5n^2+10n+8=

Solution for 5n^2+10n+8= equation:

Simplifying
5n2 + 10n + 8 = 0

Reorder the terms:
8 + 10n + 5n2 = 0

Solving
8 + 10n + 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 + 2n + n2 = 0

Move the constant term to the right:

Add '-1.6' to each side of the equation.
1.6 + 2n + -1.6 + n2 = 0 + -1.6

Reorder the terms:
1.6 + -1.6 + 2n + n2 = 0 + -1.6

Combine like terms: 1.6 + -1.6 = 0.0
0.0 + 2n + n2 = 0 + -1.6
2n + n2 = 0 + -1.6

Combine like terms: 0 + -1.6 = -1.6
2n + n2 = -1.6

The n term is 2n.  Take half its coefficient (1).
Square it (1) and add it to both sides.

Add '1' to each side of the equation.
2n + 1 + n2 = -1.6 + 1

Reorder the terms:
1 + 2n + n2 = -1.6 + 1

Combine like terms: -1.6 + 1 = -0.6
1 + 2n + n2 = -0.6

Factor a perfect square on the left side:
(n + 1)(n + 1) = -0.6

Can't calculate square root of the right side.

The solution to this equation could not be determined.