n^2+n+8=0

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


Simplifying
n2 + n + 8 = 0

Reorder the terms:
8 + n + n2 = 0

Solving
8 + n + n2 = 0

Solving for variable 'n'.

Begin completing the square.

Move the constant term to the right:

Add '-8' to each side of the equation.
8 + n + -8 + n2 = 0 + -8

Reorder the terms:
8 + -8 + n + n2 = 0 + -8

Combine like terms: 8 + -8 = 0
0 + n + n2 = 0 + -8
n + n2 = 0 + -8

Combine like terms: 0 + -8 = -8
n + n2 = -8

The n term is n.  Take half its coefficient (0.5).
Square it (0.25) and add it to both sides.

Add '0.25' to each side of the equation.
n + 0.25 + n2 = -8 + 0.25

Reorder the terms:
0.25 + n + n2 = -8 + 0.25

Combine like terms: -8 + 0.25 = -7.75
0.25 + n + n2 = -7.75

Factor a perfect square on the left side:
(n + 0.5)(n + 0.5) = -7.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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