53=3n^2+5

Solution for 53=3n^2+5 equation:

Simplifying
53 = 3n2 + 5

Reorder the terms:
53 = 5 + 3n2

Solving
53 = 5 + 3n2

Solving for variable 'n'.

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

Add '-3n2' to each side of the equation.
53 + -3n2 = 5 + 3n2 + -3n2

Combine like terms: 3n2 + -3n2 = 0
53 + -3n2 = 5 + 0
53 + -3n2 = 5

Add '-53' to each side of the equation.
53 + -53 + -3n2 = 5 + -53

Combine like terms: 53 + -53 = 0
0 + -3n2 = 5 + -53
-3n2 = 5 + -53

Combine like terms: 5 + -53 = -48
-3n2 = -48

Divide each side by '-3'.
n2 = 16

Simplifying
n2 = 16

Take the square root of each side:
n = {-4, 4}