tn=3n+n

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Solution for tn=3n+n equation:


Simplifying
tn = 3n + n

Combine like terms: 3n + n = 4n
nt = 4n

Solving
nt = 4n

Solving for variable 'n'.

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

Add '-4n' to each side of the equation.
-4n + nt = 4n + -4n

Combine like terms: 4n + -4n = 0
-4n + nt = 0

Factor out the Greatest Common Factor (GCF), 'n'.
n(-4 + t) = 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 '(-4 + t)' equal to zero and attempt to solve: Simplifying -4 + t = 0 Solving -4 + t = 0 Move all terms containing n to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + t = 0 + 4 Combine like terms: -4 + 4 = 0 0 + t = 0 + 4 t = 0 + 4 Combine like terms: 0 + 4 = 4 t = 4 Add '-1t' to each side of the equation. t + -1t = 4 + -1t Combine like terms: t + -1t = 0 0 = 4 + -1t Simplifying 0 = 4 + -1t The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.

Solution

n = {0}

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