(n^2-5n+5)(n^2-11n+30)=1

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Solution for (n^2-5n+5)(n^2-11n+30)=1 equation: 


Simplifying
(n2 + -5n + 5)(n2 + -11n + 30) = 1

Reorder the terms:
(5 + -5n + n2)(n2 + -11n + 30) = 1

Reorder the terms:
(5 + -5n + n2)(30 + -11n + n2) = 1

Multiply (5 + -5n + n2) * (30 + -11n + n2)
(5(30 + -11n + n2) + -5n * (30 + -11n + n2) + n2(30 + -11n + n2)) = 1
((30 * 5 + -11n * 5 + n2 * 5) + -5n * (30 + -11n + n2) + n2(30 + -11n + n2)) = 1
((150 + -55n + 5n2) + -5n * (30 + -11n + n2) + n2(30 + -11n + n2)) = 1
(150 + -55n + 5n2 + (30 * -5n + -11n * -5n + n2 * -5n) + n2(30 + -11n + n2)) = 1
(150 + -55n + 5n2 + (-150n + 55n2 + -5n3) + n2(30 + -11n + n2)) = 1
(150 + -55n + 5n2 + -150n + 55n2 + -5n3 + (30 * n2 + -11n * n2 + n2 * n2)) = 1
(150 + -55n + 5n2 + -150n + 55n2 + -5n3 + (30n2 + -11n3 + n4)) = 1

Reorder the terms:
(150 + -55n + -150n + 5n2 + 55n2 + 30n2 + -5n3 + -11n3 + n4) = 1

Combine like terms: -55n + -150n = -205n
(150 + -205n + 5n2 + 55n2 + 30n2 + -5n3 + -11n3 + n4) = 1

Combine like terms: 5n2 + 55n2 = 60n2
(150 + -205n + 60n2 + 30n2 + -5n3 + -11n3 + n4) = 1

Combine like terms: 60n2 + 30n2 = 90n2
(150 + -205n + 90n2 + -5n3 + -11n3 + n4) = 1

Combine like terms: -5n3 + -11n3 = -16n3
(150 + -205n + 90n2 + -16n3 + n4) = 1

Solving
150 + -205n + 90n2 + -16n3 + n4 = 1

Solving for variable 'n'.

Reorder the terms:
150 + -1 + -205n + 90n2 + -16n3 + n4 = 1 + -1

Combine like terms: 150 + -1 = 149
149 + -205n + 90n2 + -16n3 + n4 = 1 + -1

Combine like terms: 1 + -1 = 0
149 + -205n + 90n2 + -16n3 + n4 = 0

The solution to this equation could not be determined.

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