3n^2-2=n^2+6

Solution for 3n^2-2=n^2+6 equation:

Simplifying
3n2 + -2 = n2 + 6

Reorder the terms:
-2 + 3n2 = n2 + 6

Reorder the terms:
-2 + 3n2 = 6 + n2

Solving
-2 + 3n2 = 6 + n2

Solving for variable 'n'.

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

Add '-1n2' to each side of the equation.
-2 + 3n2 + -1n2 = 6 + n2 + -1n2

Combine like terms: 3n2 + -1n2 = 2n2
-2 + 2n2 = 6 + n2 + -1n2

Combine like terms: n2 + -1n2 = 0
-2 + 2n2 = 6 + 0
-2 + 2n2 = 6

Add '2' to each side of the equation.
-2 + 2 + 2n2 = 6 + 2

Combine like terms: -2 + 2 = 0
0 + 2n2 = 6 + 2
2n2 = 6 + 2

Combine like terms: 6 + 2 = 8
2n2 = 8

Divide each side by '2'.
n2 = 4

Simplifying
n2 = 4

Take the square root of each side:
n = {-2, 2}