T(n)=n^3+10n^2+20n+30

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Solution for T(n)=n^3+10n^2+20n+30 equation:


Simplifying
T(n) = n3 + 10n2 + 20n + 30

Multiply T * n
nT = n3 + 10n2 + 20n + 30

Reorder the terms:
nT = 30 + 20n + 10n2 + n3

Solving
nT = 30 + 20n + 10n2 + n3

Solving for variable 'n'.

Reorder the terms:
-30 + -20n + nT + -10n2 + -1n3 = 30 + 20n + 10n2 + n3 + -30 + -20n + -10n2 + -1n3

Reorder the terms:
-30 + -20n + nT + -10n2 + -1n3 = 30 + -30 + 20n + -20n + 10n2 + -10n2 + n3 + -1n3

Combine like terms: 30 + -30 = 0
-30 + -20n + nT + -10n2 + -1n3 = 0 + 20n + -20n + 10n2 + -10n2 + n3 + -1n3
-30 + -20n + nT + -10n2 + -1n3 = 20n + -20n + 10n2 + -10n2 + n3 + -1n3

Combine like terms: 20n + -20n = 0
-30 + -20n + nT + -10n2 + -1n3 = 0 + 10n2 + -10n2 + n3 + -1n3
-30 + -20n + nT + -10n2 + -1n3 = 10n2 + -10n2 + n3 + -1n3

Combine like terms: 10n2 + -10n2 = 0
-30 + -20n + nT + -10n2 + -1n3 = 0 + n3 + -1n3
-30 + -20n + nT + -10n2 + -1n3 = n3 + -1n3

Combine like terms: n3 + -1n3 = 0
-30 + -20n + nT + -10n2 + -1n3 = 0

The solution to this equation could not be determined.

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