n^2-8n+5=5

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Solution for n^2-8n+5=5 equation: 


Simplifying
n2 + -8n + 5 = 5

Reorder the terms:
5 + -8n + n2 = 5

Add '-5' to each side of the equation.
5 + -8n + -5 + n2 = 5 + -5

Reorder the terms:
5 + -5 + -8n + n2 = 5 + -5

Combine like terms: 5 + -5 = 0
0 + -8n + n2 = 5 + -5
-8n + n2 = 5 + -5

Combine like terms: 5 + -5 = 0
-8n + n2 = 0

Solving
-8n + n2 = 0

Solving for variable 'n'.

Factor out the Greatest Common Factor (GCF), 'n'.
n(-8 + n) = 0


Subproblem 1
Set the factor 'n' equal to zero and attempt to solve:

Simplifying
n = 0

Solving
n = 0

Move all terms containing n to the left, all other terms to the right.

Simplifying
n = 0

Subproblem 2
Set the factor '(-8 + n)' equal to zero and attempt to solve:

Simplifying
-8 + n = 0

Solving
-8 + n = 0

Move all terms containing n to the left, all other terms to the right.

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

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

Combine like terms: 0 + 8 = 8
n = 8

Simplifying
n = 8
Solution
n = {0, 8}

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