(3n^2-0.75)=90

Solution for (3n^2-0.75)=90 equation:

Simplifying
(3n2 + -0.75) = 90

Reorder the terms:
(-0.75 + 3n2) = 90

Remove parenthesis around (-0.75 + 3n2)
-0.75 + 3n2 = 90

Solving
-0.75 + 3n2 = 90

Solving for variable 'n'.

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

Add '0.75' to each side of the equation.
-0.75 + 0.75 + 3n2 = 90 + 0.75

Combine like terms: -0.75 + 0.75 = 0.00
0.00 + 3n2 = 90 + 0.75
3n2 = 90 + 0.75

Combine like terms: 90 + 0.75 = 90.75
3n2 = 90.75

Divide each side by '3'.
n2 = 30.25

Simplifying
n2 = 30.25

Take the square root of each side:
n = {-5.5, 5.5}