8n^2+2n+5=0

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


Simplifying
8n2 + 2n + 5 = 0

Reorder the terms:
5 + 2n + 8n2 = 0

Solving
5 + 2n + 8n2 = 0

Solving for variable 'n'.

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

Divide each side by '8'.
0.625 + 0.25n + n2 = 0

Move the constant term to the right:

Add '-0.625' to each side of the equation.
0.625 + 0.25n + -0.625 + n2 = 0 + -0.625

Reorder the terms:
0.625 + -0.625 + 0.25n + n2 = 0 + -0.625

Combine like terms: 0.625 + -0.625 = 0.000
0.000 + 0.25n + n2 = 0 + -0.625
0.25n + n2 = 0 + -0.625

Combine like terms: 0 + -0.625 = -0.625
0.25n + n2 = -0.625

The n term is 0.25n.  Take half its coefficient (0.125).
Square it (0.015625) and add it to both sides.

Add '0.015625' to each side of the equation.
0.25n + 0.015625 + n2 = -0.625 + 0.015625

Reorder the terms:
0.015625 + 0.25n + n2 = -0.625 + 0.015625

Combine like terms: -0.625 + 0.015625 = -0.609375
0.015625 + 0.25n + n2 = -0.609375

Factor a perfect square on the left side:
(n + 0.125)(n + 0.125) = -0.609375

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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