n^2+18n+85=0

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Solution for n^2+18n+85=0 equation:


Simplifying
n2 + 18n + 85 = 0

Reorder the terms:
85 + 18n + n2 = 0

Solving
85 + 18n + n2 = 0

Solving for variable 'n'.

Begin completing the square.

Move the constant term to the right:

Add '-85' to each side of the equation.
85 + 18n + -85 + n2 = 0 + -85

Reorder the terms:
85 + -85 + 18n + n2 = 0 + -85

Combine like terms: 85 + -85 = 0
0 + 18n + n2 = 0 + -85
18n + n2 = 0 + -85

Combine like terms: 0 + -85 = -85
18n + n2 = -85

The n term is 18n.  Take half its coefficient (9).
Square it (81) and add it to both sides.

Add '81' to each side of the equation.
18n + 81 + n2 = -85 + 81

Reorder the terms:
81 + 18n + n2 = -85 + 81

Combine like terms: -85 + 81 = -4
81 + 18n + n2 = -4

Factor a perfect square on the left side:
(n + 9)(n + 9) = -4

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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