n^2+8n+16=n+4-11

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Solution for n^2+8n+16=n+4-11 equation: 


Simplifying
n2 + 8n + 16 = n + 4 + -11

Reorder the terms:
16 + 8n + n2 = n + 4 + -11

Reorder the terms:
16 + 8n + n2 = 4 + -11 + n

Combine like terms: 4 + -11 = -7
16 + 8n + n2 = -7 + n

Solving
16 + 8n + n2 = -7 + n

Solving for variable 'n'.

Reorder the terms:
16 + 7 + 8n + -1n + n2 = -7 + n + 7 + -1n

Combine like terms: 16 + 7 = 23
23 + 8n + -1n + n2 = -7 + n + 7 + -1n

Combine like terms: 8n + -1n = 7n
23 + 7n + n2 = -7 + n + 7 + -1n

Reorder the terms:
23 + 7n + n2 = -7 + 7 + n + -1n

Combine like terms: -7 + 7 = 0
23 + 7n + n2 = 0 + n + -1n
23 + 7n + n2 = n + -1n

Combine like terms: n + -1n = 0
23 + 7n + n2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-23' to each side of the equation.
23 + 7n + -23 + n2 = 0 + -23

Reorder the terms:
23 + -23 + 7n + n2 = 0 + -23

Combine like terms: 23 + -23 = 0
0 + 7n + n2 = 0 + -23
7n + n2 = 0 + -23

Combine like terms: 0 + -23 = -23
7n + n2 = -23

The n term is 7n.  Take half its coefficient (3.5).
Square it (12.25) and add it to both sides.

Add '12.25' to each side of the equation.
7n + 12.25 + n2 = -23 + 12.25

Reorder the terms:
12.25 + 7n + n2 = -23 + 12.25

Combine like terms: -23 + 12.25 = -10.75
12.25 + 7n + n2 = -10.75

Factor a perfect square on the left side:
(n + 3.5)(n + 3.5) = -10.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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