576=2n^2+n^2

Solution for 576=2n^2+n^2 equation:

Simplifying
576 = 2n2 + n2

Combine like terms: 2n2 + n2 = 3n2
576 = 3n2

Solving
576 = 3n2

Solving for variable 'n'.

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

Add '-3n2' to each side of the equation.
576 + -3n2 = 3n2 + -3n2

Combine like terms: 3n2 + -3n2 = 0
576 + -3n2 = 0

Add '-576' to each side of the equation.
576 + -576 + -3n2 = 0 + -576

Combine like terms: 576 + -576 = 0
0 + -3n2 = 0 + -576
-3n2 = 0 + -576

Combine like terms: 0 + -576 = -576
-3n2 = -576

Divide each side by '-3'.
n2 = 192

Simplifying
n2 = 192

Take the square root of each side:
n = {-13.856406461, 13.856406461}