5n^2-12n+8=0

Solution for 5n^2-12n+8=0 equation:

Simplifying
5n2 + -12n + 8 = 0

Reorder the terms:
8 + -12n + 5n2 = 0

Solving
8 + -12n + 5n2 = 0

Solving for variable 'n'.

Begin completing the square.  Divide all terms by
5 the coefficient of the squared term: 

Divide each side by '5'.
1.6 + -2.4n + n2 = 0

Move the constant term to the right:

Add '-1.6' to each side of the equation.
1.6 + -2.4n + -1.6 + n2 = 0 + -1.6

Reorder the terms:
1.6 + -1.6 + -2.4n + n2 = 0 + -1.6

Combine like terms: 1.6 + -1.6 = 0.0
0.0 + -2.4n + n2 = 0 + -1.6
-2.4n + n2 = 0 + -1.6

Combine like terms: 0 + -1.6 = -1.6
-2.4n + n2 = -1.6

The n term is -2.4n.  Take half its coefficient (-1.2).
Square it (1.44) and add it to both sides.

Add '1.44' to each side of the equation.
-2.4n + 1.44 + n2 = -1.6 + 1.44

Reorder the terms:
1.44 + -2.4n + n2 = -1.6 + 1.44

Combine like terms: -1.6 + 1.44 = -0.16
1.44 + -2.4n + n2 = -0.16

Factor a perfect square on the left side:
(n + -1.2)(n + -1.2) = -0.16

Can't calculate square root of the right side.

The solution to this equation could not be determined.