5n^2-2n+28=0

Solution for 5n^2-2n+28=0 equation:

Simplifying
5n2 + -2n + 28 = 0

Reorder the terms:
28 + -2n + 5n2 = 0

Solving
28 + -2n + 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'.
5.6 + -0.4n + n2 = 0

Move the constant term to the right:

Add '-5.6' to each side of the equation.
5.6 + -0.4n + -5.6 + n2 = 0 + -5.6

Reorder the terms:
5.6 + -5.6 + -0.4n + n2 = 0 + -5.6

Combine like terms: 5.6 + -5.6 = 0.0
0.0 + -0.4n + n2 = 0 + -5.6
-0.4n + n2 = 0 + -5.6

Combine like terms: 0 + -5.6 = -5.6
-0.4n + n2 = -5.6

The n term is -0.4n.  Take half its coefficient (-0.2).
Square it (0.04) and add it to both sides.

Add '0.04' to each side of the equation.
-0.4n + 0.04 + n2 = -5.6 + 0.04

Reorder the terms:
0.04 + -0.4n + n2 = -5.6 + 0.04

Combine like terms: -5.6 + 0.04 = -5.56
0.04 + -0.4n + n2 = -5.56

Factor a perfect square on the left side:
(n + -0.2)(n + -0.2) = -5.56

Can't calculate square root of the right side.

The solution to this equation could not be determined.