4n^2-3=89

Solution for 4n^2-3=89 equation:

Simplifying
4n2 + -3 = 89

Reorder the terms:
-3 + 4n2 = 89

Solving
-3 + 4n2 = 89

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 + 4n2 = 89 + 3

Combine like terms: -3 + 3 = 0
0 + 4n2 = 89 + 3
4n2 = 89 + 3

Combine like terms: 89 + 3 = 92
4n2 = 92

Divide each side by '4'.
n2 = 23

Simplifying
n2 = 23

Take the square root of each side:
n = {-4.795831523, 4.795831523}