4n^2-46=3

Solution for 4n^2-46=3 equation:

Simplifying
4n2 + -46 = 3

Reorder the terms:
-46 + 4n2 = 3

Solving
-46 + 4n2 = 3

Solving for variable 'n'.

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

Add '46' to each side of the equation.
-46 + 46 + 4n2 = 3 + 46

Combine like terms: -46 + 46 = 0
0 + 4n2 = 3 + 46
4n2 = 3 + 46

Combine like terms: 3 + 46 = 49
4n2 = 49

Divide each side by '4'.
n2 = 12.25

Simplifying
n2 = 12.25

Take the square root of each side:
n = {-3.5, 3.5}