9n^2+3=75

Solution for 9n^2+3=75 equation:

Simplifying
9n2 + 3 = 75

Reorder the terms:
3 + 9n2 = 75

Solving
3 + 9n2 = 75

Solving for variable 'n'.

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

Add '-3' to each side of the equation.
3 + -3 + 9n2 = 75 + -3

Combine like terms: 3 + -3 = 0
0 + 9n2 = 75 + -3
9n2 = 75 + -3

Combine like terms: 75 + -3 = 72
9n2 = 72

Divide each side by '9'.
n2 = 8

Simplifying
n2 = 8

Take the square root of each side:
n = {-2.828427125, 2.828427125}