n^2-8n+20=0

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Solution for n^2-8n+20=0 equation:


Simplifying
n2 + -8n + 20 = 0

Reorder the terms:
20 + -8n + n2 = 0

Solving
20 + -8n + n2 = 0

Solving for variable 'n'.

Begin completing the square.

Move the constant term to the right:

Add '-20' to each side of the equation.
20 + -8n + -20 + n2 = 0 + -20

Reorder the terms:
20 + -20 + -8n + n2 = 0 + -20

Combine like terms: 20 + -20 = 0
0 + -8n + n2 = 0 + -20
-8n + n2 = 0 + -20

Combine like terms: 0 + -20 = -20
-8n + n2 = -20

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 = -20 + 16

Reorder the terms:
16 + -8n + n2 = -20 + 16

Combine like terms: -20 + 16 = -4
16 + -8n + n2 = -4

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

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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