3n=mn

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Solution for 3n=mn equation:


Simplifying
3n = mn

Solving
3n = mn

Solving for variable 'n'.

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

Add '-1mn' to each side of the equation.
-1mn + 3n = mn + -1mn

Combine like terms: mn + -1mn = 0
-1mn + 3n = 0

Factor out the Greatest Common Factor (GCF), 'n'.
n(-1m + 3) = 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 '(-1m + 3)' equal to zero and attempt to solve: Simplifying -1m + 3 = 0 Reorder the terms: 3 + -1m = 0 Solving 3 + -1m = 0 Move all terms containing n to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -1m = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1m = 0 + -3 -1m = 0 + -3 Combine like terms: 0 + -3 = -3 -1m = -3 Add 'm' to each side of the equation. -1m + m = -3 + m Combine like terms: -1m + m = 0 0 = -3 + m Simplifying 0 = -3 + m 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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