3n^2+9=176.75

Solution for 3n^2+9=176.75 equation:

Simplifying
3n2 + 9 = 176.75

Reorder the terms:
9 + 3n2 = 176.75

Solving
9 + 3n2 = 176.75

Solving for variable 'n'.

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

Add '-9' to each side of the equation.
9 + -9 + 3n2 = 176.75 + -9

Combine like terms: 9 + -9 = 0
0 + 3n2 = 176.75 + -9
3n2 = 176.75 + -9

Combine like terms: 176.75 + -9 = 167.75
3n2 = 167.75

Divide each side by '3'.
n2 = 55.91666667

Simplifying
n2 = 55.91666667

Take the square root of each side:
n = {-7.477744758, 7.477744758}