10n^2+2n=-1

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

Simplifying
10n2 + 2n = -1

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

Solving
2n + 10n2 = -1

Solving for variable 'n'.

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

Combine like terms: -1 + 1 = 0
1 + 2n + 10n2 = 0

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

Divide each side by '10'.
0.1 + 0.2n + n2 = 0

Move the constant term to the right:

Add '-0.1' to each side of the equation.
0.1 + 0.2n + -0.1 + n2 = 0 + -0.1

Reorder the terms:
0.1 + -0.1 + 0.2n + n2 = 0 + -0.1

Combine like terms: 0.1 + -0.1 = 0.0
0.0 + 0.2n + n2 = 0 + -0.1
0.2n + n2 = 0 + -0.1

Combine like terms: 0 + -0.1 = -0.1
0.2n + n2 = -0.1

The n term is 0.2n.  Take half its coefficient (0.1).
Square it (0.01) and add it to both sides.

Add '0.01' to each side of the equation.
0.2n + 0.01 + n2 = -0.1 + 0.01

Reorder the terms:
0.01 + 0.2n + n2 = -0.1 + 0.01

Combine like terms: -0.1 + 0.01 = -0.09
0.01 + 0.2n + n2 = -0.09

Factor a perfect square on the left side:
(n + 0.1)(n + 0.1) = -0.09

Can't calculate square root of the right side.

The solution to this equation could not be determined.