5n^2-8+5=0

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

Simplifying
5n2 + -8 + 5 = 0

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

Combine like terms: -8 + 5 = -3
-3 + 5n2 = 0

Solving
-3 + 5n2 = 0

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 + 5n2 = 0 + 3

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

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

Divide each side by '5'.
n2 = 0.6

Simplifying
n2 = 0.6

Take the square root of each side:
n = {-0.774596669, 0.774596669}