nr+ns=1forn

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Solution for nr+ns=1forn equation:


Simplifying
nr + ns = 1forn

Solving
nr + ns = 1fnor

Solving for variable 'n'.

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

Add '-1fnor' to each side of the equation.
nr + -1fnor + ns = 1fnor + -1fnor

Reorder the terms:
-1fnor + nr + ns = 1fnor + -1fnor

Combine like terms: 1fnor + -1fnor = 0
-1fnor + nr + ns = 0

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