n^2+8n+18=0

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Solution for n^2+8n+18=0 equation:


Simplifying
n2 + 8n + 18 = 0

Reorder the terms:
18 + 8n + n2 = 0

Solving
18 + 8n + n2 = 0

Solving for variable 'n'.

Begin completing the square.

Move the constant term to the right:

Add '-18' to each side of the equation.
18 + 8n + -18 + n2 = 0 + -18

Reorder the terms:
18 + -18 + 8n + n2 = 0 + -18

Combine like terms: 18 + -18 = 0
0 + 8n + n2 = 0 + -18
8n + n2 = 0 + -18

Combine like terms: 0 + -18 = -18
8n + n2 = -18

The n term is 8n.  Take half its coefficient (4).
Square it (16) and add it to both sides.

Add '16' to each side of the equation.
8n + 16 + n2 = -18 + 16

Reorder the terms:
16 + 8n + n2 = -18 + 16

Combine like terms: -18 + 16 = -2
16 + 8n + n2 = -2

Factor a perfect square on the left side:
(n + 4)(n + 4) = -2

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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