n^2-8n+65=9

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Solution for n^2-8n+65=9 equation:


Simplifying
n2 + -8n + 65 = 9

Reorder the terms:
65 + -8n + n2 = 9

Solving
65 + -8n + n2 = 9

Solving for variable 'n'.

Reorder the terms:
65 + -9 + -8n + n2 = 9 + -9

Combine like terms: 65 + -9 = 56
56 + -8n + n2 = 9 + -9

Combine like terms: 9 + -9 = 0
56 + -8n + n2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-56' to each side of the equation.
56 + -8n + -56 + n2 = 0 + -56

Reorder the terms:
56 + -56 + -8n + n2 = 0 + -56

Combine like terms: 56 + -56 = 0
0 + -8n + n2 = 0 + -56
-8n + n2 = 0 + -56

Combine like terms: 0 + -56 = -56
-8n + n2 = -56

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 = -56 + 16

Reorder the terms:
16 + -8n + n2 = -56 + 16

Combine like terms: -56 + 16 = -40
16 + -8n + n2 = -40

Factor a perfect square on the left side:
(n + -4)(n + -4) = -40

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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