10n^2+4n+1=-2

Solution for 10n^2+4n+1=-2 equation:

Simplifying
10n2 + 4n + 1 = -2

Reorder the terms:
1 + 4n + 10n2 = -2

Solving
1 + 4n + 10n2 = -2

Solving for variable 'n'.

Reorder the terms:
1 + 2 + 4n + 10n2 = -2 + 2

Combine like terms: 1 + 2 = 3
3 + 4n + 10n2 = -2 + 2

Combine like terms: -2 + 2 = 0
3 + 4n + 10n2 = 0

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

Divide each side by '10'.
0.3 + 0.4n + n2 = 0

Move the constant term to the right:

Add '-0.3' to each side of the equation.
0.3 + 0.4n + -0.3 + n2 = 0 + -0.3

Reorder the terms:
0.3 + -0.3 + 0.4n + n2 = 0 + -0.3

Combine like terms: 0.3 + -0.3 = 0.0
0.0 + 0.4n + n2 = 0 + -0.3
0.4n + n2 = 0 + -0.3

Combine like terms: 0 + -0.3 = -0.3
0.4n + n2 = -0.3

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 = -0.3 + 0.04

Reorder the terms:
0.04 + 0.4n + n2 = -0.3 + 0.04

Combine like terms: -0.3 + 0.04 = -0.26
0.04 + 0.4n + n2 = -0.26

Factor a perfect square on the left side:
(n + 0.2)(n + 0.2) = -0.26

Can't calculate square root of the right side.

The solution to this equation could not be determined.