tn=5n+7n

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Solution for tn=5n+7n equation: 


Simplifying
tn = 5n + 7n

Combine like terms: 5n + 7n = 12n
nt = 12n

Solving
nt = 12n

Solving for variable 'n'.

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

Add '-12n' to each side of the equation.
-12n + nt = 12n + -12n

Combine like terms: 12n + -12n = 0
-12n + nt = 0

Factor out the Greatest Common Factor (GCF), 'n'.
n(-12 + 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 '(-12 + t)' equal to zero and attempt to solve:

Simplifying
-12 + t = 0

Solving
-12 + t = 0

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

Add '12' to each side of the equation.
-12 + 12 + t = 0 + 12

Combine like terms: -12 + 12 = 0
0 + t = 0 + 12
t = 0 + 12

Combine like terms: 0 + 12 = 12
t = 12

Add '-1t' to each side of the equation.
t + -1t = 12 + -1t

Combine like terms: t + -1t = 0
0 = 12 + -1t

Simplifying
0 = 12 + -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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