5n^2-39-8=0

Solution for 5n^2-39-8=0 equation:

Simplifying
5n2 + -39 + -8 = 0

Reorder the terms:
-39 + -8 + 5n2 = 0

Combine like terms: -39 + -8 = -47
-47 + 5n2 = 0

Solving
-47 + 5n2 = 0

Solving for variable 'n'.

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

Add '47' to each side of the equation.
-47 + 47 + 5n2 = 0 + 47

Combine like terms: -47 + 47 = 0
0 + 5n2 = 0 + 47
5n2 = 0 + 47

Combine like terms: 0 + 47 = 47
5n2 = 47

Divide each side by '5'.
n2 = 9.4

Simplifying
n2 = 9.4

Take the square root of each side:
n = {-3.065941943, 3.065941943}