81n^2+33=42

Solution for 81n^2+33=42 equation:

Simplifying
81n2 + 33 = 42

Reorder the terms:
33 + 81n2 = 42

Solving
33 + 81n2 = 42

Solving for variable 'n'.

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

Add '-33' to each side of the equation.
33 + -33 + 81n2 = 42 + -33

Combine like terms: 33 + -33 = 0
0 + 81n2 = 42 + -33
81n2 = 42 + -33

Combine like terms: 42 + -33 = 9
81n2 = 9

Divide each side by '81'.
n2 = 0.1111111111

Simplifying
n2 = 0.1111111111

Take the square root of each side:
n = {-0.333333333, 0.333333333}