8n^2+10n+11=0

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Solution for 8n^2+10n+11=0 equation:


Simplifying
8n2 + 10n + 11 = 0

Reorder the terms:
11 + 10n + 8n2 = 0

Solving
11 + 10n + 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'.
1.375 + 1.25n + n2 = 0

Move the constant term to the right:

Add '-1.375' to each side of the equation.
1.375 + 1.25n + -1.375 + n2 = 0 + -1.375

Reorder the terms:
1.375 + -1.375 + 1.25n + n2 = 0 + -1.375

Combine like terms: 1.375 + -1.375 = 0.000
0.000 + 1.25n + n2 = 0 + -1.375
1.25n + n2 = 0 + -1.375

Combine like terms: 0 + -1.375 = -1.375
1.25n + n2 = -1.375

The n term is 1.25n.  Take half its coefficient (0.625).
Square it (0.390625) and add it to both sides.

Add '0.390625' to each side of the equation.
1.25n + 0.390625 + n2 = -1.375 + 0.390625

Reorder the terms:
0.390625 + 1.25n + n2 = -1.375 + 0.390625

Combine like terms: -1.375 + 0.390625 = -0.984375
0.390625 + 1.25n + n2 = -0.984375

Factor a perfect square on the left side:
(n + 0.625)(n + 0.625) = -0.984375

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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